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인기 문제

순위	주제	문제	형식화된 문제
75401	Solve the Differential Equation	(dy)/(dx)+(2/x)y=8x	$\frac{d y}{d x} + (\frac{2}{x}) y = 8 x$
75402	Solve the Differential Equation	(dy)/(dx)=1/(e^(4y)+2x)	$\frac{d y}{d x} = \frac{1}{e^{4 y} + 2 x}$
75403	Solve the Differential Equation	(dr)/(ds)=0.65r	$\frac{d r}{d s} = 0.65 r$
75404	Solve the Differential Equation	(dy)/(dx)+2xy=10x	$\frac{d y}{d x} + 2 x y = 10 x$
75405	Solve the Differential Equation	y((du)/(dx))+x(du)/(dy)=0	$y \cdot (\frac{d u}{d x}) + x \cdot \frac{d u}{d y} = 0$
75406	Solve the Differential Equation	2y-3x+3+(x+1)(dy)/(dx)=0	$2 y - 3 x + 3 + (x + 1) \frac{d y}{d x} = 0$
75407	Solve the Differential Equation	2y-x(dy)/(dx)=4x^3	$2 y - x \frac{d y}{d x} = 4 x^{3}$
75408	Solve the Differential Equation	(dy)/(dt)=6/7y	$\frac{d y}{d t} = \frac{6}{7} y$
75409	Solve the Differential Equation	y''''=2y^2	$y'' = 2 y^{2}$
75410	Solve the Differential Equation	(dy)/(dx)=-x^2y^3	$\frac{d y}{d x} = - x^{2} y^{3}$
75411	Solve the Differential Equation	(dy)/(dx)=(-20x^3+77y^3)/(77xy^2)	$\frac{d y}{d x} = \frac{- 20 x^{3} + 77 y^{3}}{77 x y^{2}}$
75412	Solve the Differential Equation	3x^2+6xy+(3x^2+2y)(dy)/(dx)=0	$3 x^{2} + 6 x y + (3 x^{2} + 2 y) \frac{d y}{d x} = 0$
75413	Solve the Differential Equation	(dy)/(dx)=26-y	$\frac{d y}{d x} = 26 - y$
75414	Solve the Differential Equation	(dy)/(dx)=1/(x-1)	$\frac{d y}{d x} = \frac{1}{x - 1}$
75415	Solve the Differential Equation	(dv)/(dt)=8/(1+t^2)+sec(t)^2 , v(0)=3	$\frac{d v}{d t} = \frac{8}{1 + t^{2}} + \sec^{2} (t)$ , $v (0) = 3$
75416	Solve the Differential Equation	(dy)/(dx)=(6-x^2)/(2y^3)	$\frac{d y}{d x} = \frac{6 - x^{2}}{2 y^{3}}$
75417	Solve the Differential Equation	(dy)/(dt)=yt^3-1.1y	$\frac{d y}{d t} = y t^{3} - 1.1 y$
75418	Solve the Differential Equation	2y''''+5y=0	$2 y'' + 5 y = 0$
75419	Solve the Differential Equation	(xdy)/(dx)+3y=x^2	$\frac{x d y}{d x} + 3 y = x^{2}$
75420	Solve the Differential Equation	(dy)/(dx)=4y^2sec(2x)^2	$\frac{d y}{d x} = 4 y^{2} \sec^{2} (2 x)$
75421	Solve the Differential Equation	x(dy)/(dx)-6y=x^2	$x \frac{d y}{d x} - 6 y = x^{2}$
75422	Solve the Differential Equation	xdy=cos(ydx)	$x d y = \cos (yd x)$
75423	Solve the Differential Equation	y''''''''-xy''''=e^(-x)	$y'''' - x y'' = e^{- x}$
75424	Solve the Differential Equation	y''''-2y=3e^(2x)	$y'' - 2 y = 3 e^{2 x}$
75425	Solve the Differential Equation	z+u((dz)/(du))=z/(1-z)	$z + u (\frac{d z}{d u}) = \frac{z}{1 - z}$
75426	Solve the Differential Equation	y''''=4e^(3x)e^(-2y)	$y'' = 4 e^{3 x} e^{- 2 y}$
75427	Solve the Differential Equation	(dy)/(dx)=-23x	$\frac{d y}{d x} = - 23 x$
75428	Solve the Differential Equation	(dy)/(dx)=2sin(x)+3cos(x)	$\frac{d y}{d x} = 2 \sin (x) + 3 \cos (x)$
75429	Solve the Differential Equation	(dy)/(dx)=(x-2)/y	$\frac{d y}{d x} = \frac{x - 2}{y}$
75430	Solve the Differential Equation	ydx+(x-xy+2)dy=0	$yd x + (x - x y + 2) d y = 0$
75431	Solve the Differential Equation	(dF)/(dx)=3e^x+2x , F(0)=18	$\frac{d F}{d x} = 3 e^{x} + 2 x$ , $F (0) = 18$
75432	Solve the Differential Equation	(dy)/(dx)=3 x 의 제곱근	$\frac{d y}{d x} = 3 \sqrt{x}$
75433	Solve the Differential Equation	(2y-2xy^3+4x+6)dx+(2x-3x^2y^2-1)dy=0	$(2 y - 2 x y^{3} + 4 x + 6) d x + (2 x - 3 x^{2} y^{2} - 1) d y = 0$
75434	Solve the Differential Equation	4xy''''''''+y''''=0	$4 x y'''' + y'' = 0$
75435	Solve the Differential Equation	(xcsc(y/x)-y)dx+xdy=0	$(x \csc (\frac{y}{x}) - y) d x + x d y = 0$
75436	Solve the Differential Equation	(2x+ycos(x))dx+sin(xdy)=0	$(2 x + y \cos (x)) d x + \sin (x d y) = 0$
75437	Solve the Differential Equation	xdx+(y-2)dy=0	$x d x + (y - 2) d y = 0$
75438	Solve the Differential Equation	(3x-1)(dy)/(dx)=6y-10(3x-1)^(1/3)	$(3 x - 1) \frac{d y}{d x} = 6 y - 10 {(3 x - 1)}^{\frac{1}{3}}$
75439	Solve the Differential Equation	(4+e^(2y))dx=xe^(2y)dy	$(4 + e^{2 y}) d x = x e^{2 y} d y$
75440	Solve the Differential Equation	r''''=1+q+r+qr	$r'' = 1 + q + r + q r$
75441	Solve the Differential Equation	(dy)/(dx)=5x+3	$\frac{d y}{d x} = 5 x + 3$
75442	Solve the Differential Equation	y''''+2y''''+3y=0	$y'' + 2 y'' + 3 y = 0$
75443	Solve the Differential Equation	(dQ)/(dt)+0.04Q=0	$\frac{d Q}{d t} + 0.04 Q = 0$
75444	Solve the Differential Equation	x(dx)/(dy)=4y	$x \frac{d x}{d y} = 4 y$
75445	Solve the Differential Equation	(dy)/(dx)=y^2(x+1)	$\frac{d y}{d x} = y^{2} (x + 1)$
75446	Solve the Differential Equation	(dy)/(dx)=( x)/y 의 제곱근	$\frac{d y}{d x} = \frac{\sqrt{x}}{y}$
75447	Solve the Differential Equation	(dy)/(dx)=4x^4 y 의 제곱근	$\frac{d y}{d x} = 4 x^{4} \sqrt{y}$
75448	Solve the Differential Equation	y''''=t^5	$y'' = t^{5}$
75449	Solve the Differential Equation	y''''''''-4y''''+y=0	$y'''' - 4 y'' + y = 0$
75450	Solve the Differential Equation	(dy)/(dx)=2/3x 1-9y^2 의 제곱근	$\frac{d y}{d x} = \frac{2}{3} x \sqrt{1 - 9 y^{2}}$
75451	Solve the Differential Equation	y''''=(3x^2+2x+1)/(y-2)	$y'' = \frac{3 x^{2} + 2 x + 1}{y - 2}$
75452	Solve the Differential Equation	xy^2y''''+y^3=xcos(x)	$x y^{2} y'' + y^{3} = x \cos (x)$
75453	Solve the Differential Equation	y''''=2x y-1 의 제곱근	$y'' = 2 x \sqrt{y - 1}$
75454	Solve the Differential Equation	y''''=(-2x)/y	$y'' = \frac{- 2 x}{y}$
75455	Solve the Differential Equation	(dr)/(ds)=0.45r	$\frac{d r}{d s} = 0.45 r$
75456	Solve the Differential Equation	y''''=((x-1)y^4)/(x^2(2y^2-1))	$y'' = \frac{(x - 1) y^{4}}{x^{2} (2 y^{2} - 1)}$
75457	Solve the Differential Equation	y''''''''''''-7y''''''''+14y''''-8y=0	$y'''''' - 7 y'''' + 14 y'' - 8 y = 0$
75458	Solve the Differential Equation	(3x^2y+xy^2)dx+(x^3+x^2y)dy=0	$(3 x^{2} y + x y^{2}) d x + (x^{3} + x^{2} y) d y = 0$
75459	Solve the Differential Equation	y''''''''+3y=-9	$y'''' + 3 y = - 9$
75460	Solve the Differential Equation	y''''-y=7e^x	$y'' - y = 7 e^{x}$
75461	Solve the Differential Equation	(dy)/(dt)-y=1	$\frac{d y}{d t} - y = 1$
75462	Solve the Differential Equation	(dy)/(dx)+y=y^4e^x	$\frac{d y}{d x} + y = y^{4} e^{x}$
75463	Solve the Differential Equation	(ve^u+2u)du+e^udv=0	$(v e^{u} + 2 u) d u + e^{u} d v = 0$
75464	Solve the Differential Equation	(dy)/(dx)=(3x+2)^-2	$\frac{d y}{d x} = {(3 x + 2)}^{- 2}$
75465	Solve the Differential Equation	y''''''''+49y=0	$y'''' + 49 y = 0$
75466	Solve the Differential Equation	(1+x^2)(dy)/(dx)+2xy=x	$(1 + x^{2}) \frac{d y}{d x} + 2 x y = x$
75467	Solve the Differential Equation	(dy)/(dx)+ytan(x)+y^3xsec(x)^2=0	$\frac{d y}{d x} + y \tan (x) + y^{3} x \sec^{2} (x) = 0$
75468	Solve the Differential Equation	y''''''''+y''''-2y=x^2	$y'''' + y'' - 2 y = x^{2}$
75469	Solve the Differential Equation	(dy)/(dx)=(3x^2+4x+2)/(2y-2)	$\frac{d y}{d x} = \frac{3 x^{2} + 4 x + 2}{2 y - 2}$
75470	Solve the Differential Equation	x(dy)/(dx)=2y+x^2	$x \frac{d y}{d x} = 2 y + x^{2}$
75471	Solve the Differential Equation	y''''''''+y''''+2y=0	$y'''' + y'' + 2 y = 0$
75472	Solve the Differential Equation	(dy)/(dx)=(x+7)/(y-7)	$\frac{d y}{d x} = \frac{x + 7}{y - 7}$
75473	Solve the Differential Equation	y''''-y=2te^(2t)	$y'' - y = 2 t e^{2 t}$
75474	Solve the Differential Equation	(y+sin(x))dy+(ycos(x)-2x)dx=0	$(y + \sin (x)) d y + (y \cos (x) - 2 x) d x = 0$
75475	Solve the Differential Equation	(dP)/(dt)=2900/(1+0.25t)	$\frac{d P}{d t} = \frac{2900}{1 + 0.25 t}$
75476	Solve the Differential Equation	(dy)/(dx)=6x^3 , y(0)=7	$\frac{d y}{d x} = 6 x^{3}$ , $y (0) = 7$
75477	Solve the Differential Equation	dx-e^(3x)dy=0	$d x - e^{3 x} d y = 0$
75478	Solve the Differential Equation	y''''-3y=x	$y'' - 3 y = x$
75479	Solve the Differential Equation	y''''=x/(3y)	$y'' = \frac{x}{3 y}$
75480	Solve the Differential Equation	(dy)/(dx)=cos(x-y)	$\frac{d y}{d x} = \cos (x - y)$
75481	Solve the Differential Equation	x(dy)/(dx)=7y	$x \frac{d y}{d x} = 7 y$
75482	Solve the Differential Equation	(dy)/(dt)=(te^t)/(y 7+y^2) 의 제곱근	$\frac{d y}{d t} = \frac{t e^{t}}{y \sqrt{7 + y^{2}}}$
75483	Solve the Differential Equation	(x^5+3y)dx-dy=0	$(x^{5} + 3 y) d x - d y = 0$
75484	Solve the Differential Equation	(dy)/(dx)=(4x+xy^2)/(2+x^2)	$\frac{d y}{d x} = \frac{4 x + x y^{2}}{2 + x^{2}}$
75485	Solve the Differential Equation	2(5)(24)+2(12)(dy)/(dt)=0	$2 (5) (24) + 2 (12) \frac{d y}{d t} = 0$
75486	Solve the Differential Equation	(dy)/(dt)=t y 의 제곱근	$\frac{d y}{d t} = t \sqrt{y}$
75487	Solve the Differential Equation	(dy)/(dx)=(x+y-1)^2	$\frac{d y}{d x} = {(x + y - 1)}^{2}$
75488	Solve the Differential Equation	f(x)=186.5	$f (x) = 186.5$
75489	Solve the Differential Equation	(dy)/(dx)=(x^2+y^2)/(3xy)	$\frac{d y}{d x} = \frac{x^{2} + y^{2}}{3 x y}$
75490	Solve the Differential Equation	(dy)/(dx)=(x+y-2)^2	$\frac{d y}{d x} = {(x + y - 2)}^{2}$
75491	Solve the Differential Equation	(dy)/(dx)=(x+8)/(y-8)	$\frac{d y}{d x} = \frac{x + 8}{y - 8}$
75492	Solve the Differential Equation	3y(dy)/(dx)=2x^2	$3 y \frac{d y}{d x} = 2 x^{2}$
75493	Solve the Differential Equation	xdy-(yd)x-(1-x^3)dx=0	$x d y - yd x - (1 - x^{3}) d x = 0$
75494	Solve the Differential Equation	e^(-3x-1) ydy-ye^xdx=0 의 자연로그	$e^{- 3 x - 1} \ln (yd y) - y e^{x} d x = 0$
75495	Solve the Differential Equation	(dy)/(dx)=(y(y-2))/(x(y-1))	$\frac{d y}{d x} = \frac{y (y - 2)}{x (y - 1)}$
75496	Solve the Differential Equation	((3y)/x-8)dx+3dy=0	$(\frac{3 y}{x} - 8) d x + 3 d y = 0$
75497	Solve the Differential Equation	x^2(dy)/(dx)=(xy-y)/x-x	$x^{2} \frac{d y}{d x} = \frac{x y - y}{x} - x$
75498	Solve the Differential Equation	(dy)/(dt)=2y+1	$\frac{d y}{d t} = 2 y + 1$
75499	Solve the Differential Equation	(dy)/(dx)=-sin(x)-cos(x)	$\frac{d y}{d x} = - \sin (x) - \cos (x)$
75500	Solve the Differential Equation	(dx)/(dt)+tx^3+x/t=0	$\frac{d x}{d t} + t x^{3} + \frac{x}{t} = 0$