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인기 문제

순위	주제	문제	형식화된 문제
75801	Solve the Differential Equation	(dy)/(dx)+9xe^y=0	$\frac{d y}{d x} + 9 x e^{y} = 0$
75802	Solve the Differential Equation	(dy)/(dx)=3x^2-6x+5	$\frac{d y}{d x} = 3 x^{2} - 6 x + 5$
75803	Solve the Differential Equation	(x+2y)dx-3(yd)y=0	$(x + 2 y) d x - 3 yd y = 0$
75804	Solve the Differential Equation	(y^2-3yx^2)dx-(x^2-6xy^2)dy=0	$(y^{2} - 3 y x^{2}) d x - (x^{2} - 6 x y^{2}) d y = 0$
75805	Solve the Differential Equation	x^2-1(yd)y+(y+1)dx=0 의 제곱근	$\sqrt{x^{2} - 1} yd y + (y + 1) d x = 0$
75806	Solve the Differential Equation	y''''=3-2y	$y'' = 3 - 2 y$
75807	Solve the Differential Equation	(dy)/(dx)+y=2e^(-x)	$\frac{d y}{d x} + y = 2 e^{- x}$
75808	Solve the Differential Equation	sin(xdx)+(dy)/( y)=0 의 제곱근	$\sin (x d x) + \frac{d y}{\sqrt{y}} = 0$
75809	Solve the Differential Equation	(dR)/(dx)=a(R^2+16)	$\frac{d R}{d x} = a (R^{2} + 16)$
75810	Solve the Differential Equation	(dy)/(dx)+4y-e^(-x)=0	$\frac{d y}{d x} + 4 y - e^{- x} = 0$
75811	Solve the Differential Equation	(y+ x^2+y^2)dx-xdy=0 의 제곱근	$(y + \sqrt{x^{2} + y^{2}}) d x - x d y = 0$
75812	Solve the Differential Equation	(dy)/(dx)=x/(36y)	$\frac{d y}{d x} = \frac{x}{36 y}$
75813	Solve the Differential Equation	xy(1+xy^2)(dy)/(dx)=1	$x y (1 + x y^{2}) \frac{d y}{d x} = 1$
75814	Solve the Differential Equation	6(dy)/(dtheta)=(e^ysin(theta)^2)/(ysec(theta))	$6 \frac{d y}{d θ} = \frac{e^{y} \sin^{2} (θ)}{y \sec (θ)}$
75815	Solve the Differential Equation	y x-x(dy)/(dx)=0 의 자연로그	$y \ln (x) - x \frac{d y}{d x} = 0$
75816	Solve the Differential Equation	dv+25vdt=9.8dt	$d v + 25 v d t = 9.8 d t$
75817	Solve the Differential Equation	y''''''''+2y''''+y=cos(t)	$y'''' + 2 y'' + y = \cos (t)$
75818	Solve the Differential Equation	e^(-3x-1) ydy-ye^xdx=0 의 자연로그	$e^{- 3 x - 1} \ln (yd y) - y e^{x} d x = 0$
75819	Solve the Differential Equation	y(x^2-y^2)dx+x(x^2+y^2)dy=0	$y (x^{2} - y^{2}) d x + x (x^{2} + y^{2}) d y = 0$
75820	Solve the Differential Equation	(x^2+y)(dy)/(dx)=-2xy	$(x^{2} + y) \frac{d y}{d x} = - 2 x y$
75821	Solve the Differential Equation	dx+e^(4x)dy=0	$d x + e^{4 x} d y = 0$
75822	Solve the Differential Equation	(x^2y^3+2y)dx+(2x-2x^3y^2)dy=0	$(x^{2} y^{3} + 2 y) d x + (2 x - 2 x^{3} y^{2}) d y = 0$
75823	Solve the Differential Equation	5y^2+10xyy''''=0	$5 y^{2} + 10 x y y'' = 0$
75824	Solve the Differential Equation	(dy)/(dx)=(y^2)/(2 x) 의 제곱근	$\frac{d y}{d x} = \frac{y^{2}}{2 \sqrt{x}}$
75825	Solve the Differential Equation	(dy)/(dx)=(14x)/y	$\frac{d y}{d x} = \frac{14 x}{y}$
75826	Solve the Differential Equation	y''''=5x^2-3	$y'' = 5 x^{2} - 3$
75827	Solve the Differential Equation	(dy)/(dx)=(3x+2y)/x	$\frac{d y}{d x} = \frac{3 \cdot x + 2 \cdot y}{x}$
75828	Solve the Differential Equation	dx+1/(y^4)dx=0	$d x + \frac{1}{y^{4}} d x = 0$
75829	Solve the Differential Equation	4y''''-25y=0	$4 y'' - 25 y = 0$
75830	Solve the Differential Equation	y''''=2+y	$y'' = 2 + y$
75831	Solve the Differential Equation	(dy)/(dx)=(xy^2+2x-3y^2-6)/(xy-x+4y-4)	$\frac{d y}{d x} = \frac{x y^{2} + 2 x - 3 y^{2} - 6}{x y - x + 4 y - 4}$
75832	Solve the Differential Equation	(dy)/(dt)=y^2(6+t)	$\frac{d y}{d t} = y^{2} (6 + t)$
75833	Solve the Differential Equation	x(y^2+1)dx+y(x^2+1)dy=0	$x (y^{2} + 1) d x + y (x^{2} + 1) d y = 0$
75834	Solve the Differential Equation	(dy)/(dx)=12-y	$\frac{d y}{d x} = 12 - y$
75835	Solve the Differential Equation	(x+1)(dy)/(dx)=y	$(x + 1) \frac{d y}{d x} = y$
75836	Solve the Differential Equation	xy^3 xdx-2dy=0 의 자연로그	$x y^{3} \ln (x d x) - 2 d y = 0$
75837	Solve the Differential Equation	y''''=4xy^2	$y'' = 4 x y^{2}$
75838	Solve the Differential Equation	3x^2(yd)x+(y^4-x^3)dy=0	$3 x^{2} yd x + (y^{4} - x^{3}) d y = 0$
75839	Solve the Differential Equation	y''''+2y=3x	$y'' + 2 y = 3 x$
75840	Solve the Differential Equation	ye^ydy=-(x^2+1)/xdx	$y e^{y} d y = - \frac{x^{2} + 1}{x} d x$
75841	Solve the Differential Equation	x(yd)x+(1+x^2)dy=0	$x yd x + (1 + x^{2}) d y = 0$
75842	Solve the Differential Equation	(dx)/(dt)=5/x	$\frac{d x}{d t} = \frac{5}{x}$
75843	Solve the Differential Equation	자연로그 \|x\|=xyy''''	$\ln (\| x \|) = x y y''$
75844	Solve the Differential Equation	y''''''''-(1+x)y=0	$y'''' - (1 + x) y = 0$
75845	Solve the Differential Equation	(dy)/(dx)=(8y^3)/((2x-2)^2)	$\frac{d y}{d x} = \frac{8 y^{3}}{{(2 x - 2)}^{2}}$
75846	Solve the Differential Equation	(dy)/(dx)=8xy^2	$\frac{d y}{d x} = 8 x y^{2}$
75847	Solve the Differential Equation	y''''+y/3=y^4e^x	$y'' + \frac{y}{3} = y^{4} e^{x}$
75848	Solve the Differential Equation	(du)/(dt)=(1+u)(5+t)	$\frac{d u}{d t} = (1 + u) (5 + t)$
75849	Solve the Differential Equation	(dy)/(dx)+y=2x	$\frac{d y}{d x} + y = 2 x$
75850	Solve the Differential Equation	(x^3y+8y)dx+(y+1)dy=0	$(x^{3} y + 8 y) d x + (y + 1) d y = 0$
75851	Solve the Differential Equation	y''''+5y=20	$y'' + 5 y = 20$
75852	Solve the Differential Equation	(dy)/(dx)=sin(2x+pi) , y(0)=2	$\frac{d y}{d x} = \sin (2 x + π)$ , $y (0) = 2$
75853	Solve the Differential Equation	(dy)/(dt)=16t^3	$\frac{d y}{d t} = 16 t^{3}$
75854	Solve the Differential Equation	(dy)/(dx)=5^x 5+1/(x^2+1) 의 자연로그	$\frac{d y}{d x} = 5^{x} \ln (5) + \frac{1}{x^{2} + 1}$
75855	Solve the Differential Equation	2x(dy)/(dx)-y=0	$2 x \frac{d y}{d x} - y = 0$
75856	Solve the Differential Equation	(dy)/(dx)+xy=6x y 의 제곱근	$\frac{d y}{d x} + x y = 6 x \sqrt{y}$
75857	Solve the Differential Equation	2x(yd)y=(x^2-y^2)dx	$2 x yd y = (x^{2} - y^{2}) d x$
75858	Solve the Differential Equation	(dy)/(dx)=y(8x^2+1)	$\frac{d y}{d x} = y (8 x^{2} + 1)$
75859	Solve the Differential Equation	x(dy)/(dx)+xy+y=e^(-x)	$x \frac{d y}{d x} + x y + y = e^{- x}$
75860	Solve the Differential Equation	y''''''''''''+8y=0	$y'''''' + 8 y = 0$
75861	Solve the Differential Equation	(x+2y-1)dx-(x+2y-5)dy=0	$(x + 2 y - 1) d x - (x + 2 y - 5) d y = 0$
75862	Solve the Differential Equation	f(x)=(x^3-8)/(x^2-4x-5)	$f (x) = \frac{x^{3} - 8}{x^{2} - 4 x - 5}$
75863	Solve the Differential Equation	(2x-5y+12)dx+(7x-4y+15)dy=0	$(2 x - 5 y + 12) d x + (7 x - 4 y + 15) d y = 0$
75864	Solve the Differential Equation	y''''=2^(x-y)	$y'' = 2^{x - y}$
75865	Solve the Differential Equation	y''''''''+4y''''+20y=0	$y'''' + 4 y'' + 20 y = 0$
75866	Solve the Differential Equation	(x^2-9)dy+x(yd)x=0	$(x^{2} - 9) d y + x yd x = 0$
75867	Solve the Differential Equation	(1-x)y''''''''+y=0	$(1 - x) y'''' + y = 0$
75868	Solve the Differential Equation	xy''''-y=xe^(y/x)	$x y'' - y = x e^{\frac{y}{x}}$
75869	Solve the Differential Equation	(dy)/(dx)-8xy-16x=0	$\frac{d y}{d x} - 8 x y - 16 x = 0$
75870	Solve the Differential Equation	(d^3y)/(dx^3)-4(d^2y)/(dx^2)+(dy)/(dx)+6y=0	$\frac{d^{3} y}{d x^{3}} - 4 \frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} + 6 y = 0$
75871	Solve the Differential Equation	(dy)/(dx)=9x^(2/3)	$\frac{d y}{d x} = 9 x^{\frac{2}{3}}$
75872	Solve the Differential Equation	(dy)/(dx)=e^(2x-3y)	$\frac{d y}{d x} = e^{2 x - 3 y}$
75873	Solve the Differential Equation	(dx)/(dt)=8/x	$\frac{d x}{d t} = \frac{8}{x}$
75874	Solve the Differential Equation	(dy)/(dx)=3(y-1)(y-2)	$\frac{d y}{d x} = 3 (y - 1) (y - 2)$
75875	Solve the Differential Equation	(dy)/(dx)=x/(x^2+1)	$\frac{d y}{d x} = \frac{x}{x^{2} + 1}$
75876	Solve the Differential Equation	(dy)/(dx)+ycos(x)=sin(2x)	$\frac{d y}{d x} + y \cos (x) = \sin (2 x)$
75877	Solve the Differential Equation	(dy)/(dx)=2y-xy	$\frac{d y}{d x} = 2 y - x y$
75878	Solve the Differential Equation	y''''=e^(2x-3y)	$y'' = e^{2 x - 3 y}$
75879	Solve the Differential Equation	(dy)/(dx)=(x-3)/y	$\frac{d y}{d x} = \frac{x - 3}{y}$
75880	Solve the Differential Equation	(dy)/(dx)+y/x-xy^2=0	$\frac{d y}{d x} + \frac{y}{x} - x y^{2} = 0$
75881	Solve the Differential Equation	(dy)/(dx)+5y=3e^(-2x)	$\frac{d y}{d x} + 5 y = 3 e^{- 2 x}$
75882	Solve the Differential Equation	(dy)/(dt)=-10y	$\frac{d y}{d t} = - 10 y$
75883	Solve the Differential Equation	(dy)/(dx)=-0.2y , y(0)=80	$\frac{d y}{d x} = - 0.2 y$ , $y (0) = 80$
75884	Solve the Differential Equation	(d^10y)/(dx^10)=2^10*y	$\frac{d^{10} y}{d x^{10}} = 2^{10} \cdot y$
75885	Solve the Differential Equation	y''''=0.3y	$y'' = 0.3 y$
75886	Solve the Differential Equation	(dr)/(dtheta)=4pi	$\frac{d r}{d θ} = 4 π$
75887	Solve the Differential Equation	(dy)/(dx)=2x-3y	$\frac{d y}{d x} = 2 x - 3 y$
75888	Solve the Differential Equation	(ye^(xy)-2y^3)dx+(xe^(xy)-6xy^2-2y)dy=0	$(y e^{x y} - 2 y^{3}) d x + (x e^{x y} - 6 x y^{2} - 2 y) d y = 0$
75889	Solve the Differential Equation	(dy)/(dx)-y=-x	$\frac{d y}{d x} - y = - x$
75890	Solve the Differential Equation	(dy)/(dx)=-7xy^3	$\frac{d y}{d x} = - 7 x y^{3}$
75891	Solve the Differential Equation	(y^2+xy^2)dx+(x^2-yx^2)dy=0	$(y^{2} + x y^{2}) d x + (x^{2} - y x^{2}) d y = 0$
75892	Solve the Differential Equation	y''''-6y=0	$y'' - 6 y = 0$
75893	Solve the Differential Equation	(x+2y^2)dx+(xy)dy=0	$(x + 2 y^{2}) d x + (x y) d y = 0$
75894	Solve the Differential Equation	y''''=(x^3+y^3)/(xy^2)	$y'' = \frac{x^{3} + y^{3}}{x y^{2}}$
75895	Solve the Differential Equation	(dy)/(dx)=yx^3+ysin(x)+ye^(x^2)	$\frac{d y}{d x} = y x^{3} + y \sin (x) + y e^{x^{2}}$
75896	Solve the Differential Equation	(dy)/(dx)=9x^2-4x	$\frac{d y}{d x} = 9 x^{2} - 4 x$
75897	Solve the Differential Equation	(dy)/(dx)=xcos(5x^2) , y(0)=8	$\frac{d y}{d x} = x \cos (5 x^{2})$ , $y (0) = 8$
75898	Solve the Differential Equation	(d^2y)/(dx^2)+6y=0	$\frac{d^{2} y}{d x^{2}} + 6 y = 0$
75899	Solve the Differential Equation	(dr)/(dtheta)=csc(7theta)^2cot(7theta) , r(pi/4)=3	$\frac{d r}{d θ} = \csc^{2} (7 θ) \cot (7 θ)$ , $r (\frac{π}{4}) = 3$
75900	Solve the Differential Equation	(dy)/(dx)=-2y , y(2)=3	$\frac{d y}{d x} = - 2 y$ , $y (2) = 3$