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인기 문제

순위	주제	문제	형식화된 문제
77501	Solve the Differential Equation	(dr)/(dt)=-2tr	$\frac{d r}{d t} = - 2 t r$
77502	Solve the Differential Equation	(dy)/(dx)=(y+ x)/x 의 자연로그	$\frac{d y}{d x} = \frac{y + \ln (x)}{x}$
77503	Solve the Differential Equation	(dy)/(dx)-y/x=x/y	$\frac{d y}{d x} - \frac{y}{x} = \frac{x}{y}$
77504	Solve the Differential Equation	y''''-y=1/x	$y'' - y = \frac{1}{x}$
77505	Solve the Differential Equation	(dy)/(dx)=(e^x-e^(-x))^2	$\frac{d y}{d x} = {(e^{x} - e^{- x})}^{2}$
77506	Solve the Differential Equation	(dy)/(dx)=6x^2y-4xy	$\frac{d y}{d x} = 6 x^{2} y - 4 x y$
77507	Solve the Differential Equation	y''''+5xy=x	$y'' + 5 x y = x$
77508	Solve the Differential Equation	(dy)/(dx)+(1/x)y=6x+2	$\frac{d y}{d x} + (\frac{1}{x}) y = 6 x + 2$
77509	Verify the Differential Equation Solution	(dy)/(dx)=2x-5 , y(1)=-2	$\frac{d y}{d x} = 2 x - 5$ , $y (1) = - 2$
77510	Solve the Differential Equation	x^2y''''-3xy-2y^2=0	$x^{2} y'' - 3 x y - 2 y^{2} = 0$
77511	Solve the Differential Equation	(d^3y)/(dx^3)+3(d^2y)/(dx^2)-(dy)/(dx)=0	$\frac{d^{3} y}{d x^{3}} + 3 \frac{d^{2} y}{d x^{2}} - \frac{d y}{d x} = 0$
77512	Solve the Differential Equation	y''''=(x+xy^2)/(4y)	$y'' = \frac{x + x y^{2}}{4 y}$
77513	Solve the Differential Equation	y^2dy-(x^2+(y^3)/x)dx=0	$y^{2} d y - (x^{2} + \frac{y^{3}}{x}) d x = 0$
77514	Solve the Differential Equation	(dy)/(dx)=4/(x-6) and y(7)=-2 ?	$\frac{d y}{d x} = \frac{4}{x - 6}$ and $y (7) = - 2$ ?
77515	Solve the Differential Equation	(1+x^2)dy=x(yd)x	$(1 + x^{2}) d y = x yd x$
77516	Solve the Differential Equation	(dc)/(dx)=0	$\frac{d c}{d x} = 0$
77517	Solve the Differential Equation	dy+y1/xdx+(cos(x))/xdx=0	$d y + y \frac{1}{x} d x + \frac{\cos (x)}{x} d x = 0$
77518	Solve the Differential Equation	(dy)/(dx)=(3x+2y)/x	$\frac{d y}{d x} = \frac{3 x + 2 y}{x}$
77519	Solve the Differential Equation	sin(xdx)+ydy=0	$\sin (x d x) + yd y = 0$
77520	Solve the Differential Equation	f(x)=x x-x 의 자연로그	$f (x) = x \ln (x) - x$
77521	Solve the Differential Equation	(dy)/(dx)=(3x-5)/y	$\frac{d y}{d x} = \frac{3 x - 5}{y}$
77522	Solve the Differential Equation	(dy)/(dx)+y/x=4	$\frac{d y}{d x} + \frac{y}{x} = 4$
77523	Solve the Differential Equation	(du)/(dx)=7x^6-4x^3+5	$\frac{d u}{d x} = 7 x^{6} - 4 x^{3} + 5$
77524	Solve the Differential Equation	(dy)/(dx)=6y^2x , y(1)=1/25	$\frac{d y}{d x} = 6 y^{2} x$ , $y (1) = \frac{1}{25}$
77525	Solve the Differential Equation	y''''=(1+y)sec(x)+tan(x)	$y'' = (1 + y) \sec (x) + \tan (x)$
77526	Solve the Differential Equation	(dy)/(dx)=1cos(x)	$\frac{d y}{d x} = 1 \cos (x)$
77527	Solve the Differential Equation	(dy)/(dx)=-0.3y , y(0)=70	$\frac{d y}{d x} = - 0.3 y$ , $y (0) = 70$
77528	Solve the Differential Equation	(1+y^2)dx=x(yd)y	$(1 + y^{2}) d x = x yd y$
77529	Solve the Differential Equation	y''''''''-2y''''=6	$y'''' - 2 y'' = 6$
77530	Solve the Differential Equation	(e^(2x)y^2-2x)dx+e^(2x)(yd)y=0	$(e^{2 x} y^{2} - 2 x) d x + e^{2 x} yd y = 0$
77531	Solve the Differential Equation	(dr)/(dtheta)=-pisin(pitheta)	$\frac{d r}{d θ} = - π \sin (π θ)$
77532	Solve the Differential Equation	(dy)/(dx) of y=x^3	$\frac{d y}{d x}$ of $y = x^{3}$
77533	Solve the Differential Equation	xy''''+y=4 x 의 제곱근	$x y'' + y = 4 \sqrt{x}$
77534	Solve the Differential Equation	(dy)/(dx)=3x^2y^3	$\frac{d y}{d x} = 3 x^{2} y^{3}$
77535	Solve the Differential Equation	(d^2y)/(dx^2)+2(dy)/(dx)+2y=0	$\frac{d^{2} y}{d x^{2}} + 2 \frac{d y}{d x} + 2 y = 0$
77536	Solve the Differential Equation	(2x+3)dx+(3x+2y)dy=0	$(2 x + 3) d x + (3 x + 2 y) d y = 0$
77537	Solve the Differential Equation	(x^2y^3+y+x-2)dx+(x^3y^2+x)dy=0	$(x^{2} y^{3} + y + x - 2) d x + (x^{3} y^{2} + x) d y = 0$
77538	Solve the Differential Equation	(dy)/(dx)=e^yx^2	$\frac{d y}{d x} = e^{y} x^{2}$
77539	Solve the Differential Equation	x^2y''''+xy+2=0	$x^{2} y'' + x y + 2 = 0$
77540	Solve the Differential Equation	y''''-2y=3	$y'' - 2 y = 3$
77541	Solve the Differential Equation	(dy)/(dt)=y^2sin(t)	$\frac{d y}{d t} = y^{2} \sin (t)$
77542	Solve the Differential Equation	yx^2dy-2x^2dy=y^3dx	$y x^{2} d y - 2 x^{2} d y = y^{3} d x$
77543	Solve the Differential Equation	(dI)/(dt)+5I=10 , I(0)=0	$\frac{d I}{d t} + 5 I = 10$ , $I (0) = 0$
77544	Solve the Differential Equation	(dy)/(dx)=(5x^2)/(3y)	$\frac{d y}{d x} = \frac{5 x^{2}}{3 y}$
77545	Solve the Differential Equation	(dy)/(dx)=(xy-y+x-1)/(x^2-4)	$\frac{d y}{d x} = \frac{x y - y + x - 1}{x^{2} - 4}$
77546	Solve the Differential Equation	e^ydx+(cos(y)+xe^y)dy=0	$e^{y} d x + (\cos (y) + x e^{y}) d y = 0$
77547	Solve the Differential Equation	y''''''''-2y''''+y=(e^x)/x	$y'''' - 2 y'' + y = \frac{e^{x}}{x}$
77548	Solve the Differential Equation	y''''''''=y	$y'''' = y$
77549	Solve the Differential Equation	x^2(dy)/(dx)=xy+x^2+y^2	$x^{2} \frac{d y}{d x} = x y + x^{2} + y^{2}$
77550	Solve the Differential Equation	2xdy+3(yd)x=0	$2 x d y + 3 yd x = 0$
77551	Solve the Differential Equation	y''''-(tan(x))y=x^2	$y'' - (\tan (x)) y = x^{2}$
77552	Solve the Differential Equation	(dr)/(dtheta)=-rtan(theta) , r(pi)=2	$\frac{d r}{d θ} = - r \tan (θ)$ , $r (π) = 2$
77553	Solve the Differential Equation	-1/3v''''+(1/(2x))v=x/2	$- \frac{1}{3} v'' + (\frac{1}{2 x}) v = \frac{x}{2}$
77554	Solve the Differential Equation	(dy)/(dx)=1-xy+y^2	$\frac{d y}{d x} = 1 - x y + y^{2}$
77555	Solve the Differential Equation	(dy)/(dx)=(sin(x))/(y+2)	$\frac{d y}{d x} = \frac{\sin (x)}{y + 2}$
77556	Solve the Differential Equation	y''''''''-4y''''+4y=e^(2x)	$y'''' - 4 y'' + 4 y = e^{2 x}$
77557	Solve the Differential Equation	f(x)=arctan(x+3x^2)	$f (x) = \arctan (x + 3 x^{2})$
77558	Solve the Differential Equation	y''''+sin(y)^2=0	$y'' + \sin^{2} (y) = 0$
77559	Solve the Differential Equation	(dy)/(dx)=xe^(-x)	$\frac{d y}{d x} = x e^{- x}$
77560	Solve the Differential Equation	(dy)/(dx)=(9x^8)/(18y)	$\frac{d y}{d x} = \frac{9 x^{8}}{18 y}$
77561	Solve the Differential Equation	x^2*(dy)/(dx)+37xy=7x-47	$x^{2} \cdot \frac{d y}{d x} + 37 x y = 7 x - 47$
77562	Solve the Differential Equation	2(yd)y-4xdx=0	$2 yd y - 4 x d x = 0$
77563	Solve the Differential Equation	(x+y)dx+x xdy=0 의 자연로그	$(x + y) d x + x \ln (x d y) = 0$
77564	Solve the Differential Equation	(3dy)/(dx)-18x=-6xy	$\frac{3 d y}{d x} - 18 x = - 6 x y$
77565	Solve the Differential Equation	y''''-3y''''+2y=9e^x	$y'' - 3 y'' + 2 y = 9 e^{x}$
77566	Solve the Differential Equation	(dy)/(dt)=t^2-y	$\frac{d y}{d t} = t^{2} - y$
77567	Solve the Differential Equation	(d^2x)/(dt^2)+4(dx)/(dt)+5x=10	$\frac{d^{2} x}{d t^{2}} + 4 \frac{d x}{d t} + 5 x = 10$
77568	Solve the Differential Equation	x''''''''-4x=0	$x'''' - 4 x = 0$
77569	Solve the Differential Equation	x*(dy)/(dx)+y=x^4 x 의 자연로그	$x \cdot \frac{d y}{d x} + y = x^{4} \ln (x)$
77570	Solve the Differential Equation	(d^2y)/(dx^2)-6(dy)/(dx)+9y=6x^2+2-12e^(3x)	$\frac{d^{2} y}{d x^{2}} - 6 \frac{d y}{d x} + 9 y = 6 x^{2} + 2 - 12 e^{3 x}$
77571	Solve the Differential Equation	(dy)/(dx)=e^(x+2)(2-y)^2	$\frac{d y}{d x} = e^{x + 2} {(2 - y)}^{2}$
77572	Solve the Differential Equation	(dy)/(dx)=2/(cos(y))	$\frac{d y}{d x} = \frac{2}{\cos (y)}$
77573	Solve the Differential Equation	(dy)/(dx)=(7+x)(3+y)	$\frac{d y}{d x} = (7 + x) (3 + y)$
77574	Solve the Differential Equation	(1+x^2)(dy)/(dx)=-xy	$(1 + x^{2}) \frac{d y}{d x} = - x y$
77575	Solve the Differential Equation	(dy)/(dx)=(x^2+5)/(2y-1) , y(0)=11	$\frac{d y}{d x} = \frac{x^{2} + 5}{2 y - 1}$ , $y (0) = 11$
77576	Solve the Differential Equation	3e^xtan(ydx)+(2-e^x)sec(ydy)^2=0	$3 e^{x} \tan (yd x) + (2 - e^{x}) \sec^{2} (yd y) = 0$
77577	Solve the Differential Equation	(dy)/(dx)+(1/x)y=3x+4	$\frac{d y}{d x} + (\frac{1}{x}) y = 3 x + 4$
77578	Solve the Differential Equation	(dy)/(dx)+3xy=sin(x)	$\frac{d y}{d x} + 3 x y = \sin (x)$
77579	Solve the Differential Equation	(dy)/(dx)=3x^2-1 ; when y(0)=4	$\frac{d y}{d x} = 3 x^{2} - 1$ ; when $y (0) = 4$
77580	Solve the Differential Equation	2(dy)/(dx)+4y=6e^(-x) , y(0)=6	$2 \frac{d y}{d x} + 4 y = 6 e^{- x}$ , $y (0) = 6$
77581	Solve the Differential Equation	(x+y)dx+(x+3/y)dy=0	$(x + y) d x + (x + \frac{3}{y}) d y = 0$
77582	Solve the Differential Equation	(dy)/(dx)=-0.7y , y(0)=50	$\frac{d y}{d x} = - 0.7 y$ , $y (0) = 50$
77583	Solve the Differential Equation	(dy)/(dx)=(12x^2)/( 2+x^3) 의 제곱근	$\frac{d y}{d x} = \frac{12 x^{2}}{\sqrt{2 + x^{3}}}$
77584	Solve the Differential Equation	f(x)=e^4	$f (x) = e^{4}$
77585	Solve the Differential Equation	(dy)/(dx)=(5y+4)/(9x+8)	$\frac{d y}{d x} = \frac{5 y + 4}{9 x + 8}$
77586	Solve the Differential Equation	(t^2+s^2)dt-2stds=0	$(t^{2} + s^{2}) d t - 2 s t d s = 0$
77587	Solve the Differential Equation	(xdy)/(dx)=4y	$\frac{x d y}{d x} = 4 y$
77588	Solve the Differential Equation	y''''''''+y=9sin(x)	$y'''' + y = 9 \sin (x)$
77589	Solve the Differential Equation	(dy)/(dx)-3y=1	$\frac{d y}{d x} - 3 y = 1$
77590	Solve the Differential Equation	(1+x)(dx)/(dy)-xy=x+x^2	$(1 + x) \frac{d x}{d y} - x y = x + x^{2}$
77591	Solve the Differential Equation	(tan(x)-sin(x)sin(y))dx+(cos(x)cos(y))dy=0	$(\tan (x) - \sin (x) \sin (y)) d x + (\cos (x) \cos (y)) d y = 0$
77592	Solve the Differential Equation	y''''''''-2y''''-y=0	$y'''' - 2 y'' - y = 0$
77593	Solve the Differential Equation	(dy)/(dx)=15x^2-4x	$\frac{d y}{d x} = 15 x^{2} - 4 x$
77594	Solve the Differential Equation	2(dy)/(dx)=3 xy 의 제곱근	$2 \frac{d y}{d x} = 3 \sqrt{x y}$
77595	Solve the Differential Equation	(3+x^12)(dy)/(dx)=(x^11)/y	$(3 + x^{12}) \frac{d y}{d x} = \frac{x^{11}}{y}$
77596	Solve the Differential Equation	(dy)/(dx)=-0.1y , y(0)=90	$\frac{d y}{d x} = - 0.1 y$ , $y (0) = 90$
77597	Solve the Differential Equation	y''''=6x^2-3x+9	$y'' = 6 x^{2} - 3 x + 9$
77598	Solve the Differential Equation	y'''' = square root of x	$y'' = \sqrt{x}$
77599	Solve the Differential Equation	(dy)/(dx)+(3y)/x+2=3x	$\frac{d y}{d x} + \frac{3 y}{x} + 2 = 3 x$
77600	Solve the Differential Equation	(ds)/(dt)=3t+cos(t) , s(0)=4	$\frac{d s}{d t} = 3 t + \cos (t)$ , $s (0) = 4$