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인기 문제

순위	주제	문제	형식화된 문제
73101	Solve the Differential Equation	(1+e^xy+xe^xy)dx+(xe^x+2)dy=0	$(1 + e^{x} y + x e^{x} y) d x + (x e^{x} + 2) d y = 0$
73102	Solve the Differential Equation	(dy)/(dx)=(x+1)/(y+1)	$\frac{d y}{d x} = \frac{x + 1}{y + 1}$
73103	Solve the Differential Equation	y(dx)/(dy)-2x=3y^2-2	$y \frac{d x}{d y} - 2 x = 3 y^{2} - 2$
73104	Solve the Differential Equation	y''''=8x-y	$y'' = 8 x - y$
73105	Solve the Differential Equation	7y(dy)/(dx)=4x^2	$7 y \frac{d y}{d x} = 4 x^{2}$
73106	Solve the Differential Equation	(dy)/(dx)=e^(4x-y)	$\frac{d y}{d x} = e^{4 x - y}$
73107	Solve the Differential Equation	(2xy^2+y)dx+(2y^3-x)dy=0	$(2 x y^{2} + y) d x + (2 y^{3} - x) d y = 0$
73108	Solve the Differential Equation	(dy)/(dx)=x^2y^4	$\frac{d y}{d x} = x^{2} y^{4}$
73109	Solve the Differential Equation	(x^2+y^2+x)dx+ydy=0	$(x^{2} + y^{2} + x) d x + yd y = 0$
73110	Solve the Differential Equation	(dy)/(dx)=y-18	$\frac{d y}{d x} = y - 18$
73111	Solve the Differential Equation	x(yd)x-x^2dy=y x^2+y^2dy 의 제곱근	$x yd x - x^{2} d y = y \sqrt{x^{2} + y^{2}} d y$
73112	Solve the Differential Equation	x^2y''''=y-xy	$x^{2} y'' = y - x y$
73113	Solve the Differential Equation	y''''''''+y=1	$y'''' + y = 1$
73114	Solve the Differential Equation	(dy)/(dx)-2/xy=x^2cos(x)	$\frac{d y}{d x} - \frac{2}{x} y = x^{2} \cos (x)$
73115	Solve the Differential Equation	y(x^3-y)dx-x(x^3+y)dy=0	$y (x^{3} - y) d x - x (x^{3} + y) d y = 0$
73116	Solve the Differential Equation	(1+x)^2(dy)/(dx)=(1+y)^2	${(1 + x)}^{2} \frac{d y}{d x} = {(1 + y)}^{2}$
73117	Solve the Differential Equation	ydy+3x^2ydx=0	$yd y + 3 x^{2} yd x = 0$
73118	Solve the Differential Equation	(dy)/(dx)=(xy^2)/( 1+x^2) 의 제곱근	$\frac{d y}{d x} = \frac{x y^{2}}{\sqrt{1 + x^{2}}}$
73119	Solve the Differential Equation	y''''-y=-x	$y'' - y = - x$
73120	Solve the Differential Equation	y''''+xy^2=0	$y'' + x y^{2} = 0$
73121	Solve the Differential Equation	2x(yd)x+(x^2+1)dy=0	$2 x yd x + (x^{2} + 1) d y = 0$
73122	Solve the Differential Equation	(dy)/(dx)=y-22	$\frac{d y}{d x} = y - 22$
73123	Solve the Differential Equation	e^xdx-(yd)y=0	$e^{x} d x - yd y = 0$
73124	Solve the Differential Equation	y^2dx+e^(3x)dy=0	$y^{2} d x + e^{3 x} d y = 0$
73125	Solve the Differential Equation	(dy)/(dx)=(4x)/(3y+1)	$\frac{d y}{d x} = \frac{4 x}{3 y + 1}$
73126	Solve the Differential Equation	y''''+x^2y=0	$y'' + x^{2} y = 0$
73127	Solve the Differential Equation	y''''+9x^2y=x^2	$y'' + 9 x^{2} y = x^{2}$
73128	Solve the Differential Equation	2(dy)/(dx)-18xy-9x=0	$2 \frac{d y}{d x} - 18 x y - 9 x = 0$
73129	Solve the Differential Equation	(dy)/(dx)=2x^(3/4)	$\frac{d y}{d x} = 2 x^{\frac{3}{4}}$
73130	Solve the Differential Equation	(4z+x^2z)dz+(1+z^2)dx-(yz^2+y)(4+x^2)dy=0	$(4 z + x^{2} z) d z + (1 + z^{2}) d x - (y z^{2} + y) (4 + x^{2}) d y = 0$
73131	Solve the Differential Equation	(dy)/(dx)=(6e^x)/(e^y)	$\frac{d y}{d x} = \frac{6 e^{x}}{e^{y}}$
73132	Solve the Differential Equation	2cos(x+y)-2xsin(x+y)-2xsin(x+y)y''''=0	$2 \cos (x + y) - 2 x \sin (x + y) - 2 x \sin (x + y) y'' = 0$
73133	Solve the Differential Equation	(dy)/(dx)=(12x)/(e^y)	$\frac{d y}{d x} = \frac{12 x}{e^{y}}$
73134	Solve the Differential Equation	y''''=cos(x)	$y'' = \cos (x)$
73135	Solve the Differential Equation	(x-2y+4)dx+(2x-y+2)dy=0	$(x - 2 y + 4) d x + (2 x - y + 2) d y = 0$
73136	Solve the Differential Equation	(dr)/(dtheta)=-pisin(pitheta) , r(2)=2	$\frac{d r}{d θ} = - π \sin (π θ)$ , $r (2) = 2$
73137	Solve the Differential Equation	(dy)/(dx)=2x y-1 의 제곱근	$\frac{d y}{d x} = 2 x \sqrt{y - 1}$ ?
73138	Solve the Differential Equation	(y^2+xy+x^2)dx-x^2dy=0	$(y^{2} + x y + x^{2}) d x - x^{2} d y = 0$
73139	Solve the Differential Equation	2x(yd)x+(1+x^2)dy=0	$2 x yd x + (1 + x^{2}) d y = 0$
73140	Solve the Differential Equation	(y^2-xy)dx+(x^2-xy)dy=0	$(y^{2} - x y) d x + (x^{2} - x y) d y = 0$
73141	Solve the Differential Equation	(dy)/(dx)=y-11	$\frac{d y}{d x} = y - 11$
73142	Solve the Differential Equation	a^2dx=x x^2a^2dy 의 제곱근	$a^{2} d x = x \sqrt{x^{2} a^{2}} d y$
73143	Solve the Differential Equation	ydx+(x^3y^2+x^3)dy=0	$yd x + (x^{3} y^{2} + x^{3}) d y = 0$
73144	Solve the Differential Equation	(dy)/(dx)=1/(1+sin(x))	$\frac{d y}{d x} = \frac{1}{1 + \sin (x)}$
73145	Solve the Differential Equation	(1+ye^(xy))dx+(2y+xe^(xy))dy=0	$(1 + y e^{x y}) d x + (2 y + x e^{x y}) d y = 0$
73146	Solve the Differential Equation	(dy)/(dx)+7y=11	$\frac{d y}{d x} + 7 y = 11$
73147	Solve the Differential Equation	(dy)/(dx)=9x^2y	$\frac{d y}{d x} = 9 x^{2} y$
73148	Solve the Differential Equation	(dy)/(dx)=x/(1+x^2)	$\frac{d y}{d x} = \frac{x}{1 + x^{2}}$
73149	Solve the Differential Equation	(dy)/(dx)=16x	$\frac{d y}{d x} = 16 x$
73150	Solve the Differential Equation	(x+y)dx+xdx=0	$(x + y) d x + x d x = 0$
73151	Solve the Differential Equation	y(x-1)dy-x(y-1)dx=0	$y (x - 1) d y - x (y - 1) d x = 0$
73152	Solve the Differential Equation	(xy+2x+y+2)dx+(x^2+2x)dy=0	$(x y + 2 x + y + 2) d x + (x^{2} + 2 x) d y = 0$
73153	Solve the Differential Equation	2xy(dy)/(dx)=y^2-2x^3	$2 x y \frac{d y}{d x} = y^{2} - 2 x^{3}$
73154	Solve the Differential Equation	(dy)/(dx)=x^2y-xy+3y	$\frac{d y}{d x} = x^{2} y - x y + 3 y$
73155	Solve the Differential Equation	y''''''''''''''''-y=0	$y'''''''' - y = 0$
73156	Solve the Differential Equation	(dy)/(dx)=2xsec(y)	$\frac{d y}{d x} = 2 x \sec (y)$
73157	Solve the Differential Equation	(y^2+xy^3)dx+(5y^2-xy+y^3sin(y))dy=0	$(y^{2} + x y^{3}) d x + (5 y^{2} - x y + y^{3} \sin (y)) d y = 0$
73158	Solve the Differential Equation	y''''''''=2	$y'''' = 2$
73159	Solve the Differential Equation	dy=x^2dx	$d y = x^{2} d x$
73160	Solve the Differential Equation	(dy)/(dx)=4x^3y^2	$\frac{d y}{d x} = 4 x^{3} y^{2}$
73161	Solve the Differential Equation	(2y^2+3x)dx+2x(yd)y=0	$(2 y^{2} + 3 x) d x + 2 x yd y = 0$
73162	Verify the Differential Equation Solution	(dy)/(dx)-y=1 , y=e^x-1	$\frac{d y}{d x} - y = 1$ , $y = e^{x} - 1$
73163	Solve the Differential Equation	xy''''+4y-x^4y^2=0	$x y'' + 4 y - x^{4} y^{2} = 0$
73164	Solve the Differential Equation	y''''=x^2+y^2	$y'' = x^{2} + y^{2}$
73165	Solve the Differential Equation	y''''-y/x=x	$y'' - \frac{y}{x} = x$
73166	Solve the Differential Equation	(2x^2y+2y+5)dx+(2x^3+2x)dy=0	$(2 x^{2} y + 2 y + 5) d x + (2 x^{3} + 2 x) d y = 0$
73167	Solve the Differential Equation	1-8x^2y''''=x 의 제곱근	$\sqrt{1 - 8 x^{2}} y'' = x$
73168	Solve the Differential Equation	z''''-2/xz=2/3x^4	$z'' - \frac{2}{x} z = \frac{2}{3} x^{4}$
73169	Solve the Differential Equation	(x+y)dx-(x-y)dy=0	$(x + y) d x - (x - y) d y = 0$
73170	Solve the Differential Equation	y''''=3x	$y'' = 3 x$
73171	Solve the Differential Equation	(dy)/(dx)=1/(1+x^2)	$\frac{d y}{d x} = \frac{1}{1 + x^{2}}$
73172	Solve the Differential Equation	(x+2y)dx+(2x-3y)dy=0	$(x + 2 y) d x + (2 x - 3 y) d y = 0$
73173	Solve the Differential Equation	(dy)/(dx)=4x^3-9x^2+x	$\frac{d y}{d x} = 4 x^{3} - 9 x^{2} + x$
73174	Solve the Differential Equation	(dy)/(dx)+ycos(x)=4cos(x)	$\frac{d y}{d x} + y \cos (x) = 4 \cos (x)$
73175	Solve the Differential Equation	y''''=e^(2x)+y-1	$y'' = e^{2 x} + y - 1$
73176	Solve the Differential Equation	(du)/(dt)=(2t+sec(t)^2)/(2u) , u(0)=-4	$\frac{d u}{d t} = \frac{2 t + \sec^{2} (t)}{2 u}$ , $u (0) = - 4$
73177	Solve the Differential Equation	y''''''''''''+y''''''''-2y=0	$y'''''' + y'''' - 2 y = 0$
73178	Solve the Differential Equation	(dy)/(dx)=2x^2y	$\frac{d y}{d x} = 2 x^{2} y$
73179	Solve the Differential Equation	(dy)/(dx)=22x	$\frac{d y}{d x} = 22 x$
73180	Solve the Differential Equation	(dy)/(dx)=sin(x) , y(0)=5	$\frac{d y}{d x} = \sin (x)$ , $y (0) = 5$
73181	Solve the Differential Equation	e^(5x-5y)dx-dy=0	$e^{5 x - 5 y} d x - d y = 0$
73182	Solve the Differential Equation	v(2uv^2-3)du+(3u^2v^2-3u+4v)dv=0	$v (2 u v^{2} - 3) d u + (3 u^{2} v^{2} - 3 u + 4 v) d v = 0$
73183	Solve the Differential Equation	y''''=3-1ycot(x)	$y'' = 3 - 1 y \cot (x)$
73184	Solve the Differential Equation	(dy)/(dx) = 제곱근 ycos( 제곱근 y)^2	$\frac{d y}{d x} = \sqrt{y} \cos^{2} (\sqrt{y})$
73185	Solve the Differential Equation	y''''=sin(x)	$y'' = \sin (x)$
73186	Solve the Differential Equation	y''''=3y^2-y^2sin(x)	$y'' = 3 y^{2} - y^{2} \sin (x)$
73187	Solve the Differential Equation	(dy)/(dx)=sec(y)^2	$\frac{d y}{d x} = \sec^{2} (y)$
73188	Solve the Differential Equation	y''''-y=5e^x	$y'' - y = 5 e^{x}$
73189	Solve the Differential Equation	4 xy(dy)/(dx)=3 의 제곱근	$4 \sqrt{x y} \frac{d y}{d x} = 3$
73190	Solve the Differential Equation	dy=2e^(3x)dx	$d y = 2 e^{3 x} d x$
73191	Solve the Differential Equation	yy''''+36x=0	$y y'' + 36 x = 0$
73192	Solve the Differential Equation	(dy)/(dx)=(2x)/(3y^2)	$\frac{d y}{d x} = \frac{2 x}{3 y^{2}}$
73193	Solve the Differential Equation	(dy)/(dx)=(10x)/y	$\frac{d y}{d x} = \frac{10 x}{y}$
73194	Solve the Differential Equation	y''''''''+3y''''+2y=6	$y'''' + 3 y'' + 2 y = 6$
73195	Solve the Differential Equation	(dy)/(dx) = square root of x-y	$\frac{d y}{d x} = \sqrt{x - y}$
73196	Solve the Differential Equation	2(dy)/(dx)=y/x-x/(y^2)	$2 \frac{d y}{d x} = \frac{y}{x} - \frac{x}{y^{2}}$
73197	Solve the Differential Equation	(dy)/(dx)=6e^(-2x)	$\frac{d y}{d x} = 6 e^{- 2 x}$
73198	Solve the Differential Equation	y(8x-9y)dx+2x(x-3y)dy=0	$y (8 x - 9 y) d x + 2 x (x - 3 y) d y = 0$
73199	Solve the Differential Equation	(dx)/(dt)=4/x	$\frac{d x}{d t} = \frac{4}{x}$
73200	Solve the Differential Equation	y''''-4y''''+4y=e^t	$y'' - 4 y'' + 4 y = e^{t}$