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인기 문제

순위	주제	문제	형식화된 문제
77401	Solve the Differential Equation	(dy)/(dx)=y+x^2	$\frac{d y}{d x} = y + x^{2}$
77402	Solve the Differential Equation	(dy)/(dx)+2xy=3x	$\frac{d y}{d x} + 2 x y = 3 x$
77403	Solve the Differential Equation	x(yd)x+(x^2+y^2)dy=0	$x yd x + (x^{2} + y^{2}) d y = 0$
77404	Solve the Differential Equation	x(dy)/(dx)-4y+2x=0 , y(1)=10	$x \frac{d y}{d x} - 4 y + 2 x = 0$ , $y (1) = 10$
77405	Solve the Differential Equation	(dy)/(dx)=sin(x-y)	$\frac{d y}{d x} = \sin (x - y)$
77406	Solve the Differential Equation	(dy)/(dt)=(4t^2)/(5y)	$\frac{d y}{d t} = \frac{4 t^{2}}{5 y}$
77407	Solve the Differential Equation	y''''+y''''-2y=1-3x^2	$y'' + y'' - 2 y = 1 - 3 x^{2}$
77408	Solve the Differential Equation	(dy)/(dx)=2x^2y-9xy	$\frac{d y}{d x} = 2 x^{2} y - 9 x y$
77409	Solve the Differential Equation	(dy)/(dx)-2ycos(x)=y^2cos(x)^2	$\frac{d y}{d x} - 2 y \cos (x) = y^{2} \cos^{2} (x)$
77410	Solve the Differential Equation	y''''=(y-x)/x	$y'' = \frac{(y - x)}{x}$
77411	Solve the Differential Equation	y''''+1=-4x	$y'' + 1 = - 4 x$
77412	Solve the Differential Equation	y''''-49y=0	$y'' - 49 y = 0$
77413	Solve the Differential Equation	(dy)/(dx)=(ycos(x))/(1+y^2) , y(0)=1	$\frac{d y}{d x} = \frac{y \cos (x)}{1 + y^{2}}$ , $y (0) = 1$
77414	Solve the Differential Equation	(dy)/(dx)=2x^(3/7)	$\frac{d y}{d x} = 2 x^{\frac{3}{7}}$
77415	Solve the Differential Equation	(dy)/(dx)=6x-7 and y(5)=0	$\frac{d y}{d x} = 6 x - 7$ and $y (5) = 0$
77416	Solve the Differential Equation	(dy)/(dx)=(10x^9)/(3e^y)	$\frac{d y}{d x} = \frac{10 x^{9}}{3 e^{y}}$
77417	Solve the Differential Equation	sin(x)(dy)/(dx)+ycos(x)=1	$\sin (x) \frac{d y}{d x} + y \cos (x) = 1$
77418	Solve the Differential Equation	(du)/(dx)=7x^6-5x^4+4	$\frac{d u}{d x} = 7 x^{6} - 5 x^{4} + 4$
77419	Solve the Differential Equation	2xy''''- x^2=0 의 자연로그	$2 x y'' - \ln (x^{2}) = 0$
77420	Solve the Differential Equation	(d^3y)/(dx^3)+(d^2y)/(dx^2)+(dy)/(dx)=cos(y)^4	$\frac{d^{3} y}{d x^{3}} + \frac{d^{2} y}{d x^{2}} + \frac{d y}{d x} = \cos^{4} (y)$
77421	Solve the Differential Equation	(dy)/(dx)=cos(x)^2	$\frac{d y}{d x} = \cos^{2} (x)$
77422	Solve the Differential Equation	(dy)/(dx)=x(2+x^2)^4 , y(0)=0	$\frac{d y}{d x} = x {(2 + x^{2})}^{4}$ , $y (0) = 0$
77423	Solve the Differential Equation	(dy)/(dx)=(x+y-5)/(x+y+1)	$\frac{d y}{d x} = \frac{x + y - 5}{x + y + 1}$
77424	Solve the Differential Equation	(2xy^2-3y^3)dx+(7-3xy^2)dy=0	$(2 x y^{2} - 3 y^{3}) d x + (7 - 3 x y^{2}) d y = 0$
77425	Solve the Differential Equation	9yy''''=x	$9 y y'' = x$
77426	Solve the Differential Equation	(dy)/(dx)=-y-8	$\frac{d y}{d x} = - y - 8$
77427	Solve the Differential Equation	(dy)/(dt)=t^3y	$\frac{d y}{d t} = t^{3} y$
77428	Solve the Differential Equation	y^4-y''''''''=4x+2e^(-x)	$y^{4} - y'''' = 4 x + 2 e^{- x}$
77429	Solve the Differential Equation	y''''+2y=sin(3x)	$y'' + 2 y = \sin (3 x)$
77430	Solve the Differential Equation	(d^2y)/(dx^2)-3(dy)/(dx)+2y=4x^2	$\frac{d^{2} y}{d x^{2}} - 3 \frac{d y}{d x} + 2 y = 4 x^{2}$
77431	Solve the Differential Equation	(x+y)dx+ x^2+y^2dy=0 의 제곱근	$(x + y) d x + \sqrt{x^{2} + y^{2}} d y = 0$
77432	Solve the Differential Equation	(dy)/(dx)=6x-y	$\frac{d y}{d x} = 6 x - y$
77433	Solve the Differential Equation	(dy)/(dx)=-5e^(x+5) , y(-5)=7	$\frac{d y}{d x} = - 5 e^{x + 5}$ , $y (- 5) = 7$
77434	Solve the Differential Equation	(arctan(x)+xy)dx+(e^y+(x^2)/2)dy=0	$(\arctan (x) + x y) d x + (e^{y} + \frac{x^{2}}{2}) d y = 0$
77435	Solve the Differential Equation	y''''=y-y^3e^(-2x)	$y'' = y - y^{3} e^{- 2 x}$
77436	Solve the Differential Equation	(dy)/(dx)=x^3 x 의 자연로그	$\frac{d y}{d x} = x^{3} \ln (x)$
77437	Solve the Differential Equation	(dy)/(dx)+4y=e^(2x)	$\frac{d y}{d x} + 4 y = e^{2 x}$
77438	Solve the Differential Equation	y''''=y-1	$y'' = y - 1$
77439	Solve the Differential Equation	(dy)/(dx)=4x^2y-7xy	$\frac{d y}{d x} = 4 x^{2} y - 7 x y$
77440	Solve the Differential Equation	(y-x)(y+x)(y^2+x^2)(xdy-(yd)x)=x^6dx	$(y - x) (y + x) (y^{2} + x^{2}) (x d y - yd x) = x^{6} d x$
77441	Solve the Differential Equation	(dy)/(dx)=4/((2y+1)^2)	$\frac{d y}{d x} = \frac{4}{{(2 y + 1)}^{2}}$
77442	Solve the Differential Equation	y''''=ysin(x)	$y'' = y \sin (x)$
77443	Solve the Differential Equation	(dy)/(dx)=4/(1+x) , y(0)=3	$\frac{d y}{d x} = \frac{4}{1 + x}$ , $y (0) = 3$
77444	Solve the Differential Equation	(dy)/(dx)=(6x^2)/( 3+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{6 x^{2}}{\sqrt{3 + x^{3}}}$
77445	Solve the Differential Equation	x^2y''''+9xy''''-20y=0	$x^{2} y'' + 9 x y'' - 20 y = 0$
77446	Solve the Differential Equation	(dy)/(dx)=5x^4e^(-y)	$\frac{d y}{d x} = 5 x^{4} e^{- y}$
77447	Solve the Differential Equation	y''''''''''''+y''''''''-8y-12y=0	$y'''''' + y'''' - 8 y - 12 y = 0$
77448	Solve the Differential Equation	y''''=3x^2y^2	$y'' = 3 x^{2} y^{2}$
77449	Solve the Differential Equation	(dy)/(dt)=2ty	$\frac{d y}{d t} = 2 t y$
77450	Solve the Differential Equation	(d^3y)/(dx^3)+(dy^2)/(dx^2)-(dy)/(dx)-y=0	$\frac{d^{3} y}{d x^{3}} + \frac{d y^{2}}{d x^{2}} - \frac{d y}{d x} - y = 0$
77451	Solve the Differential Equation	(dx)/(dy)(6x-2xy)=1	$\frac{d x}{d y} (6 x - 2 x y) = 1$
77452	Solve the Differential Equation	(2x+y-3)dx+(x-4y+1)dy=0	$(2 x + y - 3) d x + (x - 4 y + 1) d y = 0$
77453	Solve the Differential Equation	g(x)=(x+9 x)e^x 의 제곱근	$g (x) = (x + 9 \sqrt{x}) e^{x}$
77454	Solve the Differential Equation	(8+x^12)(dy)/(dx)=(x^11)/y	$(8 + x^{12}) \frac{d y}{d x} = \frac{x^{11}}{y}$
77455	Solve the Differential Equation	(dy)/(dx)=(x^3+2)y^3	$\frac{d y}{d x} = (x^{3} + 2) y^{3}$
77456	Solve the Differential Equation	(dy)/(dx)=(2x)/y and y(1)=-3	$\frac{d y}{d x} = \frac{2 x}{y}$ and $y (1) = - 3$
77457	Solve the Differential Equation	y''''''''-y''''-2y=cosh(2x)	$y'''' - y'' - 2 y = \cosh (2 x)$
77458	Solve the Differential Equation	(dy)/(dt)=2t+3	$\frac{d y}{d t} = 2 t + 3$
77459	Solve the Differential Equation	x(yd)y=(1+y^2)dx	$x yd y = (1 + y^{2}) d x$
77460	Solve the Differential Equation	(dy)/(dx)=2x^(5/6)	$\frac{d y}{d x} = 2 x^{\frac{5}{6}}$
77461	Solve the Differential Equation	(dy)/(dx)=8x^7e^(-y)	$\frac{d y}{d x} = 8 x^{7} e^{- y}$
77462	Solve the Differential Equation	(du)/(dt)+6ut^2=t^2	$\frac{d u}{d t} + 6 u t^{2} = t^{2}$
77463	Solve the Differential Equation	(3x^2-2y+e^(x+y))dx+(e^(x+y)-2x+4)dy=0	$(3 x^{2} - 2 y + e^{x + y}) d x + (e^{x + y} - 2 x + 4) d y = 0$
77464	Solve the Differential Equation	e^ysin(2xdx)+cos(x)(e^(2y)-y)dy=0	$e^{y} \sin (2 x d x) + \cos (x) (e^{2 y} - y) d y = 0$
77465	Solve the Differential Equation	y''''=(y+1)/(x-1)	$y'' = \frac{y + 1}{x - 1}$
77466	Solve the Differential Equation	(dy)/(dx)+(2y)/x=3x^2	$\frac{d y}{d x} + \frac{2 y}{x} = 3 x^{2}$
77467	Solve the Differential Equation	(dr)/(ds)=0.8r	$\frac{d r}{d s} = 0.8 r$
77468	Solve the Differential Equation	(dy)/(dx)+y/x=2x	$\frac{d y}{d x} + \frac{y}{x} = 2 x$
77469	Solve the Differential Equation	e^x-cos(y)y''''=1	$e^{x} - \cos (y) y'' = 1$
77470	Solve the Differential Equation	(dy)/(dx)=0.2y	$\frac{d y}{d x} = 0.2 y$
77471	Solve the Differential Equation	p''''(t)=0.02p(t)	$p'' (t) = 0.02 p (t)$
77472	Solve the Differential Equation	(dy)/(dx)=x^(1/2)y^2 , y(16)=6	$\frac{d y}{d x} = x^{\frac{1}{2}} y^{2}$ , $y (16) = 6$
77473	Solve the Differential Equation	(dy)/(dx)=x^2 , y(0)=4	$\frac{d y}{d x} = x^{2}$ , $y (0) = 4$
77474	Solve the Differential Equation	xy''''=y+ xy 의 제곱근	$x y'' = y + \sqrt{x y}$
77475	Solve the Differential Equation	t(dx)/(dt)=6te^(2t)+x(2t-1)	$t \frac{d x}{d t} = 6 t e^{2 t} + x (2 t - 1)$
77476	Solve the Differential Equation	(ds)/(dt)=2t+cos(t) , s(0)=1	$\frac{d s}{d t} = 2 t + \cos (t)$ , $s (0) = 1$
77477	Solve the Differential Equation	2y''''+y=1	$2 y'' + y = 1$
77478	Solve the Differential Equation	(2xy+6x)dx+(x^2+4y^3)dy=0	$(2 x y + 6 x) d x + (x^{2} + 4 y^{3}) d y = 0$
77479	Solve the Differential Equation	(dy)/(dx)=1/5 제곱근 ycos( 제곱근 y)^2	$\frac{d y}{d x} = \frac{1}{5} \sqrt{y} \cos^{2} (\sqrt{y})$
77480	Solve the Differential Equation	(dr)/(dq)=2000/( 300q) 의 제곱근	$\frac{d r}{d q} = \frac{2000}{\sqrt{300 q}}$
77481	Solve the Differential Equation	f(x)=2x^3	$f (x) = 2 x^{3}$
77482	Solve the Differential Equation	y*(dy)/(dx)=x	$y \cdot \frac{d y}{d x} = x$
77483	Solve the Differential Equation	(dy)/(dx)=x/(y-4)	$\frac{d y}{d x} = \frac{x}{y - 4}$
77484	Solve the Differential Equation	y''''=xy^2+y^2	$y'' = x y^{2} + y^{2}$
77485	Solve the Differential Equation	1/y(dy)/(dt)=81/t	$\frac{1}{y} \cdot \frac{d y}{d t} = 8 \cdot \frac{1}{t}$
77486	Solve the Differential Equation	(dy)/(dt)=6x^-7	$\frac{d y}{d t} = 6 x^{- 7}$
77487	Solve the Differential Equation	(dy)/(dx)=6/(5x^3)-(3y)/x	$\frac{d y}{d x} = \frac{6}{5 x^{3}} - \frac{3 y}{x}$
77488	Solve the Differential Equation	2y''''''''-5y''''=0	$2 y'''' - 5 y'' = 0$
77489	Solve the Differential Equation	y''''-6y''''+25y=0	$y'' - 6 y'' + 25 y = 0$
77490	Solve the Differential Equation	y^2-3x(dy)/(dx)=6	$y^{2} - 3 x \frac{d y}{d x} = 6$
77491	Solve the Differential Equation	(dy)/(dx)=(y-1)(x+y)	$\frac{d y}{d x} = (y - 1) (x + y)$
77492	Solve the Differential Equation	(dy)/(dt)=100-y	$\frac{d y}{d t} = 100 - y$
77493	Solve the Differential Equation	(dy)/(dx)+7e^(x+y)=0	$\frac{d y}{d x} + 7 e^{x + y} = 0$
77494	Solve the Differential Equation	y''''=2-1/(x^2)	$y'' = 2 - \frac{1}{x^{2}}$
77495	Solve the Differential Equation	(dy)/(dx)=7x^(1/9)	$\frac{d y}{d x} = 7 x^{\frac{1}{9}}$
77496	Solve the Differential Equation	(3x+y-15)dx+(6x+2y-5)dy=0	$(3 x + y - 15) d x + (6 x + 2 y - 5) d y = 0$
77497	Solve the Differential Equation	(dy)/(dx)=8x-5	$\frac{d y}{d x} = 8 x - 5$
77498	Solve the Differential Equation	y''''''''=y''''+x	$y'''' = y'' + x$
77499	Solve the Differential Equation	(dp)/(dz)=-1/xp	$\frac{d p}{d z} = - \frac{1}{x} p$
77500	Solve the Differential Equation	(dx)/(1+x^2)+(dy)/( 1-y^2)=0 의 제곱근	$\frac{d x}{1 + x^{2}} + \frac{d y}{\sqrt{1 - y^{2}}} = 0$