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인기 문제

순위	주제	문제	형식화된 문제
74401	Solve the Differential Equation	11x-6y x^2+1(dy)/(dx)=0 의 제곱근	$11 x - 6 y \sqrt{x^{2} + 1} \frac{d y}{d x} = 0$
74402	Solve the Differential Equation	(dy)/(dx)=3yx	$\frac{d y}{d x} = 3 y x$
74403	Solve the Differential Equation	(dy)/(dx)=sin(x+y)+cos(x+y)	$\frac{d y}{d x} = \sin (x + y) + \cos (x + y)$
74404	Solve the Differential Equation	(dy)/(dx)=y^3xe^(x^2) , y(0)=1	$\frac{d y}{d x} = y^{3} x e^{x^{2}}$ , $y (0) = 1$
74405	Solve the Differential Equation	(dy)/(dx)=3x+2y+1	$\frac{d y}{d x} = 3 x + 2 y + 1$
74406	Solve the Differential Equation	(dy^2)/(dx^2)-5(dy)/(dx)+6=0	$\frac{d y^{2}}{d x^{2}} - 5 \frac{d y}{d x} + 6 = 0$
74407	Solve the Differential Equation	(dy)/(dt)=-6y , y(0)=4	$\frac{d y}{d t} = - 6 y$ , $y (0) = 4$
74408	Solve the Differential Equation	(dy)/(dx)=5 x+2 의 제곱근	$\frac{d y}{d x} = 5 \sqrt{x + 2}$
74409	Solve the Differential Equation	x(dy)/(dx)=y+xcos(y/x)^2	$x \frac{d y}{d x} = y + x \cos^{2} (\frac{y}{x})$
74410	Solve the Differential Equation	(dy)/(dx)+(2y)/x=x^2y^2sin(x)	$\frac{d y}{d x} + \frac{2 y}{x} = x^{2} y^{2} \sin (x)$
74411	Solve the Differential Equation	(dy)/(dx)=e^(2x-5y)	$\frac{d y}{d x} = e^{2 x - 5 y}$
74412	Solve the Differential Equation	y^2y''''=6x	$y^{2} y'' = 6 x$
74413	Solve the Differential Equation	f(x)=x^4+1/(x^4)	$f (x) = x^{4} + \frac{1}{x^{4}}$
74414	Solve the Differential Equation	2(7)(24)+2(24)(dy)/(dt)=0	$2 (7) (24) + 2 (24) \frac{d y}{d t} = 0$
74415	Solve the Differential Equation	(dy)/(dx) = square root of 1+x^2	$\frac{d y}{d x} = \sqrt{1 + x^{2}}$
74416	Solve the Differential Equation	xy^2y''''=x+10	$x y^{2} y'' = x + 10$
74417	Solve the Differential Equation	x(dy)/(dx)-y = square root of x^2+y^2	$x \frac{d y}{d x} - y = \sqrt{x^{2} + y^{2}}$
74418	Solve the Differential Equation	1+(x/y-sin(y))y''''=0	$1 + (\frac{x}{y} - \sin (y)) y'' = 0$
74419	Solve the Differential Equation	(x+4y^3)dy-(yd)x=0	$(x + 4 y^{3}) d y - yd x = 0$
74420	Solve the Differential Equation	(dy)/(dt)=3t^2+1	$\frac{d y}{d t} = 3 t^{2} + 1$
74421	Solve the Differential Equation	(d^2y)/(dx^2)=y	$\frac{d^{2} y}{d x^{2}} = y$
74422	Solve the Differential Equation	(dA)/(dt)=10A	$\frac{d A}{d t} = 10 A$
74423	Solve the Differential Equation	7y(dy)/(dx)=3x^2	$7 y \frac{d y}{d x} = 3 x^{2}$
74424	Solve the Differential Equation	(x^2+9)y''''+xy=0	$(x^{2} + 9) y'' + x y = 0$
74425	Solve the Differential Equation	x^2=y^2(dy)/(dx)	$x^{2} = y^{2} \frac{d y}{d x}$
74426	Solve the Differential Equation	2x-y(dy)/(dx)=3	$2 x - y \frac{d y}{d x} = 3$
74427	Solve the Differential Equation	x(dy)/(dx)=2y-1	$x \frac{d y}{d x} = 2 y - 1$
74428	Solve the Differential Equation	(dy)/(dx)=(11x^2)/(2y)	$\frac{d y}{d x} = \frac{11 x^{2}}{2 y}$
74429	Solve the Differential Equation	y''''-4y''''+8y=0	$y'' - 4 y'' + 8 y = 0$
74430	Solve the Differential Equation	y''''=0.2y	$y'' = 0.2 y$
74431	Solve the Differential Equation	(d^2y)/(dx^2)+6(dy)/(dx)+13y=0	$\frac{d^{2} y}{d x^{2}} + 6 \frac{d y}{d x} + 13 y = 0$
74432	Solve the Differential Equation	x(yd)x=(1+x^2)dy	$x yd x = (1 + x^{2}) d y$
74433	Solve the Differential Equation	(dy)/(dx)=2x+4y	$\frac{d y}{d x} = 2 x + 4 y$
74434	Solve the Differential Equation	(dA)/(dt)=-8A	$\frac{d A}{d t} = - 8 A$
74435	Solve the Differential Equation	(dy)/(dx)=2xy+3y	$\frac{d y}{d x} = 2 x y + 3 y$
74436	Solve the Differential Equation	sin(3xdx)+2ycos(3xdy)^3=0	$\sin (3 x d x) + 2 y \cos^{3} (3 x d y) = 0$
74437	Solve the Differential Equation	1.45=1/(2 64)(dx)/(dt) 의 제곱근	$1.45 = \frac{1}{2 \sqrt{64}} \cdot \frac{d x}{d t}$
74438	Solve the Differential Equation	(dy)/(dx)=y/(x+2)	$\frac{d y}{d x} = \frac{y}{x + 2}$
74439	Solve the Differential Equation	(dA)/(dt)=0.0365A	$\frac{d A}{d t} = 0.0365 A$
74440	Solve the Differential Equation	y''''=(10x+3)(7y+2)	$y'' = (10 x + 3) (7 y + 2)$
74441	Solve the Differential Equation	2x(yd)x+(x^2+2y)dy=0	$2 x yd x + (x^{2} + 2 y) d y = 0$
74442	Solve the Differential Equation	x(yd)y-(x+2)dy=0	$x yd y - (x + 2) d y = 0$
74443	Solve the Differential Equation	Solve x(dy)/(dx)=y^2+1 and find the particular solution when y(1)=1	Solve $x \frac{d y}{d x} = y^{2} + 1$ and find the particular solution when $y (1) = 1$
74444	Solve the Differential Equation	y''''+5y''''=0	$y'' + 5 y'' = 0$
74445	Solve the Differential Equation	1-7x^2y''''=x 의 제곱근	$\sqrt{1 - 7 x^{2}} y'' = x$
74446	Solve the Differential Equation	(dy)/(dx)=(7x^6)/(8e^y)	$\frac{d y}{d x} = \frac{7 x^{6}}{8 e^{y}}$
74447	Solve the Differential Equation	y''''+3y''''+2y=1/(1+e^x)	$y'' + 3 y'' + 2 y = \frac{1}{1 + e^{x}}$
74448	Solve the Differential Equation	(dy)/(dx)=2x^-2	$\frac{d y}{d x} = 2 x^{- 2}$
74449	Solve the Differential Equation	(dy)/(dx)=(2x)/(e^y)	$\frac{d y}{d x} = \frac{2 x}{e^{y}}$
74450	Solve the Differential Equation	y''''-y=2x-3	$y'' - y = 2 x - 3$
74451	Solve the Differential Equation	(dy)/(dx)-1/xy=xy^2	$\frac{d y}{d x} - \frac{1}{x} y = x y^{2}$
74452	Solve the Differential Equation	(dy)/(dx)=x^6 y 의 제곱근	$\frac{d y}{d x} = x^{6} \sqrt{y}$
74453	Solve the Differential Equation	(dy)/(dx)=e^(y/x)+y/x	$\frac{d y}{d x} = e^{\frac{y}{x}} + \frac{y}{x}$
74454	Solve the Differential Equation	f(x)=x^3e^(4x)	$f (x) = x^{3} e^{4 x}$
74455	Solve the Differential Equation	(dy)/(dt)+2ty=t	$\frac{d y}{d t} + 2 t y = t$
74456	Solve the Differential Equation	2y''''-5y''''=0	$2 y'' - 5 y'' = 0$
74457	Solve the Differential Equation	(dy)/(dx)=y-21	$\frac{d y}{d x} = y - 21$
74458	Solve the Differential Equation	(de)/(dt)=30-8t	$\frac{d e}{d t} = 30 - 8 t$
74459	Solve the Differential Equation	(dy)/(dx)=3y^2	$\frac{d y}{d x} = 3 y^{2}$
74460	Solve the Differential Equation	(dy)/(dx)=6 x-5x 의 제곱근	$\frac{d y}{d x} = 6 \sqrt{x} - 5 x$
74461	Solve the Differential Equation	(dtheta)/(dt)=2e^(3t-2theta)	$\frac{d θ}{d t} = 2 e^{3 t - 2 θ}$
74462	Solve the Differential Equation	(dy)/(dx)=(x-8)/x	$\frac{d y}{d x} = \frac{x - 8}{x}$
74463	Solve the Differential Equation	(dy)/(dx)=2.4-1/60y	$\frac{d y}{d x} = 2.4 - \frac{1}{60} y$
74464	Solve the Differential Equation	2xdx+2(yd)y=0	$2 x d x + 2 yd y = 0$
74465	Solve the Differential Equation	(dz)/(dt)=-2e^(t+z)	$\frac{d z}{d t} = - 2 e^{t + z}$
74466	Solve the Differential Equation	(dy)/(dx)=-21x	$\frac{d y}{d x} = - 21 x$
74467	Solve the Differential Equation	y''''''''+y=sec(x)tan(x)	$y'''' + y = \sec (x) \tan (x)$
74468	Solve the Differential Equation	y''''y^2-y^3=-216	$y'' y^{2} - y^{3} = - 216$
74469	Solve the Differential Equation	y''''''''+xy=0	$y'''' + x y = 0$
74470	Solve the Differential Equation	y''''=x+2y	$y'' = x + 2 y$
74471	Solve the Differential Equation	xy^3dy=(x^4+y^4)dx	$x y^{3} d y = (x^{4} + y^{4}) d x$
74472	Solve the Differential Equation	(dv)/(dt)+2v=0	$\frac{d v}{d t} + 2 v = 0$
74473	Solve the Differential Equation	(cos(x)cos(y)+2x)dx-(sin(x)sin(y)+2y)dy=0	$(\cos (x) \cos (y) + 2 x) d x - (\sin (x) \sin (y) + 2 y) d y = 0$
74474	Solve the Differential Equation	e^(x+y)(dy)/(dx)=x	$e^{x + y} \frac{d y}{d x} = x$
74475	Solve the Differential Equation	(dy)/(dx)=-(2y)/x	$\frac{d y}{d x} = - \frac{2 y}{x}$
74476	Solve the Differential Equation	(1+x^2)(dy)/(dx)=x^4y^4	$(1 + x^{2}) \frac{d y}{d x} = x^{4} y^{4}$
74477	Solve the Differential Equation	(dy)/(dx)+5y=20	$\frac{d y}{d x} + 5 y = 20$
74478	Solve the Differential Equation	y''''=3e^x-3y	$y'' = 3 e^{x} - 3 y$
74479	Solve the Differential Equation	x(yd)y+(y^2-1)dx=0	$x yd y + (y^{2} - 1) d x = 0$
74480	Solve the Differential Equation	(dy)/(dx)=1/(x^2+1)	$\frac{d y}{d x} = \frac{1}{x^{2} + 1}$
74481	Solve the Differential Equation	(ds)/(dt)=cos(t)-sin(t) , s(pi/2)=10	$\frac{d s}{d t} = \cos (t) - \sin (t)$ , $s (\frac{π}{2}) = 10$
74482	Solve the Differential Equation	(dy)/(dx)=6e^(3x)+1	$\frac{d y}{d x} = 6 e^{3 x} + 1$
74483	Solve the Differential Equation	(dy)/(dx)-y=1 , y(0)=1	$\frac{d y}{d x} - y = 1$ , $y (0) = 1$
74484	Solve the Differential Equation	7y(dy)/(dx)=9x^2	$7 y \frac{d y}{d x} = 9 x^{2}$
74485	Solve the Differential Equation	(dy)/(dt)=20-0.4y	$\frac{d y}{d t} = 20 - 0.4 y$
74486	Solve the Differential Equation	(dy)/(dx)=1/( 4-x^2) 의 제곱근	$\frac{d y}{d x} = \frac{1}{\sqrt{4 - x^{2}}}$
74487	Solve the Differential Equation	x(yd)y-(x^2+3y^2)dy=0	$x yd y - (x^{2} + 3 y^{2}) d y = 0$
74488	Solve the Differential Equation	(dy)/(dx)=x/(3y)	$\frac{d y}{d x} = \frac{x}{3 y}$
74489	Solve the Differential Equation	(dy)/(dx)=e^x+cos(x)	$\frac{d y}{d x} = e^{x} + \cos (x)$
74490	Solve the Differential Equation	(dy)/(dt)=(te^t)/(y 8+y^2) 의 제곱근	$\frac{d y}{d t} = \frac{t e^{t}}{y \sqrt{8 + y^{2}}}$
74491	Solve the Differential Equation	y''''+xe^(x^2-y)=0	$y'' + x e^{x^{2} - y} = 0$
74492	Solve the Differential Equation	(dy)/(dx)=(y-x+1)/(y-x-6)	$\frac{d y}{d x} = \frac{y - x + 1}{y - x - 6}$
74493	Solve the Differential Equation	(df)/(dx)=16x+(9x)/( 16-x^2) 의 제곱근	$\frac{d f}{d x} = 16 x + \frac{9 x}{\sqrt{16 - x^{2}}}$
74494	Solve the Differential Equation	(dy)/(dx)=9x^2	$\frac{d y}{d x} = 9 x^{2}$
74495	Solve the Differential Equation	제곱근 x(dy)/(dx)=e^(8y+ 제곱근 x)	$\sqrt{x} \frac{d y}{d x} = e^{8 y + \sqrt{x}}$
74496	Solve the Differential Equation	y''''=(4x)/y	$y'' = \frac{4 x}{y}$
74497	Solve the Differential Equation	(dy)/(dt)=yt^3-1.5y	$\frac{d y}{d t} = y t^{3} - 1.5 y$
74498	Solve the Differential Equation	tan(ydx)+(x+1)dy=0	$\tan (yd x) + (x + 1) d y = 0$
74499	Solve the Differential Equation	(dy)/(dx)=5x^2	$\frac{d y}{d x} = 5 x^{2}$
74500	Solve the Differential Equation	xy^2dx+(1+x^2y)dy=0	$x y^{2} d x + (1 + x^{2} y) d y = 0$