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순위	주제	문제	형식화된 문제
76501	Solve the Differential Equation	44.4(dy)/(dt)=0	$44.4 \frac{d y}{d t} = 0$
76502	Solve the Differential Equation	(dy)/(dx)=1/(1-x^2)	$\frac{d y}{d x} = \frac{1}{1 - x^{2}}$
76503	Solve the Differential Equation	(e^x-y)dx+(e^y-x)dy=0	$(e^{x} - y) d x + (e^{y} - x) d y = 0$
76504	Solve the Differential Equation	y''''+y=cot(x)	$y'' + y = \cot (x)$
76505	Solve the Differential Equation	xy''''=y+ x^2+y^2 의 제곱근	$x y'' = y + \sqrt{x^{2} + y^{2}}$
76506	Solve the Differential Equation	(dy)/(dx)=10-y	$\frac{d y}{d x} = 10 - y$
76507	Solve the Differential Equation	(xdy)/(dx)=4y	$\frac{x d y}{d x} = 4 y$
76508	Solve the Differential Equation	(dy)/(dx)=(y^2(2x+2))/(x^2)	$\frac{d y}{d x} = \frac{y^{2} (2 x + 2)}{x^{2}}$
76509	Solve the Differential Equation	(dy)/(dx)=3+1/x , y(1)=8	$\frac{d y}{d x} = 3 + \frac{1}{x}$ , $y (1) = 8$
76510	Solve the Differential Equation	(dy)/(dx)=y^(2/3)	$\frac{d y}{d x} = y^{\frac{2}{3}}$
76511	Solve the Differential Equation	x^2y''''''''-2y=0	$x^{2} y'''' - 2 y = 0$
76512	Solve the Differential Equation	xy''''=2y+x^3e^x	$x y'' = 2 y + x^{3} e^{x}$
76513	Solve the Differential Equation	2(5)(0.6)+2(12)(dy)/(dt)=0	$2 (5) (0.6) + 2 (12) \frac{d y}{d t} = 0$
76514	Solve the Differential Equation	(dy)/(dx)=3x^(4/9)	$\frac{d y}{d x} = 3 x^{\frac{4}{9}}$
76515	Solve the Differential Equation	(dy)/(dx)=y(2x^2+4)	$\frac{d y}{d x} = y (2 x^{2} + 4)$
76516	Solve the Differential Equation	y''''-ay=0	$y'' - a y = 0$
76517	Solve the Differential Equation	2xvdv+(v^2-1)dx=0	$2 x v d v + (v^{2} - 1) d x = 0$
76518	Solve the Differential Equation	(x+y-1)dx+(2x+2y-3)dy=0	$(x + y - 1) d x + (2 x + 2 y - 3) d y = 0$
76519	Solve the Differential Equation	y''''=x/ye^(2x)+y	$y'' = \frac{x}{y} e^{2 x} + y$
76520	Solve the Differential Equation	dx+e^(-5x)dy=0	$d x + e^{- 5 x} d y = 0$
76521	Solve the Differential Equation	(x-yarctan(y/x))dx+xarctan(y/xdy)=0	$(x - y \arctan (\frac{y}{x})) d x + x \arctan (\frac{y}{x} d y) = 0$
76522	Solve the Differential Equation	(dy)/(dx)=(4(3-y))/((1-x)^2)	$\frac{d y}{d x} = \frac{4 (3 - y)}{{(1 - x)}^{2}}$
76523	Solve the Differential Equation	(dy)/(dt)-2y=0	$\frac{d y}{d t} - 2 y = 0$
76524	Solve the Differential Equation	x^3+14y(dy)/(dx)=0	$x^{3} + 14 y \frac{d y}{d x} = 0$
76525	Solve the Differential Equation	(t+zcos(t))dt+(sin(t)-3z^2+5)dz=0	$(t + z \cos (t)) d t + (\sin (t) - 3 z^{2} + 5) d z = 0$
76526	Solve the Differential Equation	y''''=2x^2-5	$y'' = 2 x^{2} - 5$
76527	Solve the Differential Equation	x(v^2-1)dv+(v^3-3v)dx=0	$x (v^{2} - 1) d v + (v^{3} - 3 v) d x = 0$
76528	Solve the Differential Equation	(x+y)dxdy=0	$(x + y) d x d y = 0$
76529	Solve the Differential Equation	2xdy=(x+y)dx	$2 x d y = (x + y) d x$
76530	Solve the Differential Equation	x(1-y^2)dx+y(1-x^2)dy=0	$x (1 - y^{2}) d x + y (1 - x^{2}) d y = 0$
76531	Solve the Differential Equation	(dy)/(dx)=9xy^2	$\frac{d y}{d x} = 9 x y^{2}$
76532	Solve the Differential Equation	y''''+xy=sin(x)	$y'' + x y = \sin (x)$
76533	Solve the Differential Equation	e^x(dy)/(dx)=y^2	$e^{x} \frac{d y}{d x} = y^{2}$
76534	Solve the Differential Equation	(dy)/(dx)=xcos(9x^2) , y(0)=12	$\frac{d y}{d x} = x \cos (9 x^{2})$ , $y (0) = 12$
76535	Solve the Differential Equation	(dy)/(dx)-y/x=3x^3	$\frac{d y}{d x} - \frac{y}{x} = 3 x^{3}$
76536	Solve the Differential Equation	(dy)/(dx)=y/(x+1)	$\frac{d y}{d x} = \frac{y}{x + 1}$
76537	Solve the Differential Equation	xy''''+y=xsin(x)	$x y'' + y = x \sin (x)$
76538	Solve the Differential Equation	(2x+y)dx+(x+y^2)dy=0	$(2 x + y) d x + (x + y^{2}) d y = 0$
76539	Solve the Differential Equation	x^2(dy)/(dx)+2xy=sin(x)	$x^{2} \frac{d y}{d x} + 2 x y = \sin (x)$
76540	Solve the Differential Equation	(ds)/(dt)=-3t+cos(t) , s(0)=-1	$\frac{d s}{d t} = - 3 t + \cos (t)$ , $s (0) = - 1$
76541	Solve the Differential Equation	(dy)/(dx)+7xe^y=0	$\frac{d y}{d x} + 7 x e^{y} = 0$
76542	Solve the Differential Equation	(dc)/(dt)=k/(t^b)(c_s-c)	$\frac{d c}{d t} = \frac{k}{t^{b}} (c_{s} - c)$
76543	Solve the Differential Equation	y^2(x+y+1)dx+xy(x+3y+2)dy=0	$y^{2} (x + y + 1) d x + x y (x + 3 y + 2) d y = 0$
76544	Solve the Differential Equation	y''''=(2xy)/(2x^2+y^2)	$y'' = \frac{2 x y}{2 x^{2} + y^{2}}$
76545	Solve the Differential Equation	(dy)/(dx)=y^2-(xy)^2 , y(3)=1	$\frac{d y}{d x} = y^{2} - {(x y)}^{2}$ , $y (3) = 1$
76546	Solve the Differential Equation	x(dy)/(dx)-y=y/x	$x \frac{d y}{d x} - y = \frac{y}{x}$
76547	Solve the Differential Equation	(dy)/(dx)=x^4 x^3 , y(0)=0 의 제곱근	$\frac{d y}{d x} = x^{4} \sqrt{x^{3}}$ , $y (0) = 0$
76548	Solve the Differential Equation	(dy)/(dx)=x^4(x^5-9)^2 , y(1)=5	$\frac{d y}{d x} = x^{4} {(x^{5} - 9)}^{2}$ , $y (1) = 5$
76549	Solve the Differential Equation	(dx)/(dy)=(y^2)/((1-x^2)^(1/2))	$\frac{d x}{d y} = \frac{y^{2}}{{(1 - x^{2})}^{\frac{1}{2}}}$
76550	Solve the Differential Equation	(dy)/(dx)+1=-y/x	$\frac{d y}{d x} + 1 = - \frac{y}{x}$
76551	Solve the Differential Equation	y''''=(x^2+x)/(y^2-y)	$y'' = \frac{x^{2} + x}{y^{2} - y}$
76552	Solve the Differential Equation	(x+1)(dy)/(dx)+y = natural log of \|x\| ; con y(1)=10	$(x + 1) \frac{d y}{d x} + y = \ln (\| x \|)$ ; con $y (1) = 10$
76553	Solve the Differential Equation	(xy-x)dx+(xy+y)dy=0	$(x y - x) d x + (x y + y) d y = 0$
76554	Solve the Differential Equation	(dx)/(dt)=sin(t)	$\frac{d x}{d t} = \sin (t)$
76555	Solve the Differential Equation	(dy)/(dx)=x^2+5	$\frac{d y}{d x} = x^{2} + 5$
76556	Solve the Differential Equation	(d^2y)/(dx^2)=x^2+x+1	$\frac{d^{2} y}{d x^{2}} = x^{2} + x + 1$
76557	Solve the Differential Equation	(y^2-2x)dx+(2xy+1)dy=0	$(y^{2} - 2 x) d x + (2 x y + 1) d y = 0$
76558	Solve the Differential Equation	sec(x)^2tan(ydx)+sec(y)^2tan(xdy)=0	$\sec^{2} (x) \tan (yd x) + \sec^{2} (y) \tan (x d y) = 0$
76559	Solve the Differential Equation	(dy)/(dx) = cube root of 3x-1	$\frac{d y}{d x} = \sqrt[3]{3 x - 1}$
76560	Solve the Differential Equation	y''''''''+9y=sec(3x)	$y'''' + 9 y = \sec (3 x)$
76561	Solve the Differential Equation	y''''''''-y+2x^2=0	$y'''' - y + 2 x^{2} = 0$
76562	Solve the Differential Equation	(dy)/(dx)=(x+1)e^(-x)y^2	$\frac{d y}{d x} = (x + 1) e^{- x} y^{2}$
76563	Solve the Differential Equation	(dy)/(dt)=2 t , y(1)=5 의 제곱근	$\frac{d y}{d t} = 2 \sqrt{t}$ , $y (1) = 5$
76564	Solve the Differential Equation	x(dy)/(dx)+3y=(sin(x))/(x^3)	$x \frac{d y}{d x} + 3 y = \frac{\sin (x)}{x^{3}}$
76565	Solve the Differential Equation	y''''=3*x-5	$y'' = 3 \cdot x - 5$
76566	Solve the Differential Equation	x^2y''''''''-3xy''''+3y=0	$x^{2} y'''' - 3 x y'' + 3 y = 0$
76567	Solve the Differential Equation	5y''''-15x^2=0	$5 y'' - 15 x^{2} = 0$
76568	Solve the Differential Equation	(1+x)dy=ydx	$(1 + x) d y = yd x$
76569	Solve the Differential Equation	y''''=8x^7	$y'' = 8 x^{7}$
76570	Solve the Differential Equation	(dy)/(dx)=6x^(6/7)	$\frac{d y}{d x} = 6 x^{\frac{6}{7}}$
76571	Solve the Differential Equation	(dy)/(dx)+2xy=e^(-x^2)	$\frac{d y}{d x} + 2 x y = e^{- x^{2}}$
76572	Solve the Differential Equation	(dy)/(dx)+2xy=x , y(0)=1	$\frac{d y}{d x} + 2 x y = x$ , $y (0) = 1$
76573	Solve the Differential Equation	(2x-3y+2)dx+3(4x-6y-1)dy=0	$(2 x - 3 y + 2) d x + 3 (4 x - 6 y - 1) d y = 0$
76574	Solve the Differential Equation	(x+1)(dy)/(dx)+(x+2)y=2e^(-x)	$(x + 1) \frac{d y}{d x} + (x + 2) y = 2 e^{- x}$
76575	Solve the Differential Equation	(dy)/(dx)-5y=x	$\frac{d y}{d x} - 5 y = x$
76576	Solve the Differential Equation	7y(dy)/(dx)=5x^2	$7 y \frac{d y}{d x} = 5 x^{2}$
76577	Solve the Differential Equation	(dy)/(dx)=(y^2)/(1+x)	$\frac{d y}{d x} = \frac{y^{2}}{1 + x}$
76578	Solve the Differential Equation	2x(y^2+1)dx+(x^4+1)dy=0	$2 x (y^{2} + 1) d x + (x^{4} + 1) d y = 0$
76579	Solve the Differential Equation	6(dy)/(dx)-2y=xy^4	$6 \frac{d y}{d x} - 2 y = x y^{4}$
76580	Solve the Differential Equation	(dA)/(dt)+A/100=6	$\frac{d A}{d t} + \frac{A}{100} = 6$
76581	Solve the Differential Equation	(dy)/(dx)-y/x=-xe^(-x)	$\frac{d y}{d x} - \frac{y}{x} = - x e^{- x}$
76582	Solve the Differential Equation	(dy)/(dt)-5/t*y=t^5	$\frac{d y}{d t} - \frac{5}{t} \cdot y = t^{5}$
76583	Solve the Differential Equation	4x^3-2(dy)/(dx)=0	$4 x^{3} - 2 \frac{d y}{d x} = 0$
76584	Solve the Differential Equation	(dy)/(dx)=1/(x^3)-x	$\frac{d y}{d x} = \frac{1}{x^{3}} - x$
76585	Solve the Differential Equation	(dy)/(dx)=-x/y ; , y(1)=2	$\frac{d y}{d x} = - \frac{x}{y}$ ; , $y (1) = 2$
76586	Solve the Differential Equation	y''''+3y''''=0	$y'' + 3 y'' = 0$
76587	Solve the Differential Equation	x^2*(d^2y)/(dx^2)-3x(dy)/(dx)=-4y	$x^{2} \cdot \frac{d^{2} y}{d x^{2}} - 3 x \frac{d y}{d x} = - 4 y$
76588	Solve the Differential Equation	(dy)/(dx)=x^3-3x^2+5	$\frac{d y}{d x} = x^{3} - 3 x^{2} + 5$
76589	Solve the Differential Equation	ydx+xdy+(y^3)/x(ydx-xdy)=0	$(yd x + x d y) + (\frac{y^{3}}{x}) (yd x - x d y) = 0$
76590	Solve the Differential Equation	dy=xdx	$d y = x d x$
76591	Solve the Differential Equation	(x^2+1)(dy)/(dx)+xy-x=0	$(x^{2} + 1) \frac{d y}{d x} + x y - x = 0$
76592	Solve the Differential Equation	2(8)(0.5)+2(6)(dy)/(dt)=0	$2 (8) (0.5) + 2 (6) \frac{d y}{d t} = 0$
76593	Solve the Differential Equation	(1+x)y''''=4y	$(1 + x) y'' = 4 y$
76594	Solve the Differential Equation	(dy)/(dx)=-7x^3y	$\frac{d y}{d x} = - 7 x^{3} y$
76595	Solve the Differential Equation	(x^2)/(y^2-5)(dy)/(dx)=1/(2y)	$\frac{x^{2}}{y^{2} - 5} \cdot \frac{d y}{d x} = \frac{1}{2 y}$
76596	Solve the Differential Equation	y''''-25/2y''''+6y=10e^x-4sin(x)	$y'' - \frac{25}{2} y'' + 6 y = 10 e^{x} - 4 \sin (x)$
76597	Solve the Differential Equation	(xy+y^2)dx+(x^2+3xy)dy=0	$(x y + y^{2}) d x + (x^{2} + 3 x y) d y = 0$
76598	Solve the Differential Equation	(dy)/(dx)=(x+y)/(2x)	$\frac{d y}{d x} = \frac{x + y}{2 x}$
76599	Solve the Differential Equation	dr=b(cos(thetadr)+rsin(thetadtheta))	$d r = b (\cos (θ d r) + r \sin (θ d θ))$
76600	Solve the Differential Equation	y''''''''+y=sin(4t)	$y'''' + y = \sin (4 t)$