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인기 문제

순위	주제	문제	형식화된 문제
75501	Solve the Differential Equation	((3y)/x-8)dx+3dy=0	$(\frac{3 y}{x} - 8) d x + 3 d y = 0$
75502	Solve the Differential Equation	x^2(dy)/(dx)=(xy-y)/x-x	$x^{2} \frac{d y}{d x} = \frac{x y - y}{x} - x$
75503	Solve the Differential Equation	(dy)/(dt)=2y+1	$\frac{d y}{d t} = 2 y + 1$
75504	Solve the Differential Equation	(dy)/(dx)=-sin(x)-cos(x)	$\frac{d y}{d x} = - \sin (x) - \cos (x)$
75505	Solve the Differential Equation	(dx)/(dt)+tx^3+x/t=0	$\frac{d x}{d t} + t x^{3} + \frac{x}{t} = 0$
75506	Solve the Differential Equation	sin(3x)dx+2ycos(3x)^3dy=0	$\sin (3 x) d x + 2 y \cos^{3} (3 x) d y = 0$
75507	Solve the Differential Equation	(y-4x-1)^2dx-dy=0	${(y - 4 x - 1)}^{2} d x - d y = 0$
75508	Solve the Differential Equation	(dy)/(dx)+4y=6sin(6x)	$\frac{d y}{d x} + 4 y = 6 \sin (6 x)$
75509	Solve the Differential Equation	(dy)/(dx)+y/x=1/(x^2)	$\frac{d y}{d x} + \frac{y}{x} = \frac{1}{x^{2}}$
75510	Solve the Differential Equation	y^2dx+(2xy+cos(y))dy=0	$y^{2} d x + (2 x y + \cos (y)) d y = 0$
75511	Solve the Differential Equation	(x+3y)-xy''''=0	$(x + 3 y) - x y'' = 0$
75512	Solve the Differential Equation	(dy)/(dx)=(x^2)/y , y(0)=3	$\frac{d y}{d x} = \frac{x^{2}}{y}$ , $y (0) = 3$
75513	Solve the Differential Equation	(xy+y)dx=(x^2y^2+x^2+y^2+1)dy	$(x y + y) d x = (x^{2} y^{2} + x^{2} + y^{2} + 1) d y$
75514	Solve the Differential Equation	y''''=e^xy^2+y^2	$y'' = e^{x} y^{2} + y^{2}$
75515	Solve the Differential Equation	t^2(dy)/(dx)+y^2=ty	$t^{2} \frac{d y}{d x} + y^{2} = t y$
75516	Solve the Differential Equation	(cos(x)+ y)dx+(x/y+e^y)dy=0 의 자연로그	$(\cos (x) + \ln (y)) d x + (\frac{x}{y} + e^{y}) d y = 0$
75517	Solve the Differential Equation	dy+5(yd)x=5e^(-5x)dx	$d y + 5 yd x = 5 e^{- 5 x} d x$
75518	Solve the Differential Equation	(dy)/(dx)=3-2y	$\frac{d y}{d x} = 3 - 2 y$
75519	Solve the Differential Equation	xy(dy)/(dx)=(1+x^2)(1+y^2)	$x y \frac{d y}{d x} = (1 + x^{2}) (1 + y^{2})$
75520	Solve the Differential Equation	y''''=3(y+1)	$y'' = 3 (y + 1)$
75521	Solve the Differential Equation	y''''=20-5y	$y'' = 20 - 5 y$
75522	Solve the Differential Equation	(v+t)dv+(v-t)dt=0	$(v + t) d v + (v - t) d t = 0$
75523	Solve the Differential Equation	(dy)/(dx) = square root of x+25	$\frac{d y}{d x} = \sqrt{x + 25}$
75524	Solve the Differential Equation	y''''''''-1/(x^2)=0	$y'''' - \frac{1}{x^{2}} = 0$
75525	Solve the Differential Equation	(x^2+1)(dy)/(dx)=y^2+1	$(x^{2} + 1) \frac{d y}{d x} = y^{2} + 1$
75526	Solve the Differential Equation	2(dy)/(dx)=(10+4sin(t))y	$2 \frac{d y}{d x} = (10 + 4 \sin (t)) y$
75527	Solve the Differential Equation	(d^2y)/(dx^2)=72x^2	$\frac{d^{2} y}{d x^{2}} = 72 x^{2}$
75528	Solve the Differential Equation	xdy+ydx-x(yd)x=0	$x d y + yd x - x yd x = 0$
75529	Solve the Differential Equation	(dy)/(dx)=x/( x^2+1) 의 제곱근	$\frac{d y}{d x} = \frac{x}{\sqrt{x^{2} + 1}}$
75530	Solve the Differential Equation	(dy)/(dx)=(e^x)/(e^y)	$\frac{d y}{d x} = \frac{e^{x}}{e^{y}}$
75531	Solve the Differential Equation	(1-x)y''''-4xy''''+5y=cos(x)	$(1 - x) y'' - 4 x y'' + 5 y = \cos (x)$
75532	Solve the Differential Equation	(dy)/(dx)=sin(x)^2	$\frac{d y}{d x} = \sin^{2} (x)$
75533	Solve the Differential Equation	(dy)/(dx)-y=x^2	$\frac{d y}{d x} - y = x^{2}$
75534	Solve the Differential Equation	(dy)/(dx)=7cos(x)sec(y)	$\frac{d y}{d x} = 7 \cos (x) \sec (y)$
75535	Solve the Differential Equation	(dy)/(dx)=3x+y	$\frac{d y}{d x} = 3 x + y$
75536	Solve the Differential Equation	(dy)/(dx)=(xsin(x))/y , y(0)=-1	$\frac{d y}{d x} = \frac{x \sin (x)}{y}$ , $y (0) = - 1$
75537	Solve the Differential Equation	y''''''''+9y''''=0	$y'''' + 9 y'' = 0$
75538	Solve the Differential Equation	(dy)/(dx)+4/xy=x	$\frac{d y}{d x} + \frac{4}{x} y = x$
75539	Solve the Differential Equation	y''''+y=3	$y'' + y = 3$
75540	Solve the Differential Equation	(x+y)dx+(x+y-4)dy=0	$(x + y) d x + (x + y - 4) d y = 0$
75541	Solve the Differential Equation	(dy)/(dx)=6e^(-3x+5)	$\frac{d y}{d x} = 6 e^{- 3 x + 5}$
75542	Solve the Differential Equation	(dy)/(dt)=5y	$\frac{d y}{d t} = 5 y$
75543	Solve the Differential Equation	(dx)/(dy)=2x	$\frac{d x}{d y} = 2 x$
75544	Solve the Differential Equation	4xy''''-y=x^3-10x	$4 x y'' - y = x^{3} - 10 x$
75545	Solve the Differential Equation	f(x) = log base 2 of tan(3x)	$f (x) = \log_{2} (\tan (3 x))$
75546	Solve the Differential Equation	(1+y^3)dx+xy^2dy=0	$(1 + y^{3}) d x + x y^{2} d y = 0$
75547	Solve the Differential Equation	e^xy''''+2e^xy=1	$e^{x} y'' + 2 e^{x} y = 1$
75548	Solve the Differential Equation	y''''=(x^2+4)(y^2-4)	$y'' = (x^{2} + 4) (y^{2} - 4)$
75549	Solve the Differential Equation	(dy)/(dt)=ky^(1+c)	$\frac{d y}{d t} = k y^{1 + c}$
75550	Solve the Differential Equation	2x(yd)x+(x^2+y^2)dy=0	$2 x yd x + (x^{2} + y^{2}) d y = 0$
75551	Solve the Differential Equation	3y''''+y''''x^3-6x^2y=0	$3 y'' + y'' x^{3} - 6 x^{2} y = 0$
75552	Solve the Differential Equation	(dy)/(dx)=(x^4+y^4)/(xy^3)	$\frac{d y}{d x} = \frac{x^{4} + y^{4}}{x y^{3}}$
75553	Solve the Differential Equation	(dy)/(dx)=x^5(y-5) , y(0)=8	$\frac{d y}{d x} = x^{5} (y - 5)$ , $y (0) = 8$
75554	Solve the Differential Equation	y''''''''''''+y''''=sec(x)	$y'''''' + y'' = \sec (x)$
75555	Solve the Differential Equation	(dy)/(dx)+y/x=2	$\frac{d y}{d x} + \frac{y}{x} = 2$
75556	Solve the Differential Equation	f(x)=\|x-2\|	$f (x) = \| x - 2 \|$
75557	Solve the Differential Equation	(dy)/(dx)=1/(x^3)	$\frac{d y}{d x} = \frac{1}{x^{3}}$
75558	Solve the Differential Equation	(dy)/(dx)=8x^(1/3)	$\frac{d y}{d x} = 8 x^{\frac{1}{3}}$
75559	Solve the Differential Equation	e^x(dy)/(dx)+3y=x^2y	$e^{x} \frac{d y}{d x} + 3 y = x^{2} y$
75560	Solve the Differential Equation	(dy)/(dt)=t+1	$\frac{d y}{d t} = t + 1$
75561	Solve the Differential Equation	(dy)/(dx)+(2y)/x=x-1	$\frac{d y}{d x} + \frac{2 y}{x} = x - 1$
75562	Solve the Differential Equation	(dy)/(dx)=x^2y^2+x^2	$\frac{d y}{d x} = x^{2} y^{2} + x^{2}$
75563	Solve the Differential Equation	(dy)/(dx)=(18-6x^2)/( x^3-9x+5) 의 제곱근	$\frac{d y}{d x} = \frac{18 - 6 x^{2}}{\sqrt{x^{3} - 9 x + 5}}$
75564	Solve the Differential Equation	(dy)/(dx)=(6x-x^3)/(2y)	$\frac{d y}{d x} = \frac{6 x - x^{3}}{2 y}$
75565	Solve the Differential Equation	(dy)/(dx)=y/(x^2+x)	$\frac{d y}{d x} = \frac{y}{(x^{2} + x)}$
75566	Solve the Differential Equation	(dy)/(dx)=e^(2x-1)y^2	$\frac{d y}{d x} = e^{2 x - 1} y^{2}$
75567	Solve the Differential Equation	xy(dy)/(dx)=2y^2+4x^2	$x y \frac{d y}{d x} = 2 y^{2} + 4 x^{2}$
75568	Solve the Differential Equation	x(dy)/(dx)+(3x+1)y=e^(3x)	$x \frac{d y}{d x} + (3 x + 1) y = e^{3 x}$
75569	Solve the Differential Equation	y''''-2y=t	$y'' - 2 y = t$
75570	Solve the Differential Equation	(dy)/(dx)=xe^(x+y)	$\frac{d y}{d x} = x e^{x + y}$
75571	Solve the Differential Equation	(x^4+2y^4)dx-xy^3dy=0	$(x^{4} + 2 y^{4}) d x - x y^{3} d y = 0$
75572	Solve the Differential Equation	y''''=x+xy	$y'' = x + x y$
75573	Solve the Differential Equation	(dy)/(dx)-4xy-8x=0	$\frac{d y}{d x} - 4 x y - 8 x = 0$
75574	Solve the Differential Equation	(dy)/(dx)=(x^3y^3-x^2y^3)/(x+xy^4)	$\frac{d y}{d x} = \frac{x^{3} y^{3} - x^{2} y^{3}}{x + x y^{4}}$
75575	Solve the Differential Equation	(d^2y)/(dx^2)+y=sec(x)	$\frac{d^{2} y}{d x^{2}} + y = \sec (x)$
75576	Solve the Differential Equation	(dy)/(dx)=-5sec(x-2)^2 , y(2)=-1	$\frac{d y}{d x} = - 5 \sec^{2} (x - 2)$ , $y (2) = - 1$
75577	Solve the Differential Equation	(dy)/(dx)=11-y	$\frac{d y}{d x} = 11 - y$
75578	Solve the Differential Equation	x(yd)y=y^2dx	$x yd y = y^{2} d x$
75579	Solve the Differential Equation	(d^2y)/(dx^2)=-4y	$\frac{d^{2} y}{d x^{2}} = - 4 y$
75580	Solve the Differential Equation	(dy)/(dx)=4x+3	$\frac{d y}{d x} = 4 x + 3$
75581	Solve the Differential Equation	y''''+ycot(x)=5e^(cos(x))	$y'' + y \cot (x) = 5 e^{\cos (x)}$
75582	Solve the Differential Equation	2x(yd)y+(x^2-y^2)dx=0	$2 x yd y + (x^{2} - y^{2}) d x = 0$
75583	Solve the Differential Equation	(dy)/(dx)=8x^(3/7)	$\frac{d y}{d x} = 8 x^{\frac{3}{7}}$
75584	Solve the Differential Equation	(dy)/(dx)+y=x , y(0)=4	$\frac{d y}{d x} + y = x$ , $y (0) = 4$
75585	Solve the Differential Equation	x(dy)/(dx)=(y-1)/(y+1)-y	$x \frac{d y}{d x} = \frac{y - 1}{y + 1} - y$
75586	Solve the Differential Equation	(dy)/(dx)=(6x)/(y-2)	$\frac{d y}{d x} = \frac{6 x}{y - 2}$
75587	Solve the Differential Equation	(dy)/(dt)=48t^7	$\frac{d y}{d t} = 48 t^{7}$
75588	Solve the Differential Equation	(dx)/(dt)=8-3x , x(0)=4	$\frac{d x}{d t} = 8 - 3 x$ , $x (0) = 4$
75589	Solve the Differential Equation	(dy)/(dx)=((1-3y)^2)/x	$\frac{d y}{d x} = \frac{{(1 - 3 y)}^{2}}{x}$
75590	Solve the Differential Equation	xdy-(yd)x = square root of xydx	$x d y - yd x = \sqrt{x y} d x$
75591	Solve the Differential Equation	(dy)/(dx)=8x^3y^3	$\frac{d y}{d x} = 8 x^{3} y^{3}$
75592	Solve the Differential Equation	((dy)/(dx)cos(x)^2)/(cos(x)^2)=sin(x)	$\frac{\frac{d y}{d x} \cos^{2} (x)}{\cos^{2} (x)} = \sin (x)$
75593	Solve the Differential Equation	(dy)/(dx)=(x^3+1)/y	$\frac{d y}{d x} = \frac{x^{3} + 1}{y}$
75594	Solve the Differential Equation	(dy)/(dx)=(2x)/(3e^y)	$\frac{d y}{d x} = \frac{2 x}{3 e^{y}}$
75595	Solve the Differential Equation	5y''''''''+y''''=-6x	$5 y'''' + y'' = - 6 x$
75596	Solve the Differential Equation	(dy)/(dx)=4/(1+x) , y(0)=1	$\frac{d y}{d x} = \frac{4}{1 + x}$ , $y (0) = 1$
75597	Solve the Differential Equation	(dy)/(dx)=y^2(2x+2)	$\frac{d y}{d x} = y^{2} (2 x + 2)$
75598	Solve the Differential Equation	y(x+9)+(dy)/(dx)=0	$y (x + 9) + \frac{d y}{d x} = 0$
75599	Solve the Differential Equation	(dF)/(dx)=4x+4e^x , F(0)=17	$\frac{d F}{d x} = 4 x + 4 e^{x}$ , $F (0) = 17$
75600	Solve the Differential Equation	(dy)/(dx)=6x^(5/6)	$\frac{d y}{d x} = 6 x^{\frac{5}{6}}$