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인기 문제

순위	주제	문제	형식화된 문제
76801	Solve the Differential Equation	(dy)/(dx)=(18-6x^2)/( x^3-9x+3) 의 제곱근	$\frac{d y}{d x} = \frac{18 - 6 x^{2}}{\sqrt{x^{3} - 9 x + 3}}$
76802	Solve the Differential Equation	y''''+y''''=2+2x+x^2	$y'' + y'' = 2 + 2 x + x^{2}$
76803	Solve the Differential Equation	(dy)/(dx)=x^2 x-10 의 제곱근	$\frac{d y}{d x} = x^{2} \sqrt{x - 10}$
76804	Solve the Differential Equation	(dy)/(dx)=2x* y-1 의 제곱근	$\frac{d y}{d x} = 2 x \cdot \sqrt{y - 1}$
76805	Solve the Differential Equation	(dy)/(dx)=y/x+( x^2-y^2)/x 의 제곱근	$\frac{d y}{d x} = \frac{y}{x} + \frac{\sqrt{x^{2} - y^{2}}}{x}$
76806	Solve the Differential Equation	x^2(dy)/(dx)=3x^2+xy	$x^{2} \frac{d y}{d x} = 3 x^{2} + x y$
76807	Solve the Differential Equation	yy''''=sin(x)	$y y'' = \sin (x)$
76808	Solve the Differential Equation	(dy)/(dx)=e^(y+x)+e^(y-x)	$\frac{d y}{d x} = e^{y + x} + e^{y - x}$
76809	Solve the Differential Equation	f(x)=\|x-4\|	$f (x) = \| x - 4 \|$
76810	Solve the Differential Equation	(dy)/(dx)=1-x+4y	$\frac{d y}{d x} = 1 - x + 4 y$
76811	Solve the Differential Equation	xy''''''''-y''''=x	$x y'''' - y'' = x$
76812	Solve the Differential Equation	xy''''+2y=(e^x)/x	$x y'' + 2 y = \frac{e^{x}}{x}$
76813	Solve the Differential Equation	(dy)/(dx)=y^2+1 that satisfies the initial condition y(1)=0	$\frac{d y}{d x} = y^{2} + 1$ that satisfies the initial condition $y (1) = 0$
76814	Solve the Differential Equation	(dy)/(dt)=64t^7	$\frac{d y}{d t} = 64 t^{7}$
76815	Solve the Differential Equation	(7x^3+7x^2)=-(8+14xy)(dy)/(dx)	$(7 x^{3} + 7 x^{2}) = - (8 + 14 x y) \frac{d y}{d x}$
76816	Solve the Differential Equation	(dy)/(dx)=4/( x) 의 제곱근	$\frac{d y}{d x} = \frac{4}{\sqrt{x}}$
76817	Solve the Differential Equation	(dy)/(dx)=sec(x)	$\frac{d y}{d x} = \sec (x)$
76818	Solve the Differential Equation	(dy)/(dx)-sin(x+3)=0	$\frac{d y}{d x} - \sin (x + 3) = 0$
76819	Solve the Differential Equation	(y/x)(dy)/(dx)=e^(x^2+y^2) , y(0)=0	$(\frac{y}{x}) \frac{d y}{d x} = e^{x^{2} + y^{2}}$ , $y (0) = 0$
76820	Solve the Differential Equation	(dy)/(dx)-y/x=yx^4	$\frac{d y}{d x} - \frac{y}{x} = y x^{4}$
76821	Solve the Differential Equation	(dy)/(dx)+3x^2y=0	$\frac{d y}{d x} + 3 x^{2} y = 0$
76822	Solve the Differential Equation	y''''''''+x(y'''')^2=0	$y'''' + x {(y'')}^{2} = 0$
76823	Solve the Differential Equation	y''''''''''''+y''''''''=e^xcos(x)	$y'''''' + y'''' = e^{x} \cos (x)$
76824	Solve the Differential Equation	2y''''-y=4sin(3t)	$2 y'' - y = 4 \sin (3 t)$
76825	Solve the Differential Equation	y''''+(x+1)y^3=0	$y'' + (x + 1) y^{3} = 0$
76826	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(2x+3)	$x^{2} \frac{d w}{d x} = \sqrt{w} (2 x + 3)$
76827	Solve the Differential Equation	(x+2)^2y''''=5-8y-4xy	${(x + 2)}^{2} y'' = 5 - 8 y - 4 x y$
76828	Solve the Differential Equation	(dy)/(dx)=(xe^x)/(2y)	$\frac{d y}{d x} = \frac{x e^{x}}{2 y}$
76829	Solve the Differential Equation	(2x+y)dx+(x+2y)dy=0	$(2 x + y) d x + (x + 2 y) d y = 0$
76830	Solve the Differential Equation	f(x)=e^x+x^e	$f (x) = e^{x} + x^{e}$
76831	Solve the Differential Equation	e^(2x)y^2dx+(e^(2x)y-2y)dy=0	$e^{2 x} y^{2} d x + (e^{2 x} y - 2 y) d y = 0$
76832	Solve the Differential Equation	f(x)=bx^3	$f (x) = b x^{3}$
76833	Solve the Differential Equation	x x(dy)/(dx)+y=xe^x 의 자연로그	$x \ln (x) \frac{d y}{d x} + y = x e^{x}$
76834	Solve the Differential Equation	3y''''=(4x)/(y^2)	$3 y'' = \frac{4 x}{y^{2}}$
76835	Solve the Differential Equation	(dy)/(dx)=cos(x^2)	$\frac{d y}{d x} = \cos (x^{2})$
76836	Solve the Differential Equation	(dy)/(dx)=(9x^2)/( 9+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{9 x^{2}}{\sqrt{9 + x^{3}}}$
76837	Solve the Differential Equation	(6y-sec(y)^2)dy-(1+sin(x))dx=0	$(6 y - \sec^{2} (y)) d y - (1 + \sin (x)) d x = 0$
76838	Solve the Differential Equation	y''''=1+y/x	$y'' = 1 + \frac{y}{x}$
76839	Solve the Differential Equation	y''''=2x(x^2+1)+x/(x^2+1)y	$y'' = 2 x (x^{2} + 1) + \frac{x}{x^{2} + 1} y$
76840	Solve the Differential Equation	y''''=y^2e^x+y^2	$y'' = y^{2} e^{x} + y^{2}$
76841	Solve the Differential Equation	f(x) = square root of 1-2x	$f (x) = \sqrt{1 - 2 x}$
76842	Solve the Differential Equation	(df)/(dt) = h 가 0 에 한없이 가까워질 때 극한 (f(t+h)-f(t))/h	$\frac{d f}{d t} = lim_{h \to 0} \frac{f (t + h) - f (t)}{h}$
76843	Solve the Differential Equation	(d^2y)/(dx^2)-4(dy)/(dx)+13y=0	$\frac{d^{2} y}{d x^{2}} - 4 \frac{d y}{d x} + 13 y = 0$
76844	Solve the Differential Equation	(dy)/(dx)=(y-5)/(x-8)	$\frac{d y}{d x} = \frac{y - 5}{x - 8}$
76845	Solve the Differential Equation	x+y((dy)/(dx))=0	$x + y (\frac{d y}{d x}) = 0$
76846	Solve the Differential Equation	(ds)/(dt)=16t(4t^2-1)^3 , s(1)=-5	$\frac{d s}{d t} = 16 t {(4 t^{2} - 1)}^{3}$ , $s (1) = - 5$
76847	Solve the Differential Equation	y(xtan(x)+ y)dx+tan(xdy)=0 의 자연로그	$y (x \tan (x) + \ln (y)) d x + \tan (x d y) = 0$
76848	Solve the Differential Equation	x^4+12y(dy)/(dx)=0	$x^{4} + 12 y \frac{d y}{d x} = 0$
76849	Solve the Differential Equation	2(6)(16)+2(8)(dy)/(dt)=0	$2 (6) (16) + 2 (8) \frac{d y}{d t} = 0$
76850	Solve the Differential Equation	(dr)/(dtheta)=9pi	$\frac{d r}{d θ} = 9 π$
76851	Solve the Differential Equation	(x^2+3)y''''=xy	$(x^{2} + 3) y'' = x y$
76852	Solve the Differential Equation	(dy)/(dx)=((10x)/( x)) 의 자연로그	$\frac{d y}{d x} = (\frac{10 x}{(\ln (x))})$
76853	Solve the Differential Equation	dx+x(yd)y=y^2dx+ydy	$d x + x yd y = y^{2} d x + yd y$
76854	Solve the Differential Equation	y''''''''-3y''''+2y=4e^(3x)	$y'''' - 3 y'' + 2 y = 4 e^{3 x}$
76855	Solve the Differential Equation	(dy)/(dx)=24x^2-8x	$\frac{d y}{d x} = 24 x^{2} - 8 x$
76856	Solve the Differential Equation	y''''=5x^2-x^2y	$y'' = 5 x^{2} - x^{2} y$
76857	Solve the Differential Equation	(x^3-5y)/x+(dy)/(dx)=0	$\frac{x^{3} - 5 y}{x} + \frac{d y}{d x} = 0$
76858	Solve the Differential Equation	(d^2y)/(dx^2)+(dy)/(dx)-2y=sin(x)	$\frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} - 2 y = \sin (x)$
76859	Solve the Differential Equation	(dy)/(dx)=-9x^3y	$\frac{d y}{d x} = - 9 x^{3} y$
76860	Solve the Differential Equation	(dy)/(dx)=9x^2-4x+5 , y(-1)=0	$\frac{d y}{d x} = 9 x^{2} - 4 x + 5$ , $y (- 1) = 0$
76861	Solve the Differential Equation	(d^2y)/(dx^2)=4x+3	$\frac{d^{2} y}{d x^{2}} = 4 x + 3$
76862	Solve the Differential Equation	y''''+(y-2sin(x))cos(x)=0	$y'' + (y - 2 \sin (x)) \cos (x) = 0$
76863	Solve the Differential Equation	y''''+3y=e^(-3x)	$y'' + 3 y = e^{- 3 x}$
76864	Solve the Differential Equation	y''''''''-xy=0	$y'''' - x y = 0$
76865	Solve the Differential Equation	(dy)/(dx)=5x^2y-4xy	$\frac{d y}{d x} = 5 x^{2} y - 4 x y$
76866	Solve the Differential Equation	(dy)/(dx)=9x^2y-2xy	$\frac{d y}{d x} = 9 x^{2} y - 2 x y$
76867	Solve the Differential Equation	(dy)/(dx)=4e^(2x-y)	$\frac{d y}{d x} = 4 e^{2 x - y}$
76868	Solve the Differential Equation	(ds)/(dt)=12t(3t^2-1)^3 , s(1)=14	$\frac{d s}{d t} = 12 t {(3 t^{2} - 1)}^{3}$ , $s (1) = 14$
76869	Solve the Differential Equation	(dx)/(dy)-(3x)/y=-5x^2	$\frac{d x}{d y} - \frac{3 x}{y} = - 5 x^{2}$
76870	Solve the Differential Equation	2(yd)x-xdy=0	$2 yd x - x d y = 0$
76871	Solve the Differential Equation	y''''''''''''+3y''''''''-4y=0	$y'''''' + 3 y'''' - 4 y = 0$
76872	Solve the Differential Equation	dy-xdx=0	$d y - x d x = 0$
76873	Solve the Differential Equation	(dy)/(dx)=6x-7 and y(8)=0	$\frac{d y}{d x} = 6 x - 7$ and $y (8) = 0$
76874	Solve the Differential Equation	(dw)/(dt)=10e^((-t)/25)-w/25	$\frac{d w}{d t} = 10 e^{\frac{- t}{25}} - \frac{w}{25}$
76875	Solve the Differential Equation	f(x)=e^x	$f (x) = e^{x}$
76876	Solve the Differential Equation	(4A^3+4AB)dA+(2A^2+2B+1)dB=0	$(4 A^{3} + 4 A B) d A + (2 A^{2} + 2 B + 1) d B = 0$
76877	Solve the Differential Equation	y''''=2y-1	$y'' = 2 y - 1$
76878	Solve the Differential Equation	(dy)/(dx)=1+1/((x-y)^2)	$\frac{d y}{d x} = 1 + \frac{1}{{(x - y)}^{2}}$
76879	Solve the Differential Equation	(dz)/(dt)=-4e^(t+z)	$\frac{d z}{d t} = - 4 e^{t + z}$
76880	Solve the Differential Equation	(dy)/(dx)=(6x^5)/(8e^y)	$\frac{d y}{d x} = \frac{6 x^{5}}{8 e^{y}}$
76881	Solve the Differential Equation	(dy)/(dx)=(2y^2-x^2)/(xy)	$\frac{d y}{d x} = \frac{2 y^{2} - x^{2}}{x y}$
76882	Solve the Differential Equation	x^2y''''+2xy=5y^3	$x^{2} y'' + 2 x y = 5 y^{3}$
76883	Solve the Differential Equation	(dy)/(dx)=y/x+cos(y/x)^2	$\frac{d y}{d x} = \frac{y}{x} + \cos^{2} (\frac{y}{x})$
76884	Solve the Differential Equation	(dy)/(dx) = 제곱근 y+4x 제곱근 y	$\frac{d y}{d x} = \sqrt{y} + 4 x \sqrt{y}$
76885	Solve the Differential Equation	(x+2)dx=(x+3)sin(y)cos(ydy)	$(x + 2) d x = (x + 3) \sin (y) \cos (yd y)$
76886	Solve the Differential Equation	(d^2(yd)y)/(dx^2dx)=25x^29(d^3y)/(dx^3)-(d^4y)/(dx^4)-(d^(7y))/(dx^7)	$\frac{d^{2} yd y}{d x^{2} d x} = 25 x^{29} \frac{d^{3} y}{d x^{3}} - \frac{d^{4} y}{d x^{4}} - \frac{d^{7 y}}{d x^{7}}$
76887	Solve the Differential Equation	(dy)/(dx)=7x^(1/5)	$\frac{d y}{d x} = 7 x^{\frac{1}{5}}$
76888	Solve the Differential Equation	(dy)/(dx)=(1-2x)/(4x-x^2)	$\frac{d y}{d x} = \frac{1 - 2 x}{4 x - x^{2}}$
76889	Solve the Differential Equation	(dy)/(dx)+2/xy=(sin(3x))/(x^2)	$\frac{d y}{d x} + \frac{2}{x} y = \frac{\sin (3 x)}{x^{2}}$
76890	Solve the Differential Equation	(2xy-3x^2y^2)dx+(x^2-2x^3y)dy=0	$(2 x y - 3 x^{2} y^{2}) d x + (x^{2} - 2 x^{3} y) d y = 0$
76891	Solve the Differential Equation	(dy)/(dx)=-3x^2y+x^2	$\frac{d y}{d x} = - 3 x^{2} y + x^{2}$
76892	Solve the Differential Equation	(dy)/(dx)=22-y	$\frac{d y}{d x} = 22 - y$
76893	Solve the Differential Equation	(x-3)(dy)/(dx)+y x=2x 의 자연로그	$(x - 3) \frac{d y}{d x} + y \ln (x) = 2 x$
76894	Solve the Differential Equation	(dy)/(dt)=y^2-8y+15	$\frac{d y}{d t} = y^{2} - 8 y + 15$
76895	Solve the Differential Equation	(dP)/(dt)=P^2-7P+12	$\frac{d P}{d t} = P^{2} - 7 P + 12$
76896	Solve the Differential Equation	제곱근 x(dy)/(dx)=e^(3y+ 제곱근 x)	$\sqrt{x} \frac{d y}{d x} = e^{3 y + \sqrt{x}}$
76897	Solve the Differential Equation	y''''''''+4y=-2	$y'''' + 4 y = - 2$
76898	Solve the Differential Equation	x^2sin(x)dx+x(yd)y=0	$x^{2} \sin (x) d x + x yd y = 0$
76899	Solve the Differential Equation	(dy)/(dx)=3cos(x)	$\frac{d y}{d x} = 3 \cos (x)$
76900	Solve the Differential Equation	(dy)/(dx)=(y(2x^2-xy+y^2))/(x^2(2x-y))	$\frac{d y}{d x} = \frac{y (2 x^{2} - x y + y^{2})}{x^{2} (2 x - y)}$