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인기 문제

순위	주제	문제	형식화된 문제
75601	Solve the Differential Equation	y^2=(1-x)(dy)/(dx)	$y^{2} = (1 - x) \frac{d y}{d x}$
75602	Solve the Differential Equation	y''''=y^2sin(t)	$y'' = y^{2} \sin (t)$
75603	Solve the Differential Equation	(dy)/(dx)=1/( x) , f(4)=1 의 제곱근	$\frac{d y}{d x} = \frac{1}{\sqrt{x}}$ , $f (4) = 1$
75604	Solve the Differential Equation	y''''=y^3	$y'' = y^{3}$
75605	Solve the Differential Equation	(dy)/(dx)=6/(1+x) , y(0)=1	$\frac{d y}{d x} = \frac{6}{1 + x}$ , $y (0) = 1$
75606	Solve the Differential Equation	y(dy)/(dx)+y^(3/2)=1 의 제곱근	$\sqrt{y} \frac{d y}{d x} + y^{\frac{3}{2}} = 1$
75607	Solve the Differential Equation	(dz)/(dt)=-7e^(t+z)	$\frac{d z}{d t} = - 7 e^{t + z}$
75608	Solve the Differential Equation	x^2y''''+xy=e^xy^4	$x^{2} y'' + x y = e^{x} y^{4}$
75609	Solve the Differential Equation	(du)/(dt)=e^(6u+6t)	$\frac{d u}{d t} = e^{6 u + 6 t}$
75610	Solve the Differential Equation	y-x(dy)/(dx)=x^3	$y - x \frac{d y}{d x} = x^{3}$
75611	Solve the Differential Equation	(dy)/(dt)=2/3y	$\frac{d y}{d t} = \frac{2}{3} y$
75612	Solve the Differential Equation	(dF)/(dx)=5x+4e^x , F(0)=8	$\frac{d F}{d x} = 5 x + 4 e^{x}$ , $F (0) = 8$
75613	Solve the Differential Equation	(y-x^3)dx+(x+y^3)dy=0	$(y - x^{3}) d x + (x + y^{3}) d y = 0$
75614	Solve the Differential Equation	(dy)/(dx)=-1/(x^3)	$\frac{d y}{d x} = - \frac{1}{x^{3}}$
75615	Solve the Differential Equation	(xy^2+y)dx+(x^2y+x)dy=0	$(x y^{2} + y) d x + (x^{2} y + x) d y = 0$
75616	Solve the Differential Equation	y''''=(x+1)/y	$y'' = \frac{x + 1}{y}$
75617	Solve the Differential Equation	(dr)/(dtheta)=-picos(pitheta) , r(1)=3	$\frac{d r}{d θ} = - π \cos (π θ)$ , $r (1) = 3$
75618	Solve the Differential Equation	y''''=(x^2+y^2)/(2x^2)	$y'' = \frac{x^{2} + y^{2}}{2 x^{2}}$
75619	Solve the Differential Equation	(dP)/(dt)=0.025P(1-(1/70)P)	$\frac{d P}{d t} = 0.025 P (1 - (\frac{1}{70}) P)$
75620	Solve the Differential Equation	y''''=2x+1	$y'' = 2 x + 1$
75621	Solve the Differential Equation	(ds)/(dt)=12t(3t^2-1)^3 , s(1)=1	$\frac{d s}{d t} = 12 t {(3 t^{2} - 1)}^{3}$ , $s (1) = 1$
75622	Solve the Differential Equation	(dy)/(dt)+4y=7 , y(0)=1	$\frac{d y}{d t} + 4 y = 7$ , $y (0) = 1$
75623	Solve the Differential Equation	(x^3+y^3)dy-x^2(yd)x=0	$(x^{3} + y^{3}) d y - x^{2} yd x = 0$
75624	Solve the Differential Equation	y*y''''-2=0	$y \cdot y'' - 2 = 0$
75625	Solve the Differential Equation	x^2y''''=(x+1)y	$x^{2} y'' = (x + 1) y$
75626	Solve the Differential Equation	x(x+2y)dy+(4xy+3y^2-x)dx=0	$x (x + 2 y) d y + (4 x y + 3 y^{2} - x) d x = 0$
75627	Solve the Differential Equation	2xyy''''=1+y^2	$2 x y y'' = 1 + y^{2}$
75628	Solve the Differential Equation	(dy)/(dx)=1+1/x , y(1)=5	$\frac{d y}{d x} = 1 + \frac{1}{x}$ , $y (1) = 5$
75629	Solve the Differential Equation	7x-6y x^2+1(dy)/(dx)=0 의 제곱근	$7 x - 6 y \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$
75630	Solve the Differential Equation	(dy)/(dx)=6x^2-10x	$\frac{d y}{d x} = 6 x^{2} - 10 x$
75631	Solve the Differential Equation	(df)/(dx)=cos(1/5x)	$\frac{d f}{d x} = \cos (\frac{1}{5} x)$
75632	Solve the Differential Equation	(dy)/(dt)=1/2t	$\frac{d y}{d t} = \frac{1}{2} t$
75633	Solve the Differential Equation	(dy)/(dx)=4x-5 and y(3)=0	$\frac{d y}{d x} = 4 x - 5$ and $y (3) = 0$
75634	Solve the Differential Equation	(dy)/(dt)=e^t(y-1)^2	$\frac{d y}{d t} = e^{t} {(y - 1)}^{2}$
75635	Solve the Differential Equation	(dy)/(dx)=3y^(2/3)	$\frac{d y}{d x} = 3 y^{\frac{2}{3}}$
75636	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3 , s(1)=4	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$ , $s (1) = 4$
75637	Solve the Differential Equation	(dy)/(dx)+(2y)/x=x^3	$\frac{d y}{d x} + \frac{2 y}{x} = x^{3}$
75638	Solve the Differential Equation	xy''''=(x+1)y	$x y'' = (x + 1) y$
75639	Solve the Differential Equation	xy''''=(x-2y)	$x y'' = (x - 2 y)$
75640	Solve the Differential Equation	(dy)/(dx)=x^2 , y(0)=9	$\frac{d y}{d x} = x^{2}$ , $y (0) = 9$
75641	Solve the Differential Equation	(dz)/(dt)=te^z	$\frac{d z}{d t} = t e^{z}$
75642	Solve the Differential Equation	x(yd)x-(x^2+2y^2)dy=0	$x yd x - (x^{2} + 2 y^{2}) d y = 0$
75643	Solve the Differential Equation	(dy)/(dx)=(1+x)/(xy)	$\frac{d y}{d x} = \frac{1 + x}{x y}$
75644	Solve the Differential Equation	xdy+2(yd)x=0	$x d y + 2 yd x = 0$
75645	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=6	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 6$
75646	Solve the Differential Equation	y''''=e^x 1-y^2 의 제곱근	$y'' = e^{x} \sqrt{1 - y^{2}}$
75647	Solve the Differential Equation	(dy)/(dx)=x^5 , y(0)=9	$\frac{d y}{d x} = x^{5}$ , $y (0) = 9$
75648	Solve the Differential Equation	y''''''''+y=4x+10sin(x)	$y'''' + y = 4 x + 10 \sin (x)$
75649	Solve the Differential Equation	f(x) = square root of x+6	$f (x) = \sqrt{x + 6}$
75650	Solve the Differential Equation	((2+x)dy)/(dx)=3y	$\frac{(2 + x) d y}{d x} = 3 y$
75651	Solve the Differential Equation	4xy(dy)/(dx)=y^2-1	$4 x y \frac{d y}{d x} = y^{2} - 1$
75652	Solve the Differential Equation	y''''-2y=3e^t	$y'' - 2 y = 3 e^{t}$
75653	Solve the Differential Equation	x(yd)x-(x+2y)^2dy=0	$x yd x - {(x + 2 y)}^{2} d y = 0$
75654	Solve the Differential Equation	(dy)/(dx)+3y=9	$\frac{d y}{d x} + 3 y = 9$
75655	Solve the Differential Equation	y''''''''+y=sin(x)^2	$y'''' + y = \sin^{2} (x)$
75656	Solve the Differential Equation	y''''+xe^(-(x^2)/2)=0	$y'' + x e^{- \frac{x^{2}}{2}} = 0$
75657	Solve the Differential Equation	(dy)/(dx)+y=12e^(2x)y^2	$\frac{d y}{d x} + y = 12 e^{2 x} y^{2}$
75658	Solve the Differential Equation	(2x+y-4)dx+(x-3y+12)dy=0	$(2 x + y - 4) d x + (x - 3 y + 12) d y = 0$
75659	Solve the Differential Equation	e^(x+2y)(dy)/(dx)+1=0	$e^{x + 2 y} \frac{d y}{d x} + 1 = 0$
75660	Solve the Differential Equation	f(x)=sin(1/2x)	$f (x) = \sin (\frac{1}{2} x)$
75661	Solve the Differential Equation	(x-1)(dy)/(dx)+xy=(x-1)e^(-x)	$(x - 1) \frac{d y}{d x} + x y = (x - 1) e^{- x}$
75662	Solve the Differential Equation	2(7)(72)+2(24)(dy)/(dt)=0	$2 (7) (72) + 2 (24) \frac{d y}{d t} = 0$
75663	Solve the Differential Equation	(dy)/(dt)=24t^3	$\frac{d y}{d t} = 24 t^{3}$
75664	Solve the Differential Equation	(dy)/(dx)=4x^2y-9xy	$\frac{d y}{d x} = 4 x^{2} y - 9 x y$
75665	Solve the Differential Equation	(dy)/(dx)-3x^2y=x^2	$\frac{d y}{d x} - 3 x^{2} y = x^{2}$
75666	Solve the Differential Equation	(2x+xy)dx+ydy=0	$(2 x + x y) d x + yd y = 0$
75667	Solve the Differential Equation	(d^4y)/(dx^4)-4(d^3y)/(dx^3)+14(d^2y)/(dx^2)-20(dy)/(dx)+25y=0	$\frac{d^{4} y}{d x^{4}} - 4 \frac{d^{3} y}{d x^{3}} + 14 \frac{d^{2} y}{d x^{2}} - 20 \frac{d y}{d x} + 25 y = 0$
75668	Solve the Differential Equation	y''''=x-y^2	$y'' = x - y^{2}$
75669	Solve the Differential Equation	(dA)/(dt)=0.08A	$\frac{d A}{d t} = 0.08 A$
75670	Solve the Differential Equation	(dy)/(dx)=6x^5y	$\frac{d y}{d x} = 6 x^{5} y$
75671	Solve the Differential Equation	y''''=2y+x^2	$y'' = 2 y + x^{2}$
75672	Solve the Differential Equation	(dy)/(dx)=2y	$\frac{(d y)}{d x} = 2 y$
75673	Solve the Differential Equation	(dy)/(dt)=2e^(2t)sin(e^(2t)-4) , y( 2)=0 의 자연로그	$\frac{d y}{d t} = 2 e^{2 t} \sin (e^{2 t} - 4)$ , $y (\ln (2)) = 0$
75674	Solve the Differential Equation	y''''=e^(2x)	$y'' = e^{2 x}$
75675	Solve the Differential Equation	xy''''=x^2+3y	$x y'' = x^{2} + 3 y$
75676	Solve the Differential Equation	y-x(dy)/(dx)=5x^3	$y - x \frac{d y}{d x} = 5 x^{3}$
75677	Solve the Differential Equation	xdy-(yd)x=ydy	$x d y - yd x = yd y$
75678	Solve the Differential Equation	(dy)/(dx)=(8x^2)/( 7+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{8 x^{2}}{\sqrt{7 + x^{3}}}$
75679	Solve the Differential Equation	(dy)/y=((9y-8x)dx)/(2x(x-3y))	$\frac{d y}{y} = \frac{(9 y - 8 x) d x}{2 x (x - 3 y)}$
75680	Solve the Differential Equation	(dx)/(dt)=2.5(100-x)	$\frac{d x}{d t} = 2.5 (100 - x)$
75681	Solve the Differential Equation	제곱근 1-y^2dx+x 자연로그 xdy=0	$\sqrt{1 - y^{2}} d x + x \ln (x d y) = 0$
75682	Solve the Differential Equation	ydx+(3+3x-y)dy=0	$yd x + (3 + 3 x - y) d y = 0$
75683	Solve the Differential Equation	(1-x^2y)dx+x^2(y-x)dy=0	$(1 - x^{2} y) d x + x^{2} (y - x) d y = 0$
75684	Solve the Differential Equation	y''''=2x(y^2+1)	$y'' = 2 x (y^{2} + 1)$
75685	Solve the Differential Equation	(x^2y+x)dy=(y-y^2x)dx	$(x^{2} y + x) \cdot d y = (y - y^{2} x) \cdot d x$
75686	Solve the Differential Equation	2(yd)x+x(2+x^2y)dy=0	$2 yd x + x (2 + x^{2} y) d y = 0$
75687	Solve the Differential Equation	(dy)/(dx)=(2x)/(x^2-9)	$\frac{d y}{d x} = \frac{2 x}{x^{2} - 9}$
75688	Solve the Differential Equation	y''''+xy=x y 의 제곱근	$y'' + x y = x \sqrt{y}$
75689	Solve the Differential Equation	f(x)=3x^2+4x	$f (x) = 3 x^{2} + 4 x$
75690	Solve the Differential Equation	(dy)/(dx)=(4x^2)/( 8+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{4 x^{2}}{\sqrt{8 + x^{3}}}$
75691	Solve the Differential Equation	(dy)/(dx)=3y(-7-y)	$\frac{d y}{d x} = 3 y (- 7 - y)$
75692	Solve the Differential Equation	7(dy)/(dtheta)=(e^ysin(theta)^2)/(ysec(theta))	$7 \frac{d y}{d θ} = \frac{e^{y} \sin^{2} (θ)}{y \sec (θ)}$
75693	Solve the Differential Equation	y''''''''+4y''''-2y=2x^2-3x+6	$y'''' + 4 y'' - 2 y = 2 x^{2} - 3 x + 6$
75694	Solve the Differential Equation	(dy)/(dx)=xe^(-2y)	$\frac{d y}{d x} = x e^{- 2 y}$
75695	Solve the Differential Equation	yy''''-x=0	$y y'' - x = 0$
75696	Solve the Differential Equation	y''''=x^2y^2	$y'' = x^{2} y^{2}$
75697	Solve the Differential Equation	f(x)=(x^3+2x)e^x	$f (x) = (x^{3} + 2 x) e^{x}$
75698	Solve the Differential Equation	dx+2x(dy)/y=2x^2y^2dy	$d x + 2 x \frac{d y}{y} = 2 x^{2} y^{2} d y$
75699	Solve the Differential Equation	(dy)/(dx)=2x+3y-1	$\frac{d y}{d x} = 2 x + 3 y - 1$
75700	Solve the Differential Equation	y''''=(x+y)/x	$y'' = \frac{x + y}{x}$