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인기 문제

순위	주제	문제	형식화된 문제
74601	Solve the Differential Equation	f(x)=\|x^2-9\|	$f (x) = \| x^{2} - 9 \|$
74602	Solve the Differential Equation	y''''-y/x=x^4	$y'' - \frac{y}{x} = x^{4}$
74603	Solve the Differential Equation	xdy=(y+x)dx	$x d y = (y + x) d x$
74604	Solve the Differential Equation	(dy)/(dx)=1/(x(x-y))	$\frac{d y}{d x} = \frac{1}{x (x - y)}$
74605	Solve the Differential Equation	(dy)/(dx)-3y=12	$\frac{d y}{d x} - 3 y = 12$
74606	Solve the Differential Equation	(dy)/(dx)+2y=1 , y(0)=5/2	$\frac{d y}{d x} + 2 y = 1$ , $y (0) = \frac{5}{2}$
74607	Solve the Differential Equation	y''''-y/x=x^2	$y'' - \frac{y}{x} = x^{2}$
74608	Solve the Differential Equation	y''''=tan(x+y)-1	$y'' = \tan (x + y) - 1$
74609	Solve the Differential Equation	f(x)=4x^2+4	$f (x) = 4 x^{2} + 4$
74610	Solve the Differential Equation	(ds)/(dt)=cos(t)-sin(t) , s(pi/2)=12	$\frac{d s}{d t} = \cos (t) - \sin (t)$ , $s (\frac{π}{2}) = 12$
74611	Solve the Differential Equation	(dy)/(dx)=ax+by	$\frac{d y}{d x} = a x + b y$
74612	Solve the Differential Equation	(dy)/(dx)=x^2y-y+x^2-1	$\frac{d y}{d x} = x^{2} y - y + x^{2} - 1$
74613	Solve the Differential Equation	yy''''=3cos(x)	$y y'' = 3 \cos (x)$
74614	Solve the Differential Equation	(ds)/(dt)=20t(5t^2-3)^3 , s(1)=6	$\frac{d s}{d t} = 20 t {(5 t^{2} - 3)}^{3}$ , $s (1) = 6$
74615	Solve the Differential Equation	(dy)/(dx)-6xy-18x=0	$\frac{d y}{d x} - 6 x y - 18 x = 0$
74616	Solve the Differential Equation	y''''''''-5y''''=0	$y'''' - 5 y'' = 0$
74617	Solve the Differential Equation	e^(x+3y)dy=xdx	$e^{x + 3 y} d y = x d x$
74618	Solve the Differential Equation	(dy)/(dt)=ysin(t)^3 , y(0)=1	$\frac{d y}{d t} = y \sin^{3} (t)$ , $y (0) = 1$
74619	Solve the Differential Equation	(dy)/(dx)=4x^3-6x^2+7x	$\frac{d y}{d x} = 4 x^{3} - 6 x^{2} + 7 x$
74620	Solve the Differential Equation	cos(x+y)dx+(3y^2+2y+cos(x+y))dy=0	$\cos (x + y) d x + (3 y^{2} + 2 y + \cos (x + y)) d y = 0$
74621	Solve the Differential Equation	(dy)/(dx)=e^(3y)cos(x)	$\frac{d y}{d x} = e^{3 y} \cos (x)$
74622	Solve the Differential Equation	(3x^3y+y)dx+(y^2-x^3)dy=0	$(3 x^{3} y + y) d x + (y^{2} - x^{3}) d y = 0$
74623	Solve the Differential Equation	y''''''''+y''''=1	$y'''' + y'' = 1$
74624	Solve the Differential Equation	(dy)/(dt)=y+4	$\frac{d y}{d t} = y + 4$
74625	Solve the Differential Equation	x(dy)/(dx)=3y(xy^(1/3)-2)	$x \frac{d y}{d x} = 3 y (x y^{\frac{1}{3}} - 2)$
74626	Solve the Differential Equation	y''''=(xy^2-y)/x	$y'' = \frac{x y^{2} - y}{x}$
74627	Solve the Differential Equation	y''''-2y''''+y=e^x	$y'' - 2 y'' + y = e^{x}$
74628	Solve the Differential Equation	1/4y''''''''+y''''+y=x^2-2x	$\frac{1}{4} y'''' + y'' + y = x^{2} - 2 x$
74629	Solve the Differential Equation	2x^2+3y(dy)/(dx)=0	$2 x^{2} + 3 y \frac{d y}{d x} = 0$
74630	Solve the Differential Equation	(y+x+5)dy-(2x+2y-3)dx=0	$(y + x + 5) d y - (2 x + 2 y - 3) d x = 0$
74631	Solve the Differential Equation	xy''''''''=y''''	$x y'''' = y''$
74632	Solve the Differential Equation	(dy)/(dx)=8x^3-3x^2+7x	$\frac{d y}{d x} = 8 x^{3} - 3 x^{2} + 7 x$
74633	Solve the Differential Equation	제곱근 x(dy)/(dx)=e^(10y+ 제곱근 x)	$\sqrt{x} \frac{d y}{d x} = e^{10 y + \sqrt{x}}$
74634	Solve the Differential Equation	(x^2-9)(dy)/(dx)=-xy	$(x^{2} - 9) \frac{d y}{d x} = - x y$
74635	Solve the Differential Equation	(x+y)dx+(x+y)dy=0	$(x + y) d x + (x + y) d y = 0$
74636	Solve the Differential Equation	y''''''''''''+3y''''''''-4=0	$y'''''' + 3 y'''' - 4 = 0$
74637	Solve the Differential Equation	(ds)/(dt)=12t(3t^2-1)^3 , s(1)=10	$\frac{d s}{d t} = 12 t {(3 t^{2} - 1)}^{3}$ , $s (1) = 10$
74638	Solve the Differential Equation	(dr)/(dtheta)=8pi	$\frac{d r}{d θ} = 8 π$
74639	Solve the Differential Equation	2x(yd)x+(2+x^2)dy=0	$2 x yd x + (2 + x^{2}) d y = 0$
74640	Solve the Differential Equation	(dy)/(dx)=y/(2x)+(x^2)/(2y)	$\frac{d y}{d x} = \frac{y}{2 x} + \frac{x^{2}}{2 y}$
74641	Solve the Differential Equation	2xy-9x^2+(2y+x^2+1)(dy)/(dx)=0	$2 x y - 9 x^{2} + (2 y + x^{2} + 1) \frac{d y}{d x} = 0$
74642	Solve the Differential Equation	yy''''=4cos(x)	$y y'' = 4 \cos (x)$
74643	Solve the Differential Equation	2(yd)y=3x^2dx	$2 yd y = 3 x^{2} d x$
74644	Solve the Differential Equation	(y+1)dx-xdy=0	$(y + 1) d x - x d y = 0$
74645	Solve the Differential Equation	y''''=(4x+7)(5y+4)	$y'' = (4 x + 7) (5 y + 4)$
74646	Solve the Differential Equation	y''''''''-6y''''-2y=0	$y'''' - 6 y'' - 2 y = 0$
74647	Solve the Differential Equation	y''''=9x-y	$y'' = 9 x - y$
74648	Solve the Differential Equation	(dy)/(dx)=-y^2x(x^2+2)^4	$\frac{d y}{d x} = - y^{2} x {(x^{2} + 2)}^{4}$
74649	Solve the Differential Equation	y''''=(-sin(y)^2)/x	$y'' = \frac{- \sin^{2} (y)}{x}$
74650	Solve the Differential Equation	(x-y^3+y^2sin(x))dx-(3xy^2+2ycos(x))dy=0	$(x - y^{3} + y^{2} \sin (x)) d x - (3 x y^{2} + 2 y \cos (x)) d y = 0$
74651	Solve the Differential Equation	yy''''=6cos(x)	$y y'' = 6 \cos (x)$
74652	Solve the Differential Equation	1/x(dy)/(dx)-1/(1+x^2)y=x^3	$\frac{1}{x} \cdot \frac{d y}{d x} - \frac{1}{1 + x^{2}} y = x^{3}$
74653	Solve the Differential Equation	(x+1)(dy)/(dx)+y = natural log of x , y(1)=10	$(x + 1) \frac{d y}{d x} + y = \ln (x)$ , $y (1) = 10$
74654	Solve the Differential Equation	e^x(dy)/(dx)+3e^xy=2	$e^{x} \frac{d y}{d x} + 3 e^{x} y = 2$
74655	Solve the Differential Equation	y''''=e^(-3x)+2x	$y'' = e^{- 3 x} + 2 x$
74656	Solve the Differential Equation	(dy)/(dx)+3xe^y=0	$\frac{d y}{d x} + 3 x e^{y} = 0$
74657	Solve the Differential Equation	(dy)/(dx)=-0.8y , y(0)=80	$\frac{d y}{d x} = - 0.8 y$ , $y (0) = 80$
74658	Solve the Differential Equation	y''''-y=xy^2	$y'' - y = x y^{2}$
74659	Solve the Differential Equation	y''''+ky=e^(-kx)	$y'' + k y = e^{- k x}$
74660	Solve the Differential Equation	(dy)/(dx)=(4x)/(3y)	$\frac{d y}{d x} = \frac{4 x}{3 y}$
74661	Solve the Differential Equation	(dy)/(dx)=6+1/x , y(1)=7	$\frac{d y}{d x} = 6 + \frac{1}{x}$ , $y (1) = 7$
74662	Solve the Differential Equation	(dN)/(dt)=700+600 t 의 제곱근	$\frac{d N}{d t} = 700 + 600 \sqrt{t}$
74663	Solve the Differential Equation	y''''-2y=x	$y'' - 2 y = x$
74664	Solve the Differential Equation	y''''''''-4y=(e^(2x))/x	$y'''' - 4 y = \frac{e^{2 x}}{x}$
74665	Solve the Differential Equation	(1+e^(2x))dy+(1+y^2)e^xdx=0	$(1 + e^{2 x}) d y + (1 + y^{2}) e^{x} d x = 0$
74666	Solve the Differential Equation	yy''''-2e^x=0	$y y'' - 2 e^{x} = 0$
74667	Solve the Differential Equation	(dy)/(dx)=xcos(6x^2) , y(0)=7	$\frac{d y}{d x} = x \cos (6 x^{2})$ , $y (0) = 7$
74668	Solve the Differential Equation	y''''''''''''''''+y''''''''''''+y''''''''=0	$y'''''''' + y'''''' + y'''' = 0$
74669	Solve the Differential Equation	(dy)/(dx)(1/(25-y))=2	$\frac{d y}{d x} (\frac{1}{25 - y}) = 2$
74670	Solve the Differential Equation	y''''-y^2-3y+4=0	$y'' - y^{2} - 3 y + 4 = 0$
74671	Solve the Differential Equation	(3x-y+6)dx+(6x-2y-6)dy=0	$(3 x - y + 6) d x + (6 x - 2 y - 6) d y = 0$
74672	Solve the Differential Equation	(x+y)(dy)/(dx)=2(x+y)+1	$(x + y) \frac{d y}{d x} = 2 (x + y) + 1$
74673	Solve the Differential Equation	(dy)/(dt)-6t^2e^(-y)=0	$\frac{d y}{d t} - 6 t^{2} e^{- y} = 0$
74674	Solve the Differential Equation	(15x^2-14x)dx-dy=0	$(15 x^{2} - 14 x) d x - d y = 0$
74675	Solve the Differential Equation	(dy)/(dx)-2y=e^x	$\frac{d y}{d x} - 2 y = e^{x}$
74676	Solve the Differential Equation	e^(x+2y)(dy)/(dx)=2	$e^{x + 2 y} \frac{d y}{d x} = 2$
74677	Solve the Differential Equation	x^2(dy)/(dx)+2xy=5y^3	$x^{2} \frac{d y}{d x} + 2 x y = 5 y^{3}$
74678	Solve the Differential Equation	4xdx-3(yd)y=3x^2(yd)y-2xy^2dx	$4 x d x - 3 yd y = 3 x^{2} yd y - 2 x y^{2} d x$
74679	Solve the Differential Equation	(y^2+1)dx=(1+xy)dy	$(y^{2} + 1) d x = (1 + x y) d y$
74680	Solve the Differential Equation	y^2dx+(x-2)dy=0	$y^{2} d x + (x - 2) d y = 0$
74681	Solve the Differential Equation	(dy)/(dx)=y-2x	$\frac{d y}{d x} = y - 2 x$
74682	Solve the Differential Equation	y''''-2y=e^(2t)	$y'' - 2 y = e^{2 t}$
74683	Solve the Differential Equation	(dy)/(dt)=2-(3y)/(100+2t)	$\frac{d y}{d t} = 2 - \frac{3 y}{100 + 2 t}$
74684	Solve the Differential Equation	3(3x^2+y^2)dx-2x(yd)y=0	$3 (3 x^{2} + y^{2}) d x - 2 x yd y = 0$
74685	Solve the Differential Equation	(dv)/(dp)=(-v)/p	$\frac{d v}{d p} = \frac{- v}{p}$
74686	Solve the Differential Equation	y''''-e^(x-y)=0	$y'' - e^{x - y} = 0$
74687	Solve the Differential Equation	(dy)/(dx)=y^2-y	$\frac{d y}{d x} = y^{2} - y$
74688	Solve the Differential Equation	y''''=(9x^2-6)/(x^2)	$y'' = \frac{9 x^{2} - 6}{x^{2}}$
74689	Solve the Differential Equation	(dy)/(dx)=y+7	$\frac{d y}{d x} = y + 7$
74690	Solve the Differential Equation	(2+6xy)dx+(3x^2-2y)dy=0	$(2 + 6 x y) d x + (3 x^{2} - 2 y) d y = 0$
74691	Solve the Differential Equation	(xsin(x)+1)dy+(ysin(x)+xycos(x))dx=0	$(x \sin (x) + 1) d y + (y \sin (x) + x y \cos (x)) d x = 0$
74692	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(3x+1)	$x^{2} \frac{d w}{d x} = \sqrt{w} (3 x + 1)$
74693	Solve the Differential Equation	2(dy)/(dx)=4xe^(-x)	$2 \frac{d y}{d x} = 4 x e^{- x}$
74694	Solve the Differential Equation	(x+xy^2)dx+ye^(x^2)dy=0	$(x + x y^{2}) d x + y e^{x^{2}} d y = 0$
74695	Solve the Differential Equation	y''''''''-16y=2e^(4x)	$y'''' - 16 y = 2 e^{4 x}$
74696	Solve the Differential Equation	(dy)/(dx)=2x+2	$\frac{d y}{d x} = 2 x + 2$
74697	Solve the Differential Equation	y''''''''+36y=0	$y'''' + 36 y = 0$
74698	Solve the Differential Equation	(dy)/(dx)=(9x^2)/( 8+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{9 x^{2}}{\sqrt{8 + x^{3}}}$
74699	Solve the Differential Equation	(dy)/(dx)=2x+15	$\frac{d y}{d x} = 2 x + 15$
74700	Solve the Differential Equation	(dy)/(dx)=9x^2y-3xy	$\frac{d y}{d x} = 9 x^{2} y - 3 x y$