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인기 문제

순위	주제	문제	형식화된 문제
74701	Solve the Differential Equation	(dy)/(dx)=(2xy-y^2)/(x^2)	$\frac{d y}{d x} = \frac{2 x y - y^{2}}{x^{2}}$
74702	Solve the Differential Equation	(dy)/(dx)-(2y)/x=x^2e^x	$\frac{d y}{d x} - \frac{2 y}{x} = x^{2} e^{x}$
74703	Solve the Differential Equation	(x+4y)dx+(4x-y)dy=0	$(x + 4 y) d x + (4 x - y) d y = 0$
74704	Solve the Differential Equation	f(x)=x^9 x 의 자연로그	$f (x) = x^{9} \ln (x)$
74705	Solve the Differential Equation	y''''(x)=-y+2	$y'' (x) = - y + 2$
74706	Solve the Differential Equation	(dy)/(dx)=((3x^3+2x^2+5)y)/(x(4y^3+3y))	$\frac{d y}{d x} = \frac{(3 x^{3} + 2 x^{2} + 5) y}{x (4 y^{3} + 3 y)}$
74707	Solve the Differential Equation	x(dy)/(dx)-y=x^3+3x^2-2x	$x \frac{d y}{d x} - y = x^{3} + 3 x^{2} - 2 x$
74708	Solve the Differential Equation	x(dy)/(dx)+y = square root of x	$x \frac{d y}{d x} + y = \sqrt{x}$
74709	Solve the Differential Equation	g''''(x)=(3x)/(4g(x))	$g'' (x) = \frac{3 x}{4 g (x)}$
74710	Solve the Differential Equation	ydx+(2x-ye^y)dy=0	$yd x + (2 x - y e^{y}) d y = 0$
74711	Solve the Differential Equation	y''''=y/x+x/y	$y'' = \frac{y}{x} + \frac{x}{y}$
74712	Solve the Differential Equation	xy''''=2y^2+y	$x y'' = 2 y^{2} + y$
74713	Solve the Differential Equation	y''''=2x+y	$y'' = 2 x + y$
74714	Solve the Differential Equation	y^2dy=x^5dx	$y^{2} d y = x^{5} d x$
74715	Solve the Differential Equation	(dy)/(dx)=(x+y)/x	$\frac{d y}{d x} = \frac{(x + y)}{x}$
74716	Solve the Differential Equation	(dr)/(ds)=0.3r	$\frac{d r}{d s} = 0.3 r$
74717	Solve the Differential Equation	y''''=1-y^2	$y'' = 1 - y^{2}$
74718	Solve the Differential Equation	(dy)/(dx)=x^4y	$\frac{d y}{d x} = x^{4} y$
74719	Solve the Differential Equation	(dy)/(dx)=(x+3)/(y-3)	$\frac{d y}{d x} = \frac{x + 3}{y - 3}$
74720	Solve the Differential Equation	2xy+6x+(x^2-4)(dy)/(dx)=0	$2 x y + 6 x + (x^{2} - 4) \frac{d y}{d x} = 0$
74721	Solve the Differential Equation	y''''''''+4y=sin(2x)	$y'''' + 4 y = \sin (2 x)$
74722	Solve the Differential Equation	x(dy)/(dx)-(x+1)y=0	$x \frac{d y}{d x} - (x + 1) y = 0$
74723	Solve the Differential Equation	(dy)/(dx) = cube root of x	$\frac{d y}{d x} = \sqrt[3]{x}$
74724	Solve the Differential Equation	xy''''+y=xy^8	$x y'' + y = x y^{8}$
74725	Solve the Differential Equation	(dy)/(dx) = square root of xy	$\frac{d y}{d x} = \sqrt{x} y$
74726	Solve the Differential Equation	(dr)/(dtheta)=-pisin(pitheta) , r(1)=3	$\frac{d r}{d θ} = - π \sin (π θ)$ , $r (1) = 3$
74727	Solve the Differential Equation	4(dy)/(dtheta)=(e^ysin(theta)^2)/(ysec(theta))	$4 \frac{d y}{d θ} = \frac{e^{y} \sin^{2} (θ)}{y \sec (θ)}$
74728	Solve the Differential Equation	f(x) = square root of x+1	$f (x) = \sqrt{x + 1}$
74729	Solve the Differential Equation	(ds)/(dt)=cos(t)-sin(t) , s(pi/2)=5	$\frac{d s}{d t} = \cos (t) - \sin (t)$ , $s (\frac{π}{2}) = 5$
74730	Solve the Differential Equation	(dy)/(dx)=3/(1+x^2)+4sin(x)+1	$\frac{d y}{d x} = \frac{3}{1 + x^{2}} + 4 \sin (x) + 1$
74731	Solve the Differential Equation	y''''=y/(1+x^2)	$y'' = \frac{y}{1 + x^{2}}$
74732	Solve the Differential Equation	e^(-2y)(dy)/(dx)-sin(x)=0	$e^{- 2 y} \frac{d y}{d x} - \sin (x) = 0$
74733	Solve the Differential Equation	(dy)/(dx)=1/(2y+1)	$\frac{d y}{d x} = \frac{1}{2 y + 1}$
74734	Solve the Differential Equation	y''''+(2x-4)y=0	$y'' + (2 x - 4) y = 0$
74735	Solve the Differential Equation	xy''''-y=x^2e^x	$x y'' - y = x^{2} e^{x}$
74736	Solve the Differential Equation	(dr)/(dtheta)=-picos(pitheta) , r(2)=3	$\frac{d r}{d θ} = - π \cos (π θ)$ , $r (2) = 3$
74737	Solve the Differential Equation	3y''''''''+y''''=0	$3 y'''' + y'' = 0$
74738	Solve the Differential Equation	(dA)/(dt)=3A	$\frac{d A}{d t} = 3 A$
74739	Solve the Differential Equation	x^2-y^2=xyy''''	$x^{2} - y^{2} = x y y''$
74740	Solve the Differential Equation	(dy)/(dx)=y^3	$\frac{d y}{d x} = y^{3}$
74741	Solve the Differential Equation	(x+y)(dx-dy)=dx+dy	$(x + y) (d x - d y) = d x + d y$
74742	Solve the Differential Equation	(dy)/(dx)=10 y 의 제곱근	$\frac{d y}{d x} = 10 \sqrt{y}$
74743	Solve the Differential Equation	y''''''''+x^2y''''-xy=0	$y'''' + x^{2} y'' - x y = 0$
74744	Solve the Differential Equation	(dy)/(dx)=(x^3)/(3+y^3)	$\frac{d y}{d x} = \frac{x^{3}}{3 + y^{3}}$
74745	Solve the Differential Equation	y''''''''+4y=4x	$y'''' + 4 y = 4 x$
74746	Solve the Differential Equation	(1)(dy)/(dx)+x^2y=xe^x	$(1) \frac{d y}{d x} + x^{2} y = x e^{x}$
74747	Solve the Differential Equation	(dy)/(dx)=4x+6	$\frac{d y}{d x} = 4 x + 6$
74748	Solve the Differential Equation	(4xy+y^2)dx-2(x^2-y)dy=0	$(4 x y + y^{2}) d x - 2 (x^{2} - y) d y = 0$
74749	Solve the Differential Equation	(x^2+2xy)dx+x(yd)y=0	$(x^{2} + 2 x y) d x + x yd y = 0$
74750	Solve the Differential Equation	2(dy)/(dx)-6xy-3x=0	$2 \frac{d y}{d x} - 6 x y - 3 x = 0$
74751	Solve the Differential Equation	e^ydy-(1+e^y)dx=0	$e^{y} d y - (1 + e^{y}) d x = 0$
74752	Solve the Differential Equation	(dy)/(dx)-y/x=-(y^2)/x	$\frac{d y}{d x} - \frac{y}{x} = - \frac{y^{2}}{x}$
74753	Solve the Differential Equation	(x+2y)dx-xdy=0	$(x + 2 y) d x - x d y = 0$
74754	Solve the Differential Equation	2(24)(7)+2(7)(dy)/(dt)=0	$2 (24) (7) + 2 (7) \frac{d y}{d t} = 0$
74755	Solve the Differential Equation	(dx)/(dy)=(x(x^2-y^2))/(y(x-y)^2)	$\frac{d x}{d y} = \frac{x (x^{2} - y^{2})}{y {(x - y)}^{2}}$
74756	Solve the Differential Equation	(dy)/(dx)=(e^(2x+y))/(e^(x-y))	$\frac{d y}{d x} = \frac{e^{2 x + y}}{e^{x - y}}$
74757	Solve the Differential Equation	(d^2y)/(dx^2)+5((dy)/(dx))^3-4y=e^x	$\frac{d^{2} y}{d x^{2}} + 5 {(\frac{d y}{d x})}^{3} - 4 y = e^{x}$
74758	Solve the Differential Equation	(dy)/(dx)=10-2y+9x	$\frac{d y}{d x} = 10 - 2 y + 9 x$
74759	Solve the Differential Equation	9y(dy)/(dx)=2x^2	$9 y \frac{d y}{d x} = 2 x^{2}$
74760	Solve the Differential Equation	(dy)/(dx)=7xy^(1/2)	$\frac{d y}{d x} = 7 x y^{\frac{1}{2}}$
74761	Solve the Differential Equation	(dy)/(dx)=(9x+y)^2	$\frac{d y}{d x} = {(9 x + y)}^{2}$
74762	Solve the Differential Equation	xy''''+2y=x^2-x+1	$x y'' + 2 y = x^{2} - x + 1$
74763	Solve the Differential Equation	(dy)/(dx)=y/(2 x) 의 제곱근	$\frac{d y}{d x} = \frac{y}{2 \sqrt{x}}$
74764	Solve the Differential Equation	(dy)/(dx)=-6x^2y	$\frac{d y}{d x} = - 6 x^{2} y$
74765	Solve the Differential Equation	(d^2y)/(dx^2)+5(dy)/(dx)+6y=10cos(x)	$\frac{d^{2} y}{d x^{2}} + 5 \frac{d y}{d x} + 6 y = 10 \cos (x)$
74766	Solve the Differential Equation	xy''''-y=x^2sin(x)	$x y'' - y = x^{2} \sin (x)$
74767	Solve the Differential Equation	x(dy)/(dx)-3y+2=0	$x \frac{d y}{d x} - 3 y + 2 = 0$
74768	Solve the Differential Equation	(dy)/(dx)=xy+5x	$\frac{d y}{d x} = x y + 5 x$
74769	Solve the Differential Equation	(dx)/(dt)=x^2t	$\frac{d x}{d t} = x^{2} t$
74770	Solve the Differential Equation	(dy)/(dx)=x*y^2	$\frac{d y}{d x} = x \cdot y^{2}$
74771	Solve the Differential Equation	y''''=4x	$y'' = 4 x$
74772	Solve the Differential Equation	x(dy)/(dx)-2y=0	$x \frac{d y}{d x} - 2 y = 0$
74773	Solve the Differential Equation	(dy)/(dx)+3y=6e^(5x)	$\frac{d y}{d x} + 3 y = 6 e^{5 x}$
74774	Solve the Differential Equation	(ds)/(dt)=22t^2+7t-3	$\frac{d s}{d t} = 22 t^{2} + 7 t - 3$
74775	Solve the Differential Equation	(dy)/(dx)=y/(1+x^2)	$\frac{d y}{d x} = \frac{y}{1 + x^{2}}$
74776	Solve the Differential Equation	(d^2y)/(dx^2)-4((dy)/(dx))^2+4y=0	$\frac{d^{2} y}{d x^{2}} - 4 {(\frac{d y}{d x})}^{2} + 4 y = 0$
74777	Solve the Differential Equation	(dv)/(dt)=9/(1+t^2)+sec(t)^2 , v(0)=1	$\frac{d v}{d t} = \frac{9}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 1$
74778	Solve the Differential Equation	(dr)/(dtheta)+rtan(theta)=sec(theta)	$\frac{d r}{d θ} + r \tan (θ) = \sec (θ)$
74779	Solve the Differential Equation	(xy'''')^2=x^2+2xy+y^2	${(x y'')}^{2} = x^{2} + 2 x y + y^{2}$
74780	Solve the Differential Equation	xy(dy)/(dx)=x^2+1	$x y \frac{d y}{d x} = x^{2} + 1$
74781	Solve the Differential Equation	y''''=1/y	$y'' = \frac{1}{y}$
74782	Solve the Differential Equation	(3dy)/(dx)+12y=4	$\frac{3 d y}{d x} + 12 y = 4$
74783	Solve the Differential Equation	(x+y)dx+(y-x)dy=0	$(x + y) d x + (y - x) d y = 0$
74784	Solve the Differential Equation	(3y+4xy^2)dx+(2x+3x^2y)dy=0	$(3 y + 4 x y^{2}) d x + (2 x + 3 x^{2} y) d y = 0$
74785	Solve the Differential Equation	(dy)/(dx)=x^2y+x^2	$\frac{d y}{d x} = x^{2} y + x^{2}$
74786	Solve the Differential Equation	(1+x)(dy)/(dx)+y=1+x	$(1 + x) \frac{d y}{d x} + y = 1 + x$
74787	Solve the Differential Equation	y''''-5y''''+y=0	$y'' - 5 y'' + y = 0$
74788	Solve the Differential Equation	(dx)/(dt)=t^2	$\frac{d x}{d t} = t^{2}$
74789	Solve the Differential Equation	t t(dr)/(dt)+r=5te^t 의 자연로그	$t \ln (t) \frac{d r}{d t} + r = 5 t e^{t}$
74790	Solve the Differential Equation	(dy)/(dx)=cos(x+y)+sin(y+x)	$\frac{d y}{d x} = \cos (x + y) + \sin (y + x)$
74791	Solve the Differential Equation	(dy)/(dx)=2x+3 y(1)=2	$\frac{d y}{d x} = 2 x + 3$ $y (1) = 2$
74792	Solve the Differential Equation	(y^2+3)dx+(2xy-4)dy=0	$(y^{2} + 3) d x + (2 x y - 4) d y = 0$
74793	Solve the Differential Equation	y''''''''+y''''-2y=2x	$y'''' + y'' - 2 y = 2 x$
74794	Solve the Differential Equation	x^2+y''''+y=0	$x^{2} + y'' + y = 0$
74795	Solve the Differential Equation	(dy)/(dt)=(t^2)/(y^2)	$\frac{d y}{d t} = \frac{t^{2}}{y^{2}}$
74796	Solve the Differential Equation	x(2y+1)dy+2(y^2+y+2x^2)dx=0	$x (2 y + 1) d y + 2 (y^{2} + y + 2 x^{2}) d x = 0$
74797	Solve the Differential Equation	xy(dy)/(dx)=1-x^2	$x y \frac{d y}{d x} = 1 - x^{2}$
74798	Solve the Differential Equation	(2xy-50x+14y-350)dx+(6xy-10x-150y+250)dy=0	$(2 x y - 50 x + 14 y - 350) d x + (6 x y - 10 x - 150 y + 250) d y = 0$
74799	Solve the Differential Equation	(dy)/(dx)=-1/(e^(3x))	$\frac{d y}{d x} = - \frac{1}{e^{3 x}}$
74800	Solve the Differential Equation	(dy)/(dt)=2 t , y(1)=9 의 제곱근	$\frac{d y}{d t} = 2 \sqrt{t}$ , $y (1) = 9$