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인기 문제

순위	주제	문제	형식화된 문제
74101	Solve the Differential Equation	(y+1)dx-(1-x)dy=0	$(y + 1) d x - (1 - x) d y = 0$
74102	Solve the Differential Equation	y''''+2y''''+2y=0	$y'' + 2 y'' + 2 y = 0$
74103	Solve the Differential Equation	(dy)/(dx)=x/y , y(0)=-8	$\frac{d y}{d x} = \frac{x}{y}$ , $y (0) = - 8$
74104	Solve the Differential Equation	(dy)/(dx)=1/(y^2)	$\frac{d y}{d x} = \frac{1}{y^{2}}$
74105	Solve the Differential Equation	(dy)/(dx)=(6(1+3y))/((1+2x)^2)	$\frac{d y}{d x} = \frac{6 (1 + 3 y)}{{(1 + 2 x)}^{2}}$
74106	Solve the Differential Equation	x^2y''''''''+xy''''+y=0	$x^{2} y'''' + x y'' + y = 0$
74107	Solve the Differential Equation	(x-8)dx-dy=0	$(x - 8) d x - d y = 0$
74108	Solve the Differential Equation	(dy)/y=2xdx	$\frac{d y}{y} = 2 x d x$
74109	Solve the Differential Equation	xy''''=y+2x^3	$x y'' = y + 2 x^{3}$
74110	Solve the Differential Equation	(dy)/(dx)=1/3x(y-2)^2	$\frac{d y}{d x} = \frac{1}{3} x {(y - 2)}^{2}$
74111	Solve the Differential Equation	(x^2+y^2)dx+(x^2+xy)dy=0	$(x^{2} + y^{2}) d x + (x^{2} + x y) d y = 0$
74112	Solve the Differential Equation	(y+x^3+xy^2)dx-xdy=0	$(y + x^{3} + x y^{2}) d x - x d y = 0$
74113	Solve the Differential Equation	(-3x+2)(dy)/(dx)=y	$(- 3 x + 2) \frac{d y}{d x} = y$
74114	Solve the Differential Equation	x(2y-3)dx+(x^2+1)dy=0	$x (2 y - 3) d x + (x^{2} + 1) d y = 0$
74115	Solve the Differential Equation	제곱근 x(dy)/(dx)=e^(6y+ 제곱근 x)	$\sqrt{x} \frac{d y}{d x} = e^{6 y + \sqrt{x}}$
74116	Solve the Differential Equation	y''''''''+2y''''-3y=1	$y'''' + 2 y'' - 3 y = 1$
74117	Solve the Differential Equation	(3x-2y+1)dx+(-2x+y+2)dy=0	$(3 x - 2 y + 1) d x + (- 2 x + y + 2) d y = 0$
74118	Solve the Differential Equation	(dy)/(dx)=2x^3y	$\frac{d y}{d x} = 2 x^{3} y$
74119	Solve the Differential Equation	y''''=sin(x+y)	$y'' = \sin (x + y)$
74120	Solve the Differential Equation	y''''=3x+xy	$y'' = 3 x + x y$
74121	Solve the Differential Equation	(d^2y)/(dx^2)-2(dy)/(dx)+5y=0	$\frac{d^{2} y}{d x^{2}} - 2 \frac{d y}{d x} + 5 y = 0$
74122	Solve the Differential Equation	(dr)/(ds)=0.75s	$\frac{d r}{d s} = 0.75 s$
74123	Solve the Differential Equation	y''''=x y 의 제곱근	$y'' = x \sqrt{y}$
74124	Solve the Differential Equation	y''''-3y''''-4y=30e^x	$y'' - 3 y'' - 4 y = 30 e^{x}$
74125	Solve the Differential Equation	(d^2x)/(dt^2)+k^2x=0	$\frac{d^{2} x}{d t^{2}} + k^{2} x = 0$
74126	Solve the Differential Equation	xsin(y/x)(dy)/(dx)=ysin(y/x)+x	$x \sin (\frac{y}{x}) \frac{d y}{d x} = y \sin (\frac{y}{x}) + x$
74127	Solve the Differential Equation	(1-x^2)(dy)/(dx)-xy=1	$(1 - x^{2}) \frac{d y}{d x} - x y = 1$
74128	Solve the Differential Equation	(dy)/(dx)=(8x)/(e^y)	$\frac{d y}{d x} = \frac{8 x}{e^{y}}$
74129	Solve the Differential Equation	s(t)=-5t^4	$s (t) = - 5 t^{4}$
74130	Solve the Differential Equation	(dy)/(dx)=15e^(13x-y)	$\frac{d y}{d x} = 15 e^{13 x - y}$
74131	Solve the Differential Equation	(dy)/(dx)=y(1+y)	$\frac{d y}{d x} = y (1 + y)$
74132	Solve the Differential Equation	x^2dy+(2xy-x+1)dx=0	$x^{2} d y + (2 x y - x + 1) d x = 0$
74133	Solve the Differential Equation	y((du)/(dx))-x(du)/(dy)=0	$y \cdot (\frac{d u}{d x}) - x \cdot \frac{d u}{d y} = 0$
74134	Solve the Differential Equation	x(dy)/(dx)-2x^2y=e^(x^2)	$x \frac{d y}{d x} - 2 x^{2} y = e^{x^{2}}$
74135	Solve the Differential Equation	(dy)/(dx)-y/x=x^4	$\frac{d y}{d x} - \frac{y}{x} = x^{4}$
74136	Solve the Differential Equation	(dy)/(dx)-2/xy=0	$\frac{d y}{d x} - \frac{2}{x} y = 0$
74137	Solve the Differential Equation	(du)/(dt)=9+9u+t+tu	$\frac{d u}{d t} = 9 + 9 u + t + t u$
74138	Solve the Differential Equation	(dy)/(dx)+6y=14e^x	$\frac{d y}{d x} + 6 y = 14 e^{x}$
74139	Solve the Differential Equation	(dy)/(dx)-y=y^2e^(-x)	$\frac{d y}{d x} - y = y^{2} e^{- x}$
74140	Solve the Differential Equation	(dy)/(dx)=x-y^2	$\frac{d y}{d x} = x - y^{2}$
74141	Solve the Differential Equation	(dy)/(dx)=csc(x) , y(1)=-6	$\frac{d y}{d x} = \csc (x)$ , $y (1) = - 6$
74142	Solve the Differential Equation	2 xy(dy)/(dx)=5 의 제곱근	$2 \sqrt{x y} \frac{d y}{d x} = 5$
74143	Solve the Differential Equation	(sin(y)-3x^2+5)dx+(y+xcos(y))dy=0	$(\sin (y) - 3 x^{2} + 5) d x + (y + x \cos (y)) d y = 0$
74144	Solve the Differential Equation	(d^3y)/(dx^3)+6(d^2y)/(dx^2)+11(dy)/(dx)+6=0	$\frac{d^{3} y}{d x^{3}} + 6 \frac{d^{2} y}{d x^{2}} + 11 \frac{d y}{d x} + 6 = 0$
74145	Solve the Differential Equation	2x^2+2xyy''''=x^2+y^2	$2 x^{2} + 2 x y y'' = x^{2} + y^{2}$
74146	Solve the Differential Equation	(12xy^2-20y)dx+(8x^2y-10x)dy=0	$(12 x y^{2} - 20 y) d x + (8 x^{2} y - 10 x) d y = 0$
74147	Solve the Differential Equation	(dy)/(dx)=y-19	$\frac{d y}{d x} = y - 19$
74148	Solve the Differential Equation	(dy)/(dx)=(xy)/(x^2-y^2)	$\frac{d y}{d x} = \frac{x y}{x^{2} - y^{2}}$
74149	Solve the Differential Equation	ydx+(x^2y-x)dy=0	$yd x + (x^{2} y - x) d y = 0$
74150	Solve the Differential Equation	(dy)/(dx)=4x^3-3x^2+x , y(1)=0	$\frac{d y}{d x} = 4 \cdot x^{3} - 3 \cdot x^{2} + x$ , $y (1) = 0$
74151	Solve the Differential Equation	y''''+y/(x^2)=1/(x^2)	$y'' + \frac{y}{x^{2}} = \frac{1}{x^{2}}$
74152	Solve the Differential Equation	(dy)/(dx)=x/y , y(0)=-1	$\frac{d y}{d x} = \frac{x}{y}$ , $y (0) = - 1$
74153	Solve the Differential Equation	(1+y)dx=(1-x)dy	$(1 + y) d x = (1 - x) d y$
74154	Solve the Differential Equation	(dy)/(dx)=1/2x+y-1	$\frac{d y}{d x} = \frac{1}{2} x + y - 1$
74155	Solve the Differential Equation	y''''-3y''''+7y=6x^2+10x-20	$y'' - 3 y'' + 7 y = 6 x^{2} + 10 x - 20$
74156	Solve the Differential Equation	y''''+y^2=0	$y'' + y^{2} = 0$
74157	Solve the Differential Equation	y''''''''=-2y	$y'''' = - 2 y$
74158	Solve the Differential Equation	ydx=(x+ y^2-x^2)dy 의 제곱근	$yd x = (x + \sqrt{y^{2} - x^{2}}) d y$
74159	Solve the Differential Equation	y''''+1/2y=0	$y'' + \frac{1}{2} y = 0$
74160	Solve the Differential Equation	(dy)/(dx)=1-5/3x^(2/3)	$\frac{d y}{d x} = 1 - \frac{5}{3} x^{\frac{2}{3}}$
74161	Solve the Differential Equation	y''''-2y=1	$y'' - 2 y = 1$
74162	Solve the Differential Equation	y''''''''-4y=4x-e^(3x)	$y'''' - 4 y = 4 x - e^{3 x}$
74163	Solve the Differential Equation	(x+y)dx+(3x+3y-4)dy=0	$(x + y) d x + (3 x + 3 y - 4) d y = 0$
74164	Solve the Differential Equation	(dy)/(dx)=ytan(x)	$\frac{d y}{d x} = y \tan (x)$
74165	Solve the Differential Equation	y''''''''-y=1/x	$y'''' - y = \frac{1}{x}$
74166	Solve the Differential Equation	(dT)/(dt)=k(t-50)	$\frac{d T}{d t} = k (t - 50)$
74167	Solve the Differential Equation	(dy)/(dx)=1+y+x^2+yx^2	$\frac{d y}{d x} = 1 + y + x^{2} + y x^{2}$
74168	Solve the Differential Equation	(dy)/(dx)=x(5-y)	$\frac{d y}{d x} = x (5 - y)$
74169	Solve the Differential Equation	2xdx+dy=0	$2 x d x + d y = 0$
74170	Solve the Differential Equation	ydx=(ye^y-2x)dy	$yd x = (y e^{y} - 2 x) d y$
74171	Solve the Differential Equation	(dy)/(dx)=(y-1)^2e^(x-1)	$\frac{d y}{d x} = {(y - 1)}^{2} e^{x - 1}$
74172	Solve the Differential Equation	y''''=(y-x-2)/(y-x+7)	$y'' = \frac{y - x - 2}{y - x + 7}$
74173	Solve the Differential Equation	(dy)/(dx)=(28x)/(e^y)	$\frac{d y}{d x} = \frac{28 x}{e^{y}}$
74174	Solve the Differential Equation	(dy)/(dx)=(x^2+1)/y	$\frac{d y}{d x} = \frac{(x^{2} + 1)}{y}$
74175	Solve the Differential Equation	(6+x^2)y''''-2xy=0	$(6 + x^{2}) y'' - 2 x y = 0$
74176	Solve the Differential Equation	2(s+t)ds-s(s+2t-2)dt=0	$2 (s + t) d s - s (s + 2 t - 2) d t = 0$
74177	Solve the Differential Equation	(dy)/(dx) = square root of 2x-4y+3	$\frac{d y}{d x} = \sqrt{2 x - 4 y + 3}$
74178	Solve the Differential Equation	(dr)/(dp)=6sin(p)	$\frac{d r}{d p} = 6 \sin (p)$
74179	Solve the Differential Equation	(dy)/(dx)=y-12	$\frac{d y}{d x} = y - 12$
74180	Solve the Differential Equation	dy+ydx=2xy^2e^xdx	$d y + yd x = 2 x y^{2} e^{x} d x$
74181	Solve the Differential Equation	(dy)/(dx)-x/y=0	$\frac{d y}{d x} - \frac{x}{y} = 0$
74182	Solve the Differential Equation	2xy(dy)/(dx)+y^2=2x^2	$2 x y \frac{d y}{d x} + y^{2} = 2 x^{2}$
74183	Solve the Differential Equation	(dy)/(dx)=x^3-x^2+2x , y(2)=0	$\frac{d y}{d x} = x^{3} - x^{2} + 2 x$ , $y (2) = 0$
74184	Solve the Differential Equation	(dy)/(dx)+ytan(x)=sin(x)	$\frac{d y}{d x} + y \tan (x) = \sin (x)$
74185	Solve the Differential Equation	(dy)/(dx)=e^(-x^2)	$\frac{d y}{d x} = e^{- x^{2}}$
74186	Solve the Differential Equation	y''''''''+4y''''+7y=0	$y'''' + 4 y'' + 7 y = 0$
74187	Solve the Differential Equation	x^3(dy)/(dx)=6/y	$x^{3} \frac{d y}{d x} = \frac{6}{y}$
74188	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=12	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 12$
74189	Solve the Differential Equation	(dy)/(dx)=(x^2+1)/(e^y)	$\frac{d y}{d x} = \frac{x^{2} + 1}{e^{y}}$
74190	Solve the Differential Equation	(dy)/(dx)+y/x=x^3	$\frac{d y}{d x} + \frac{y}{x} = x^{3}$
74191	Solve the Differential Equation	(dy)/(dx)+2/xy=3	$\frac{d y}{d x} + \frac{2}{x} y = 3$
74192	Solve the Differential Equation	(1-x)dy=y^2dx	$(1 - x) d y = y^{2} d x$
74193	Solve the Differential Equation	(dy)/(dx)=2ye^x	$\frac{d y}{d x} = 2 y e^{x}$
74194	Solve the Differential Equation	(dy)/(dx)=x x-6 의 제곱근	$\frac{d y}{d x} = x \sqrt{x - 6}$
74195	Solve the Differential Equation	ydy=xdx	$yd y = x d x$
74196	Solve the Differential Equation	2y''''''''+y''''-y=x+1	$2 y'''' + y'' - y = x + 1$
74197	Solve the Differential Equation	(dx)/(dy)=(x/y)^2+2(x/y)	$\frac{d x}{d y} = {(\frac{x}{y})}^{2} + 2 (\frac{x}{y})$
74198	Solve the Differential Equation	(xy^2+x)dx+(y+x^2y)dy=0	$(x y^{2} + x) d x + (y + x^{2} y) d y = 0$
74199	Solve the Differential Equation	ydx+(x+2xy^2-2y)dy=0	$yd x + (x + 2 x y^{2} - 2 y) d y = 0$
74200	Solve the Differential Equation	y(x^2y^2+2)dx+x(2-2x^2y^2)dy=0	$y (x^{2} y^{2} + 2) d x + x (2 - 2 x^{2} y^{2}) d y = 0$