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인기 문제

순위	주제	문제	형식화된 문제
76901	Solve the Differential Equation	(dy)/(dx)=x(y^2+1)	$\frac{d y}{d x} = x (y^{2} + 1)$
76902	Solve the Differential Equation	y''''''''+y''''-y=0	$y'''' + y'' - y = 0$
76903	Solve the Differential Equation	(2x-y-1)dx+(x+2y-3)dy=0	$(2 x - y - 1) d x + (x + 2 y - 3) d y = 0$
76904	Solve the Differential Equation	y=(3y^3+x)(dy)/(dx)	$y = (3 y^{3} + x) \frac{d y}{d x}$
76905	Solve the Differential Equation	(1+sin(x)^2)(dy)/(dx)=e^(-2y)sin(2x) , y(0)=1	$(1 + \sin^{2} (x)) \frac{d y}{d x} = e^{- 2 y} \sin (2 x)$ , $y (0) = 1$
76906	Solve the Differential Equation	2xy(dy)/(dx)=x^2+3y^2	$2 x y \frac{d y}{d x} = x^{2} + 3 y^{2}$
76907	Solve the Differential Equation	y''''-y=2	$y'' - y = 2$
76908	Solve the Differential Equation	(dy)/(dx)=5x^2y	$\frac{d y}{d x} = 5 x^{2} y$
76909	Solve the Differential Equation	x(dy)/(dx)-y=1/(x^2)	$x \frac{d y}{d x} - y = \frac{1}{x^{2}}$
76910	Solve the Differential Equation	y''''''''''''-y''''''''-2y''''=0	$y'''''' - y'''' - 2 y'' = 0$
76911	Solve the Differential Equation	2x(yd)x+(x^2-y^2)dy=0	$2 x yd x + (x^{2} - y^{2}) d y = 0$
76912	Solve the Differential Equation	(dy)/(dx)=(y-5)/(5x)	$\frac{d y}{d x} = \frac{y - 5}{5 x}$
76913	Solve the Differential Equation	(dy)/(dx)=(11x^2)/( 5+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{11 x^{2}}{\sqrt{5 + x^{3}}}$
76914	Solve the Differential Equation	2xdx+6dy=0	$2 x d x + 6 d y = 0$
76915	Solve the Differential Equation	(dy)/(cos(4x))=(dx)/(y^2)	$\frac{d y}{\cos (4 x)} = \frac{d x}{y^{2}}$
76916	Solve the Differential Equation	(x^2+1)(dy)/(dx)+4xy=x ; , y(2)=1	$(x^{2} + 1) \frac{d y}{d x} + 4 x y = x$ ; , $y (2) = 1$
76917	Solve the Differential Equation	(dy)/(dx)=9-y	$\frac{d y}{d x} = 9 - y$
76918	Solve the Differential Equation	(dy)/(dx)=4x+3/x	$\frac{d y}{d x} = 4 x + \frac{3}{x}$
76919	Solve the Differential Equation	(dy)/(dx)=2(2x-y)	$\frac{d y}{d x} = 2 (2 x - y)$
76920	Solve the Differential Equation	x(d^2y)/(dx^2)+(dy)/(dx)=0	$x \frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} = 0$
76921	Solve the Differential Equation	(dy)/(dx)=sin(2x+pi) , y(0)=6	$\frac{d y}{d x} = \sin (2 x + π)$ , $y (0) = 6$
76922	Solve the Differential Equation	(dy)/(dx)=6x^2-4x+20	$\frac{d y}{d x} = 6 x^{2} - 4 x + 20$
76923	Solve the Differential Equation	(dM)/(dt)+M/37.5=4	$\frac{d M}{d t} + \frac{M}{37.5} = 4$
76924	Solve the Differential Equation	(dy)/(dx)=(-5x)/y	$\frac{d y}{d x} = \frac{- 5 x}{y}$
76925	Solve the Differential Equation	(dy)/(dx)=2/(x+2y)	$\frac{d y}{d x} = \frac{2}{x + 2 y}$
76926	Solve the Differential Equation	2xy''''=y^2	$2 x y'' = y^{2}$
76927	Solve the Differential Equation	(dy)/(dx)=(x^3)/(y^2) , y(2) = cube root of 15	$\frac{d y}{d x} = \frac{x^{3}}{y^{2}}$ , $y (2) = \sqrt[3]{15}$
76928	Solve the Differential Equation	y''''''''+2y''''=2x+5-e^(-2x)	$y'''' + 2 y'' = 2 x + 5 - e^{- 2 x}$
76929	Solve the Differential Equation	(dy)/(dx)=y(2-y)	$\frac{d y}{d x} = y (2 - y)$
76930	Solve the Differential Equation	(dy)/(dx)=(y^2+1)/(x^2-1)	$\frac{d y}{d x} = \frac{y^{2} + 1}{x^{2} - 1}$
76931	Solve the Differential Equation	(dr)/(ds)=3r^2	$\frac{d r}{d s} = 3 r^{2}$
76932	Solve the Differential Equation	x^4y''''-2xy+x=0	$x^{4} y'' - 2 x y + x = 0$
76933	Solve the Differential Equation	f(x)=x^2+2x-1	$f (x) = x^{2} + 2 x - 1$
76934	Solve the Differential Equation	(dr)/(dtheta)=(r^2+2rtheta)/(theta^2)	$\frac{d r}{d θ} = \frac{r^{2} + 2 r θ}{θ^{2}}$
76935	Solve the Differential Equation	(3x+2y+7)dx+(2x-y)dy=0	$(3 x + 2 y + 7) d x + (2 x - y) d y = 0$
76936	Solve the Differential Equation	(dy)/(dt)=(t+ty)/(1+t^2)	$\frac{d y}{d t} = \frac{t + t y}{1 + t^{2}}$
76937	Solve the Differential Equation	2(dy)/(dx)+y/x=x	$2 \frac{d y}{d x} + \frac{y}{x} = x$
76938	Solve the Differential Equation	xy''''-2y=2x^2 y 의 제곱근	$x y'' - 2 y = 2 x^{2} \sqrt{y}$
76939	Solve the Differential Equation	4y''''''''-7y''''+3y=0	$4 y'''' - 7 y'' + 3 y = 0$
76940	Solve the Differential Equation	f(x)=6x^3-9x+4	$f (x) = 6 x^{3} - 9 x + 4$
76941	Solve the Differential Equation	(ds)/(dt)+(2s)/t=s^3t^4	$\frac{d s}{d t} + \frac{2 s}{t} = s^{3} t^{4}$
76942	Solve the Differential Equation	xy''''-3y=8x^3 x 의 자연로그	$x y'' - 3 y = 8 x^{3} \ln (x)$
76943	Solve the Differential Equation	y''''=(xy+3x-y-3)/(xy-2x+4y-8)	$y'' = \frac{x y + 3 x - y - 3}{x y - 2 x + 4 y - 8}$
76944	Solve the Differential Equation	x^2y''''+y^2=xy	$x^{2} y'' + y^{2} = x y$
76945	Solve the Differential Equation	y''''''''+x^2y=0	$y'''' + x^{2} y = 0$
76946	Solve the Differential Equation	(dy)/(dx)=(11x^2)/( 4+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{11 x^{2}}{\sqrt{4 + x^{3}}}$
76947	Solve the Differential Equation	3x^2dx+cos(ydy)=0	$3 x^{2} d x + \cos (yd y) = 0$
76948	Solve the Differential Equation	(dy)/(dx)=5 yx 의 제곱근	$\frac{d y}{d x} = 5 \sqrt{y x}$
76949	Solve the Differential Equation	(y+sin(y))y''''=x+x^3	$(y + \sin (y)) y'' = x + x^{3}$
76950	Solve the Differential Equation	(dy)/(dx)=30-y	$\frac{d y}{d x} = 30 - y$
76951	Solve the Differential Equation	(x^2+1)dx=dy	$(x^{2} + 1) d x = d y$
76952	Solve the Differential Equation	xy''''-4x^2y+2y y=0 의 자연로그	$x y'' - 4 x^{2} y + 2 y \ln (y) = 0$
76953	Solve the Differential Equation	(dy)/(dx)=(7x)/(3y)	$\frac{d y}{d x} = \frac{7 x}{3 y}$
76954	Solve the Differential Equation	y''''-2/3y=x	$y'' - \frac{2}{3} y = x$
76955	Solve the Differential Equation	(dy)/(dx)=2y-6	$\frac{d y}{d x} = 2 y - 6$
76956	Solve the Differential Equation	(dy)/(dx)=2+2xy	$\frac{d y}{d x} = 2 + 2 x y$
76957	Solve the Differential Equation	(dy)/(dx)=(6x^5)/(4e^y)	$\frac{d y}{d x} = \frac{6 x^{5}}{4 e^{y}}$
76958	Solve the Differential Equation	4x-3y^2y''''=0	$4 x - 3 y^{2} y'' = 0$
76959	Solve the Differential Equation	y''''-e^(4x+3y)=0	$y'' - e^{4 x + 3 y} = 0$
76960	Solve the Differential Equation	(dy)/(dx)=(3y^2+4x^2)/(2xy)	$\frac{d y}{d x} = \frac{3 y^{2} + 4 x^{2}}{2 x y}$
76961	Solve the Differential Equation	(x^2-y)dx-xdy=0	$(x^{2} - y) d x - x d y = 0$
76962	Solve the Differential Equation	xdy+(y-x+xysin(x))dx=0	$x d y + (y - x + x y \sin (x)) d x = 0$
76963	Solve the Differential Equation	(dv)/(dt)=8t+csc(t)^2 , v(pi/2)=-7	$\frac{d v}{d t} = 8 t + \csc^{2} (t)$ , $v (\frac{π}{2}) = - 7$
76964	Solve the Differential Equation	(dy)/(dx)-xe^y=2e^y	$\frac{d y}{d x} - x e^{y} = 2 e^{y}$
76965	Solve the Differential Equation	(dy)/(dx)=y+xy	$\frac{d y}{d x} = y + x y$
76966	Solve the Differential Equation	ydx+x^3(yd)y-xdy=0	$yd x + x^{3} yd y - x d y = 0$
76967	Solve the Differential Equation	1/x(dy)/(dx)=2y	$\frac{1}{x} \cdot \frac{d y}{d x} = 2 y$
76968	Solve the Differential Equation	(dr)/(dtheta)=(r^2)/theta , r(1)=2	$\frac{d r}{d θ} = \frac{r^{2}}{θ}$ , $r (1) = 2$
76969	Solve the Differential Equation	(2x-1)dx=-(3y+7)dy	$(2 x - 1) d x = - (3 y + 7) d y$
76970	Solve the Differential Equation	x(yd)x+(y^2-x^2)dy=0	$x yd x + (y^{2} - x^{2}) d y = 0$
76971	Solve the Differential Equation	(x^2+2x+2)ycos(2y)(dy)/(dx)=2x+2	$(x^{2} + 2 x + 2) y \cos (2 y) \frac{d y}{d x} = 2 x + 2$
76972	Solve the Differential Equation	y''''=x^3-4x	$y'' = x^{3} - 4 x$
76973	Solve the Differential Equation	(dy)/(dx)+4y=7x+9	$\frac{d y}{d x} + 4 y = 7 x + 9$
76974	Solve the Differential Equation	(dy)/(dt)=-7y	$\frac{d y}{d t} = - 7 y$
76975	Solve the Differential Equation	x(dy)/(dx)+2xy-x^2=0	$x \frac{d y}{d x} + 2 x y - x^{2} = 0$
76976	Solve the Differential Equation	y''''=3sin(x)	$y'' = 3 \sin (x)$
76977	Solve the Differential Equation	xdx+1/ydy=0	$x d x + \frac{1}{y} d y = 0$
76978	Solve the Differential Equation	2ye^(2x)(x^2-y+x)dx+e^(2x)(x^2-2y)dy=0	$2 y e^{2 x} (x^{2} - y + x) d x + e^{2 x} (x^{2} - 2 y) d y = 0$
76979	Solve the Differential Equation	y''''''''''''-6y''''''''+2y''''+36y=0	$y'''''' - 6 y'''' + 2 y'' + 36 y = 0$
76980	Solve the Differential Equation	(d^2y)/(dx^2)-4(dy)/(dx)+7y=0	$\frac{d^{2} y}{d x^{2}} - 4 \frac{d y}{d x} + 7 y = 0$
76981	Solve the Differential Equation	x((dy)/(dx))+y=xy^3	$x (\frac{d y}{d x}) + y = x y^{3}$
76982	Solve the Differential Equation	y''''-2x=e^(-3x)	$y'' - 2 x = e^{- 3 x}$
76983	Solve the Differential Equation	(dy)/(dx)=6x^2+8x ; , y(3)=11	$\frac{d y}{d x} = 6 x^{2} + 8 x$ ; , $y (3) = 11$
76984	Solve the Differential Equation	x^2-(y^3+2)(dy)/(dx)=0	$x^{2} - (y^{3} + 2) \frac{d y}{d x} = 0$
76985	Solve the Differential Equation	(dy)/(dx)=(2x)/(1+2y)	$\frac{d y}{d x} = \frac{2 x}{1 + 2 y}$
76986	Solve the Differential Equation	(dy)/(dx)=-0.3y , y(0)=80	$\frac{d y}{d x} = - 0.3 y$ , $y (0) = 80$
76987	Solve the Differential Equation	e^t(dy)/(dt)=y^2 , y(0)=1/4	$e^{t} \frac{d y}{d t} = y^{2}$ , $y (0) = \frac{1}{4}$
76988	Solve the Differential Equation	(dy)/(dx)=-y/(x^2-4x)	$\frac{d y}{d x} = - \frac{y}{x^{2} - 4 x}$
76989	Solve the Differential Equation	x^2sin(xdx)+x(yd)y=0	$x^{2} \sin (x d x) + x yd y = 0$
76990	Solve the Differential Equation	((2y)/(x^3)-(x^2)/(y^2)+1/( y)dy)+((2x)/y-(3y^2)/(x^4))dx=0 의 제곱근	$(\frac{2 y}{x^{3}} - \frac{x^{2}}{y^{2}} + \frac{1}{\sqrt{y}} d y) + (\frac{2 x}{y} - \frac{3 y^{2}}{x^{4}}) d x = 0$
76991	Solve the Differential Equation	(dy)/(dx)=-(x^2+1)/(y y+1) 의 제곱근	$\frac{d y}{d x} = - \frac{x^{2} + 1}{y \sqrt{y + 1}}$
76992	Solve the Differential Equation	yy''''=x^2+3	$y y'' = x^{2} + 3$
76993	Solve the Differential Equation	2y''''=8y+2x	$2 y'' = 8 y + 2 x$
76994	Solve the Differential Equation	(dQ)/(du)=-24u^7	$\frac{d Q}{d u} = - 24 u^{7}$
76995	Solve the Differential Equation	(2x-3y-5)dx+(3x-y-2)dy=0	$(2 x - 3 y - 5) d x + (3 x - y - 2) d y = 0$
76996	Solve the Differential Equation	y''''+4y=12	$y'' + 4 y = 12$
76997	Solve the Differential Equation	y''''=(2x+3y)/x	$y'' = \frac{2 x + 3 y}{x}$
76998	Solve the Differential Equation	(dy)/(dx)=x+5y , y(0)=3	$\frac{d y}{d x} = x + 5 y$ , $y (0) = 3$
76999	Solve the Differential Equation	y''''=(3x^2)/(3y^2-4)	$y'' = \frac{3 x^{2}}{3 y^{2} - 4}$
77000	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=14	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 14$