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인기 문제

순위	주제	문제	형식화된 문제
77601	Solve the Differential Equation	(x+y)dx=(y-x)dy	$(x + y) d x = (y - x) d y$
77602	Solve the Differential Equation	(xy+x^2y^3)(dy)/(dx)=1	$(x y + x^{2} y^{3}) \frac{d y}{d x} = 1$
77603	Solve the Differential Equation	(x^2+4)y''''=xy	$(x^{2} + 4) y'' = x y$
77604	Solve the Differential Equation	(dy)/(dx)=1/(12 x) , y(16)=0 의 제곱근	$\frac{d y}{d x} = \frac{1}{12 \sqrt{x}}$ , $y (16) = 0$
77605	Solve the Differential Equation	(dy)/(dx)=(1-2x)y^2	$\frac{d y}{d x} = (1 - 2 x) y^{2}$
77606	Solve the Differential Equation	(dy)/y=-xdx	$\frac{d y}{y} = - x d x$
77607	Solve the Differential Equation	(dy)/(dx)=(x^2+y^2)/(2xy)	$\frac{d y}{d x} = \frac{(x^{2} + y^{2})}{2 x y}$
77608	Solve the Differential Equation	y^2(dy)/(dx) = 제곱근 xy-2x^2 제곱근 x	$y^{2} \frac{d y}{d x} = \sqrt{x y} - 2 x^{2} \sqrt{x}$
77609	Solve the Differential Equation	y''''''''=x^-4	$y'''' = x^{- 4}$
77610	Solve the Differential Equation	(dy)/(dx)=1/(3 x) , y(25)=0 의 제곱근	$\frac{d y}{d x} = \frac{1}{3 \sqrt{x}}$ , $y (25) = 0$
77611	Solve the Differential Equation	(dy)/(dx)=(xy+3x-y-3)/(xy-2x+4y-8)	$\frac{d y}{d x} = \frac{(x y + 3 x - y - 3)}{x y - 2 x + 4 y - 8}$
77612	Solve the Differential Equation	2(dy)/(dx)-y/x=5x^3y^3	$2 \frac{d y}{d x} - \frac{y}{x} = 5 x^{3} y^{3}$
77613	Solve the Differential Equation	y''''=(1+y^2)/(1+x^2)	$y'' = \frac{1 + y^{2}}{1 + x^{2}}$
77614	Solve the Differential Equation	(dy)/(dx)=5+1/x , y(1)=7	$\frac{d y}{d x} = 5 + \frac{1}{x}$ , $y (1) = 7$
77615	Solve the Differential Equation	y''''=1/(6e^y-2x)	$y'' = \frac{1}{6 e^{y} - 2 x}$
77616	Solve the Differential Equation	xy''''-y=(x^2)/(y^2)	$x y'' - y = \frac{x^{2}}{y^{2}}$
77617	Solve the Differential Equation	(d^2y)/(dx^2)+3(dy)/(dx)=0	$\frac{d^{2} y}{d x^{2}} + 3 \frac{d y}{d x} = 0$
77618	Solve the Differential Equation	16xdx+dy=0	$16 x d x + d y = 0$
77619	Solve the Differential Equation	xy''''+4y=2x^3	$x y'' + 4 y = 2 x^{3}$
77620	Solve the Differential Equation	ye^xdx+e^xdy=0	$y e^{x} d x + e^{x} d y = 0$
77621	Solve the Differential Equation	(d^4y)/(dx^4)-16y=0	$\frac{d^{4} y}{d x^{4}} - 16 y = 0$
77622	Solve the Differential Equation	(dx)/(dt)=-x	$\frac{d x}{d t} = - x$
77623	Solve the Differential Equation	-3y''''''''+2y''''-y=0	$- 3 y'''' + 2 y'' - y = 0$
77624	Solve the Differential Equation	x^2(dy)/(dx)=y	$x^{2} \frac{d y}{d x} = y$
77625	Solve the Differential Equation	(dy)/(dx)=(xy)/(1+x^2)	$\frac{d y}{d x} = \frac{x y}{1 + x^{2}}$
77626	Solve the Differential Equation	x^2(d^2y)/(dx^2)+x(dy)/(dx)+2y=sin(x)	$x^{2} \frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x} + 2 y = \sin (x)$
77627	Solve the Differential Equation	(dy)/(dx)-2xy-6x=0	$\frac{d y}{d x} - 2 x y - 6 x = 0$
77628	Solve the Differential Equation	(du)/(dx)=7x^6-4x^3+8	$\frac{d u}{d x} = 7 x^{6} - 4 x^{3} + 8$
77629	Solve the Differential Equation	(dy)/(dx)=x^-3+2	$\frac{d y}{d x} = x^{- 3} + 2$
77630	Solve the Differential Equation	f(x)=(5x^3+7)(-2x^2+1)	$f (x) = (5 x^{3} + 7) (- 2 x^{2} + 1)$
77631	Solve the Differential Equation	y''''+2y=4cos(x)^2	$y'' + 2 y = 4 \cos^{2} (x)$
77632	Solve the Differential Equation	(3y-7x+7)dx+(7y-3x+3)dy=0	$(3 y - 7 x + 7) d x + (7 y - 3 x + 3) d y = 0$
77633	Solve the Differential Equation	(dy)/(dx)-8y=0	$\frac{d y}{d x} - 8 y = 0$
77634	Solve the Differential Equation	(dy)/(dx)=y^2 x 의 제곱근	$\frac{d y}{d x} = y^{2} \sqrt{x}$
77635	Solve the Differential Equation	(dy)/(dx)=25-y	$\frac{d y}{d x} = 25 - y$
77636	Solve the Differential Equation	(dy)/(dx)+3y=x+e^(-2x)	$\frac{d y}{d x} + 3 y = x + e^{- 2 x}$
77637	Solve the Differential Equation	t^2(dy)/(dt)-t=1+y+ty	$t^{2} \frac{d y}{d t} - t = 1 + y + t y$
77638	Solve the Differential Equation	x(df)/(dx)-2=3(df)/(dx)	$x \frac{d f}{d x} - 2 = 3 \frac{d f}{d x}$
77639	Solve the Differential Equation	6xy''''-y''''=0	$6 x y'' - y'' = 0$
77640	Solve the Differential Equation	(ydy)/(tdt)=e^(t^2)	$\frac{yd y}{t d t} = e^{t^{2}}$
77641	Solve the Differential Equation	(dx)/(dt)=37.5-3.5x	$\frac{d x}{d t} = 37.5 - 3.5 x$
77642	Solve the Differential Equation	(dy)/(dx)=(cot(x))/(sec(x^2))	$\frac{d y}{d x} = \frac{\cot (x)}{\sec (x^{2})}$
77643	Solve the Differential Equation	(dy)/(dx)-1/xy=2	$\frac{d y}{d x} - \frac{1}{x} y = 2$
77644	Solve the Differential Equation	(dy)/(dx)=e^(-2x)	$\frac{d y}{d x} = e^{- 2 x}$
77645	Solve the Differential Equation	(dy)/(dx)=(-2y)/x	$\frac{d y}{d x} = \frac{- 2 y}{x}$
77646	Solve the Differential Equation	(dy)/(dx)+(x+1)y=x^2	$\frac{d y}{d x} + (x + 1) y = x^{2}$
77647	Solve the Differential Equation	(dy)/(dx)=e^x+y	$\frac{d y}{d x} = e^{x} + y$
77648	Solve the Differential Equation	(dy)/(dx)=-3x	$\frac{d y}{d x} = - 3 x$
77649	Solve the Differential Equation	(dy)/(dx)=3y-x^2y	$\frac{d y}{d x} = 3 y - x^{2} y$
77650	Solve the Differential Equation	(dy)/(dx)=1-8/3x^(5/3)	$\frac{d y}{d x} = 1 - \frac{8}{3} x^{\frac{5}{3}}$
77651	Solve the Differential Equation	2y(dy)/(dx)=x/( x^2-16) 의 제곱근	$2 y \frac{d y}{d x} = \frac{x}{\sqrt{x^{2} - 16}}$
77652	Solve the Differential Equation	(y^2-2xy+6)dx-(x^2-2xy+2)dy=0	$(y^{2} - 2 x y + 6) d x - (x^{2} - 2 x y + 2) d y = 0$
77653	Solve the Differential Equation	(dy)/(dt)+4y=11 , y(0)=1	$\frac{d y}{d t} + 4 y = 11$ , $y (0) = 1$
77654	Solve the Differential Equation	x(yd)x-(x^2+y^2)dy=0	$x yd x - (x^{2} + y^{2}) d y = 0$
77655	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(5x+4)	$x^{2} \frac{d w}{d x} = \sqrt{w} (5 x + 4)$
77656	Solve the Differential Equation	x(dy)/(dx)+2y=x^2-3x	$x \frac{d y}{d x} + 2 y = x^{2} - 3 x$
77657	Solve the Differential Equation	6y(dy)/(dx)=5x^2	$6 y \frac{d y}{d x} = 5 x^{2}$
77658	Solve the Differential Equation	e^xdy+(e^x+1)dx=0	$e^{x} d y + (e^{x} + 1) d x = 0$
77659	Solve the Differential Equation	x(t^2-1)dt+(t^3-3t)dx=0	$x (t^{2} - 1) d t + (t^{3} - 3 t) d x = 0$
77660	Solve the Differential Equation	(dy)/(dx)=(6x^2-2x+1)/(cos(y)+e^y)	$\frac{d y}{d x} = \frac{6 x^{2} - 2 x + 1}{\cos (y) + e^{y}}$
77661	Solve the Differential Equation	y''''+(1/x)y=3x	$y'' + (\frac{1}{x}) y = 3 x$
77662	Solve the Differential Equation	(dP)/(dt)=rP	$\frac{d P}{d t} = r P$
77663	Solve the Differential Equation	(dr)/(dtheta)=picos(pitheta) , r(0)=3	$\frac{d r}{d θ} = π \cos (π θ)$ , $r (0) = 3$
77664	Solve the Differential Equation	(dy)/(dx)=1/(19y^18)	$\frac{d y}{d x} = \frac{1}{19 y^{18}}$
77665	Solve the Differential Equation	(dy)/(dx)=1/8 제곱근 ycos( 제곱근 y)^2	$\frac{d y}{d x} = \frac{1}{8} \sqrt{y} \cos^{2} (\sqrt{y})$
77666	Solve the Differential Equation	Solve (dy)/(dx) of x^3y^4-6e^(2x-y)=3	Solve $\frac{d y}{d x}$ of $x^{3} y^{4} - 6 e^{2 x - y} = 3$
77667	Solve the Differential Equation	y 자연로그 ydx+x 자연로그 xdy=0	$y \ln (yd x) + x \ln (x d y) = 0$
77668	Solve the Differential Equation	x-y+x(dy)/(dx)=0	$x - y + x \frac{d y}{d x} = 0$
77669	Solve the Differential Equation	(dy)/(dx)=10x-3	$\frac{d y}{d x} = 10 x - 3$
77670	Solve the Differential Equation	(dy)/(dx)=xy-1	$\frac{d y}{d x} = x y - 1$
77671	Solve the Differential Equation	3((d^5y)/(dx^5))^7+4((dy)/(dx))+9x^3=0	$3 {(\frac{d^{5} y}{d x^{5}})}^{7} + 4 (\frac{d y}{d x}) + 9 x^{3} = 0$
77672	Solve the Differential Equation	(dx)/(dt)=-x+y	$\frac{d x}{d t} = - x + y$
77673	Solve the Differential Equation	y''''-ysin(x)=0	$y'' - y \sin (x) = 0$
77674	Solve the Differential Equation	(dm)/(dx)=1/(2 x) 의 제곱근	$\frac{d m}{d x} = \frac{1}{2 \sqrt{x}}$
77675	Solve the Differential Equation	(dy)/(dt)-y=1 , y(0)=1	$\frac{d y}{d t} - y = 1$ , $y (0) = 1$
77676	Solve the Differential Equation	sin(t)cos(xdt)-sin(x)cos(tdx)=0	$\sin (t) \cos (x d t) - \sin (x) \cos (t d x) = 0$
77677	Solve the Differential Equation	(x+ycos(x))dx+(sin(x))dy=0	$(x + y \cos (x)) d x + (\sin (x)) d y = 0$
77678	Solve the Differential Equation	(6+x)y''''=3y	$(6 + x) y'' = 3 y$
77679	Solve the Differential Equation	f(x)=3x^2-2x+1	$f (x) = 3 x^{2} - 2 x + 1$
77680	Solve the Differential Equation	y''''-(y'''')^2-1=0	$y'' - {(y'')}^{2} - 1 = 0$
77681	Solve the Differential Equation	f''''''''(x)-3f''''(x)=9	$f'''' (x) - 3 f'' (x) = 9$
77682	Solve the Differential Equation	x^2(d^2y)/(dx^2)-2x(dy)/(dx)-4y=0	$x^{2} \frac{d^{2} y}{d x^{2}} - 2 x \frac{d y}{d x} - 4 y = 0$
77683	Solve the Differential Equation	(3sin(y)-5x)dx+2x^2cot(ydy)=0	$(3 \sin (y) - 5 x) d x + 2 x^{2} \cot (yd y) = 0$
77684	Solve the Differential Equation	(dy)/(dx)=1/x+e^x	$\frac{d y}{d x} = \frac{1}{x} + e^{x}$
77685	Solve the Differential Equation	y''''''''''''+3y''''-4y''''-12y=0	$y'''''' + 3 y'' - 4 y'' - 12 y = 0$
77686	Solve the Differential Equation	(x+3y-5)dx-(x-y-1)dy=0	$(x + 3 y - 5) d x - (x - y - 1) d y = 0$
77687	Solve the Differential Equation	dy+9xdx=0	$d y + 9 x d x = 0$
77688	Solve the Differential Equation	(dx)/(dy)=y/x	$\frac{d x}{d y} = \frac{y}{x}$
77689	Solve the Differential Equation	(dy)/(dx)=-2x	$\frac{d y}{d x} = - 2 x$
77690	Solve the Differential Equation	(x+2/y)dy+ydx=0	$(x + \frac{2}{y}) d y + yd x = 0$
77691	Solve the Differential Equation	xdy+ydx=x^3y^6dx	$x d y + yd x = x^{3} y^{6} d x$
77692	Solve the Differential Equation	(dx)/(dy)-4y-5+e^(-2x)=0	$\frac{d x}{d y} - 4 y - 5 + e^{- 2 x} = 0$
77693	Solve the Differential Equation	x(dy)/(dx)=y^2-y	$x \frac{d y}{d x} = y^{2} - y$
77694	Solve the Differential Equation	x(yd)x+ 1+x^2dy=0 의 제곱근	$x yd x + \sqrt{1 + x^{2}} d y = 0$
77695	Solve the Differential Equation	xvdv-(1+v^2)dx=0	$x v d v - (1 + v^{2}) d x = 0$
77696	Solve the Differential Equation	(dy)/(dx)=1+(x-y)^2	$\frac{d y}{d x} = 1 + {(x - y)}^{2}$
77697	Solve the Differential Equation	(dy)/(dt)=y+5t	$\frac{d y}{d t} = y + 5 t$
77698	Solve the Differential Equation	(dy)/(dx)=(9x)/(5y)	$\frac{d y}{d x} = \frac{9 x}{5 y}$
77699	Solve the Differential Equation	(dy)/(dx) = square root of x+49	$\frac{d y}{d x} = \sqrt{x + 49}$
77700	Solve the Differential Equation	(2x+y)^2dx-2dy=0	${(2 x + y)}^{2} d x - 2 d y = 0$