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인기 문제

순위	주제	문제	형식화된 문제
78201	Solve the Differential Equation	(dy)/(dx)+2/xy=0	$\frac{d y}{d x} + \frac{2}{x} y = 0$
78202	Solve the Differential Equation	(dy)/(dx)+ycot(x)=1	$\frac{d y}{d x} + y \cot (x) = 1$
78203	Solve the Differential Equation	(dP)/(dt)+P=10	$\frac{d P}{d t} + P = 10$
78204	Solve the Differential Equation	xyy''''=1+y^2	$x y y'' = 1 + y^{2}$
78205	Solve the Differential Equation	(dy)/(dx)-y=xe^x	$\frac{d y}{d x} - y = x e^{x}$
78206	Solve the Differential Equation	y''''=y+e^t	$y'' = y + e^{t}$
78207	Solve the Differential Equation	(dx)/(dt)=1+x^2	$\frac{d x}{d t} = 1 + x^{2}$
78208	Solve the Differential Equation	(dy)/(dx)=sin(x)cos(x)^2	$\frac{d y}{d x} = \sin (x) \cos^{2} (x)$
78209	Solve the Differential Equation	(dy)/(dx)=-1/(3 x) , y(4)=0 의 제곱근	$\frac{d y}{d x} = - \frac{1}{3 \sqrt{x}}$ , $y (4) = 0$
78210	Solve the Differential Equation	(dy)/(dx)+y-x^2-2x=0	$\frac{d y}{d x} + y - x^{2} - 2 x = 0$
78211	Solve the Differential Equation	y''''=(5x-y^2)/(2xy)	$y'' = \frac{5 x - y^{2}}{2 x y}$
78212	Solve the Differential Equation	(dy)/(dx)=(1+xe^x)/(y+ye^(y^2))	$\frac{d y}{d x} = \frac{1 + x e^{x}}{y + y e^{y^{2}}}$
78213	Solve the Differential Equation	21x-3y''''=0	$21 x - 3 y'' = 0$
78214	Solve the Differential Equation	(dy)/(dx)=x*y	$\frac{d y}{d x} = x \cdot y$
78215	Solve the Differential Equation	F(x)=(4x+1)^2	$F (x) = {(4 x + 1)}^{2}$
78216	Solve the Differential Equation	(dy)/(dx)=(4y^3)/(x^2)	$\frac{d y}{d x} = \frac{4 y^{3}}{x^{2}}$
78217	Solve the Differential Equation	4x(y'''')^2+2xy''''-y=0	$4 x {(y'')}^{2} + 2 x y'' - y = 0$
78218	Solve the Differential Equation	(dy)/(dx)=-24/((2x+1)^3)	$\frac{d y}{d x} = \frac{- 24}{{(2 x + 1)}^{3}}$
78219	Solve the Differential Equation	y''''+y=-x/y	$y'' + y = - \frac{x}{y}$
78220	Solve the Differential Equation	(x+1)(dy)/(dx)=x	$(x + 1) \frac{d y}{d x} = x$
78221	Solve the Differential Equation	2x^2y''''=x^2+y^2	$2 x^{2} y'' = x^{2} + y^{2}$
78222	Solve the Differential Equation	x 가 3 에 한없이 가까워질 때 극한 f(x)=7	$lim_{x \to 3} f (x) = 7$
78223	Solve the Differential Equation	(dy)/(dx)=3x^3 , y(0)=8	$\frac{d y}{d x} = 3 x^{3}$ , $y (0) = 8$
78224	Solve the Differential Equation	y''''''''-y''''=-3	$y'''' - y'' = - 3$
78225	Solve the Differential Equation	y''''''''+4y''''+3y=12	$y'''' + 4 y'' + 3 y = 12$
78226	Solve the Differential Equation	y''''+y=1/(1+e^x)	$y'' + y = \frac{1}{1 + e^{x}}$
78227	Solve the Differential Equation	x^6+16y(dy)/(dx)=0	$x^{6} + 16 y \frac{d y}{d x} = 0$
78228	Solve the Differential Equation	(dx)/(dt)=-4x	$\frac{d x}{d t} = - 4 x$
78229	Solve the Differential Equation	(y+4x-5)dx+(y+3x-4)dy=0	$(y + 4 x - 5) d x + (y + 3 x - 4) d y = 0$
78230	Solve the Differential Equation	(dw)/(dt)=1200-w	$\frac{d w}{d t} = 1200 - w$
78231	Solve the Differential Equation	(dy)/(dx)-y/x=xe^x , y(1)=e-1	$\frac{d y}{d x} - \frac{y}{x} = x e^{x}$ , $y (1) = e - 1$
78232	Solve the Differential Equation	y''''=1+y/t	$y'' = 1 + \frac{y}{t}$
78233	Solve the Differential Equation	(d^2y)/(dx^2)-2(dy)/(dx)+10y=0	$\frac{d^{2} y}{d x^{2}} - 2 \frac{d y}{d x} + 10 y = 0$
78234	Solve the Differential Equation	y''''+y''''-2y=x^2	$y'' + y'' - 2 y = x^{2}$
78235	Solve the Differential Equation	(dE)/(dt)=30-10t	$\frac{d E}{d t} = 30 - 10 t$
78236	Solve the Differential Equation	y''''-e^(x+y)=0	$y'' - e^{x + y} = 0$
78237	Solve the Differential Equation	(d^2y)/(dx^2)=1/x	$\frac{d^{2} y}{d x^{2}} = \frac{1}{x}$
78238	Solve the Differential Equation	x(dy)/(dx)+2y=(sin(x))/x , y(2)=1	$x \frac{d y}{d x} + 2 y = \frac{\sin (x)}{x}$ , $y (2) = 1$
78239	Solve the Differential Equation	(dy)/(dx)=8x-5 and y(7)=0	$\frac{d y}{d x} = 8 x - 5$ and $y (7) = 0$
78240	Solve the Differential Equation	xy''''+y=8xy^2	$x y'' + y = 8 x y^{2}$
78241	Solve the Differential Equation	(4+x^6)(dy)/(dx)=(x^5)/y	$(4 + x^{6}) \frac{d y}{d x} = \frac{x^{5}}{y}$
78242	Solve the Differential Equation	(dy)/(dx)=((1+x)/(1+y))^2	$\frac{d y}{d x} = {(\frac{1 + x}{1 + y})}^{2}$
78243	Solve the Differential Equation	y(x^4-y^2)dx+x(x^4+y^2)dy=0	$y (x^{4} - y^{2}) d x + x (x^{4} + y^{2}) d y = 0$
78244	Solve the Differential Equation	(y- x^2+y^2)dx-xdy=0 의 제곱근	$(y - \sqrt{x^{2} + y^{2}}) d x - x d y = 0$
78245	Solve the Differential Equation	y''''=(9x+4y+1)^2	$y'' = {(9 x + 4 y + 1)}^{2}$
78246	Solve the Differential Equation	(dy)/(dx)=(x+1)/(e^(3y+9))	$\frac{d y}{d x} = \frac{x + 1}{e^{3 y + 9}}$
78247	Solve the Differential Equation	(dy)/(dx)=(9x^8)/(3e^y)	$\frac{d y}{d x} = \frac{9 x^{8}}{3 e^{y}}$
78248	Solve the Differential Equation	y''''''''+9y=sin(3x)	$y'''' + 9 y = \sin (3 x)$
78249	Solve the Differential Equation	ydx+2xdy=0	$yd x + 2 x d y = 0$
78250	Solve the Differential Equation	2(12)(15)+2(5)(dy)/(dt)=0	$2 (12) (15) + 2 (5) \frac{d y}{d t} = 0$
78251	Solve the Differential Equation	(dy)/(dx)=-15x	$\frac{d y}{d x} = - 15 x$
78252	Solve the Differential Equation	y''''+2.5y=1.6x	$y'' + 2.5 y = 1.6 x$
78253	Solve the Differential Equation	y''''+y''''+5y=0	$y'' + y'' + 5 y = 0$
78254	Solve the Differential Equation	x(dy)/(dx)=(x-y)^2	$x \frac{d y}{d x} = {(x - y)}^{2}$
78255	Solve the Differential Equation	(dy)/(dx)=(x-1)/(y^2)	$\frac{d y}{d x} = \frac{x - 1}{y^{2}}$
78256	Solve the Differential Equation	(dy)/(dx)=e^(y+2x)	$\frac{d y}{d x} = e^{y + 2 x}$
78257	Solve the Differential Equation	y''''+3xy=xy^2	$y'' + 3 x y = x y^{2}$
78258	Solve the Differential Equation	(dy)/(dx)=(x+5)/(y-5)	$\frac{d y}{d x} = \frac{x + 5}{y - 5}$
78259	Solve the Differential Equation	(xy+y^2)y''''=y^2	$(x y + y^{2}) y'' = y^{2}$
78260	Solve the Differential Equation	(dL)/(dt)=1/6(dx)/(dt)	$\frac{dL}{d t} = \frac{1}{6} \cdot \frac{d x}{d t}$
78261	Solve the Differential Equation	2xsin(ydx)+x^2cos(ydy)=-y^3e^xdx-3y^2e^xdy	$2 x \sin (yd x) + x^{2} \cos (yd y) = - y^{3} e^{x} d x - 3 y^{2} e^{x} d y$
78262	Solve the Differential Equation	(dP)/(dt)=3P+a	$\frac{d P}{d t} = 3 P + a$
78263	Solve the Differential Equation	e^xy(dy)/(dx)=e^(-y)+e^(-4x-y)	$e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 4 x - y}$
78264	Solve the Differential Equation	yy''''=x^2+x	$y y'' = x^{2} + x$
78265	Solve the Differential Equation	(y-x)dx+4xdy=0	$(y - x) d x + 4 x d y = 0$
78266	Solve the Differential Equation	(dy)/(dx)=(y+1)/(x^2+1)	$\frac{d y}{d x} = \frac{y + 1}{x^{2} + 1}$
78267	Solve the Differential Equation	y''''''''+y''''-6y=xe^(-x)+2	$y'''' + y'' - 6 y = x e^{- x} + 2$
78268	Solve the Differential Equation	(dv)/(dt)=8/(1+t^2)+sec(t)^2 , v(0)=1	$\frac{d v}{d t} = \frac{8}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 1$
78269	Solve the Differential Equation	(dy)/(dx)+y^3=0	$\frac{d y}{d x} + y^{3} = 0$
78270	Solve the Differential Equation	(du)/(dx)=8x^7-3x^2+8	$\frac{d u}{d x} = 8 x^{7} - 3 x^{2} + 8$
78271	Solve the Differential Equation	(dy)/(dx)=25+y^2	$\frac{d y}{d x} = 25 + y^{2}$
78272	Solve the Differential Equation	3xy^2y''''=3x^4+y^3	$3 x y^{2} y'' = 3 x^{4} + y^{3}$
78273	Solve the Differential Equation	(x^2+2x-3)(dy)/(dx)=x+5	$(x^{2} + 2 x - 3) \frac{d y}{d x} = x + 5$
78274	Solve the Differential Equation	(4x^2-3xy-y^2)dx+(5x^2-xy)dy=0	$(4 x^{2} - 3 x y - y^{2}) d x + (5 x^{2} - x y) d y = 0$
78275	Solve the Differential Equation	f(x)=sec(u)	$f (x) = \sec (u)$
78276	Solve the Differential Equation	(dy)/(dx)+2/xy=3x-5	$\frac{d y}{d x} + \frac{2}{x} y = 3 x - 5$
78277	Solve the Differential Equation	-6/10(dtheta)/(dt)=1/10(6)	$- \frac{6}{10} \cdot \frac{d θ}{d t} = \frac{1}{10} (6)$
78278	Solve the Differential Equation	2y''''=4x-6	$2 y'' = 4 x - 6$
78279	Solve the Differential Equation	t^-8y''''(t)=2	$t^{- 8} y'' (t) = 2$
78280	Solve the Differential Equation	(dR)/(dx)=a(R^2+25)	$\frac{d R}{d x} = a (R^{2} + 25)$
78281	Solve the Differential Equation	(dy)/(dx)=7+1/x , y(1)=10	$\frac{d y}{d x} = 7 + \frac{1}{x}$ , $y (1) = 10$
78282	Solve the Differential Equation	(dy)/(dt)=-1/49(y-21)	$\frac{d y}{d t} = - \frac{1}{49} (y - 21)$
78283	Solve the Differential Equation	(dy)/(dx)-3y=1/2e^x	$\frac{d y}{d x} - 3 y = \frac{1}{2} e^{x}$
78284	Solve the Differential Equation	dy+2x(yd)x=xe^(-x^2)y^3dx	$d y + 2 x yd x = x e^{- x^{2}} y^{3} d x$
78285	Solve the Differential Equation	(dy)/(dx)=(2x)(y)	$\frac{d y}{d x} = (2 x) (y)$
78286	Solve the Differential Equation	x^2dx+2(yd)y=0	$x^{2} d x + 2 yd y = 0$
78287	Solve the Differential Equation	(dy)/(dx)=(5y^2)/x	$\frac{d y}{d x} = \frac{5 y^{2}}{x}$
78288	Solve the Differential Equation	xdy=(xsin(x)-y)dx	$x d y = (x \sin (x) - y) d x$
78289	Solve the Differential Equation	(dy)/(dx)=1/( 제곱근 1-x^2)+1/(2 제곱근 x)	$\frac{d y}{d x} = \frac{1}{\sqrt{1 - x^{2}}} + \frac{1}{2 \sqrt{x}}$
78290	Solve the Differential Equation	(dx)/(dt)=4e^t-4 ; , x(0)=2	$\frac{d x}{d t} = 4 e^{t} - 4$ ; , $x (0) = 2$
78291	Solve the Differential Equation	(dy)/(dx)-1/xy=x^2	$\frac{d y}{d x} - \frac{1}{x} y = x^{2}$
78292	Solve the Differential Equation	(dy)/(dx)=6x^2-6x-72	$\frac{d y}{d x} = 6 x^{2} - 6 x - 72$
78293	Solve the Differential Equation	5(dy)/(dx)+4xy=10	$5 \frac{d y}{d x} + 4 x y = 10$
78294	Solve the Differential Equation	(dy)/(dx)=1/( x+1) 의 제곱근	$\frac{d y}{d x} = \frac{1}{\sqrt{x + 1}}$
78295	Solve the Differential Equation	cos(ydx)-(xsin(y)-y^2)dy=0	$\cos (yd x) - (x \sin (y) - y^{2}) d y = 0$
78296	Solve the Differential Equation	(dy)/(dx)=61/(e^y)cos(x)	$\frac{d y}{d x} = 6 \cdot \frac{1}{e^{y}} \cdot \cos (x)$
78297	Solve the Differential Equation	(dy)/(dx)=16e^(-4x)	$\frac{d y}{d x} = 16 e^{- 4 x}$
78298	Solve the Differential Equation	(dy)/(dx)=3-y/x	$\frac{d y}{d x} = 3 - \frac{y}{x}$
78299	Solve the Differential Equation	x((dy)/(dx)+1)=x^3-2y	$x (\frac{d y}{d x} + 1) = x^{3} - 2 y$
78300	Solve the Differential Equation	y''''=xy+2x	$y'' = x y + 2 x$