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인기 문제

순위	주제	문제	형식화된 문제
78601	Solve the Differential Equation	(d^2y)/(dx^2)=pi	$\frac{d^{2} y}{d x^{2}} = π$
78602	Solve the Differential Equation	y''''=y-2x	$y'' = y - 2 x$
78603	Solve the Differential Equation	xy((dy)/(dx))=1+y^2	$x y (\frac{d y}{d x}) = 1 + y^{2}$
78604	Solve the Differential Equation	3x(yd)x-(3x^2+9y^2)dy=0	$3 x yd x - (3 x^{2} + 9 y^{2}) d y = 0$
78605	Solve the Differential Equation	(3+3y+3y^2)dx+(x+2xy)dy=0	$(3 + 3 y + 3 y^{2}) d x + (x + 2 x y) d y = 0$
78606	Solve the Differential Equation	(dy)/(dx)=-x-y	$\frac{d y}{d x} = - x - y$
78607	Solve the Differential Equation	x^2y''''''''-6y=0	$x^{2} y'''' - 6 y = 0$
78608	Solve the Differential Equation	(2x-2y)dx+(y-1)dy=0	$(2 x - 2 y) d x + (y - 1) d y = 0$
78609	Solve the Differential Equation	2y-(2x-y)(dy)/(dx)=0	$2 y - (2 x - y) \frac{d y}{d x} = 0$
78610	Solve the Differential Equation	ty''''''''-y''''=t^2	$t y'''' - y'' = t^{2}$
78611	Solve the Differential Equation	(x^2+3y^2)dx+(3x^2+y^2)dy=0	$(x^{2} + 3 y^{2}) d x + (3 x^{2} + y^{2}) d y = 0$
78612	Solve the Differential Equation	(dy)/(dx)=3x^2+5	$\frac{d y}{d x} = 3 x^{2} + 5$
78613	Solve the Differential Equation	x(dy)/(dx)=y+xsin(y/x)tan(y/x)	$x \frac{d y}{d x} = y + x \sin (\frac{y}{x}) \tan (\frac{y}{x})$
78614	Solve the Differential Equation	y''''+2y''''+4y=0	$y'' + 2 y'' + 4 y = 0$
78615	Solve the Differential Equation	(dx)/(dt)=2e^t-7 ; , x(0)=4	$\frac{d x}{d t} = 2 e^{t} - 7$ ; , $x (0) = 4$
78616	Solve the Differential Equation	(dy)/(dt)=0.04y+8000	$\frac{d y}{d t} = 0.04 y + 8000$
78617	Solve the Differential Equation	(ds)/(dt)=7t+cos(t) , s(0)=2	$\frac{d s}{d t} = 7 t + \cos (t)$ , $s (0) = 2$
78618	Solve the Differential Equation	t(dy)/(dt)+2y=3	$t \frac{d y}{d t} + 2 y = 3$
78619	Solve the Differential Equation	y''''+3/xy=6x^2	$y'' + \frac{3}{x} y = 6 x^{2}$
78620	Solve the Differential Equation	y''''+4y=8x^2	$y'' + 4 y = 8 x^{2}$
78621	Solve the Differential Equation	3y''''+2y''''=0	$3 y'' + 2 y'' = 0$
78622	Solve the Differential Equation	1/(2(3-x))(d^2y)/(dx^2)+1/(2x)(dy)/(dx)+1/(x(3-x))y=0	$\frac{1}{2 (3 - x)} \cdot \frac{d^{2} y}{d x^{2}} + \frac{1}{2 x} \cdot \frac{d y}{d x} + \frac{1}{x (3 - x)} y = 0$
78623	Solve the Differential Equation	y''''y=1	$y'' y = 1$
78624	Solve the Differential Equation	(dy)/(dx)=8x^3y^2	$\frac{d y}{d x} = 8 x^{3} y^{2}$
78625	Solve the Differential Equation	(dy)/(dx)=8x^2y-6xy	$\frac{d y}{d x} = 8 x^{2} y - 6 x y$
78626	Solve the Differential Equation	xy''''-3y=x^4	$x y'' - 3 y = x^{4}$
78627	Solve the Differential Equation	(dy)/(dx)=y/x+xsin(y/x)	$\frac{d y}{d x} = \frac{y}{x} + x \sin (\frac{y}{x})$
78628	Solve the Differential Equation	(dy)/(dx)=3cos(6x)	$\frac{d y}{d x} = 3 \cos (6 x)$
78629	Solve the Differential Equation	xe^(x^2)dx+(y^5-1)dy=0	$x e^{x^{2}} d x + (y^{5} - 1) d y = 0$
78630	Solve the Differential Equation	xy''''''''-4y''''=x^4	$x y'''' - 4 y'' = x^{4}$
78631	Solve the Differential Equation	y''''=y^2-7	$y'' = y^{2} - 7$
78632	Solve the Differential Equation	(cos(x)cos(y)-cot(x))dx-sin(x)sin(ydy)^2=0	$(\cos (x) \cos (y) - \cot (x)) d x - \sin (x) \sin^{2} (yd y) = 0$
78633	Solve the Differential Equation	(dy)/(dx)=sin(x) , y(pi)=2	$\frac{d y}{d x} = \sin (x)$ , $y (π) = 2$
78634	Solve the Differential Equation	(dy)/(dx)=4x^(3/7)	$\frac{d y}{d x} = 4 x^{\frac{3}{7}}$
78635	Solve the Differential Equation	(dv)/(dx)=1-2v	$\frac{d v}{d x} = 1 - 2 v$
78636	Solve the Differential Equation	(1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)+x=0	$(1 + x^{2}) \frac{d^{2} y}{d x^{2}} + x \frac{d y}{d x} + x = 0$
78637	Solve the Differential Equation	(dy)/(dx)=(3x)/(e^y)	$\frac{d y}{d x} = \frac{3 x}{e^{y}}$
78638	Solve the Differential Equation	(dy)/(dx)=(3x+2)^3 , y(0)=1	$\frac{d y}{d x} = {(3 x + 2)}^{3}$ , $y (0) = 1$
78639	Solve the Differential Equation	y''''=(xy^3)/36	$y'' = \frac{x y^{3}}{36}$
78640	Solve the Differential Equation	(dy)/(dx)=9xy^(1/2)	$\frac{d y}{d x} = 9 x y^{\frac{1}{2}}$
78641	Solve the Differential Equation	xy''''''''+2y''''=12x^2	$x y'''' + 2 y'' = 12 x^{2}$
78642	Solve the Differential Equation	x(dy)/(dx)+y=sin(x)	$x \frac{d y}{d x} + y = \sin (x)$
78643	Solve the Differential Equation	(dy)/(dx)=2x^(5/8)	$\frac{d y}{d x} = 2 x^{\frac{5}{8}}$
78644	Solve the Differential Equation	y''''''''''''-y''''''''+y''''-y=xe^x-e^(-x)+7	$y'''''' - y'''' + y'' - y = x e^{x} - e^{- x} + 7$
78645	Solve the Differential Equation	(x-y)dx+(x-y)dy=0	$(x - y) d x + (x - y) d y = 0$
78646	Solve the Differential Equation	(dy)/(dtheta)+e^(y-theta)=3e^(y-theta)	$\frac{d y}{d θ} + e^{y - θ} = 3 e^{y - θ}$
78647	Solve the Differential Equation	(dy)/(dx)=(sin(x))/(y+6)	$\frac{d y}{d x} = \frac{\sin (x)}{y + 6}$
78648	Solve the Differential Equation	(x-y^2)dx+2x(yd)y=0	$(x - y^{2}) d x + 2 x yd y = 0$
78649	Solve the Differential Equation	(dy)/(dx)=(3x^2+1)/(2y)	$\frac{d y}{d x} = \frac{3 x^{2} + 1}{2 y}$
78650	Solve the Differential Equation	(dy)/(dx)=(5x^4)/(7e^y)	$\frac{d y}{d x} = \frac{5 x^{4}}{7 e^{y}}$
78651	Solve the Differential Equation	(dy)/(dx)=6x-5 and y(8)=0	$\frac{d y}{d x} = 6 x - 5$ and $y (8) = 0$
78652	Solve the Differential Equation	((y^2)/x+1)+(2y+1/x)y''''=0	$(\frac{y^{2}}{x} + 1) + (2 y + \frac{1}{x}) y'' = 0$
78653	Solve the Differential Equation	(dy)/(dx)=2x(e^(-y))	$\frac{d y}{d x} = 2 x (e^{- y})$
78654	Solve the Differential Equation	x(dy)/(dx)-6y=x	$x \frac{d y}{d x} - 6 y = x$
78655	Solve the Differential Equation	ydy=(dx)/( 1-x^2) 의 제곱근	$yd y = \frac{d x}{\sqrt{1 - x^{2}}}$
78656	Solve the Differential Equation	(dy)/(dx)-y^4=2x^3y^k	$\frac{d y}{d x} - y^{4} = 2 x^{3} y^{k}$
78657	Solve the Differential Equation	(dy)/(dx)+y/x=y^9	$\frac{d y}{d x} + \frac{y}{x} = y^{9}$
78658	Solve the Differential Equation	(xy)dx-(x+2)dy=0	$(x y) d x - (x + 2) d y = 0$
78659	Solve the Differential Equation	(dy)/(dx)+xe^(-(x^2)/2)=0	$\frac{d y}{d x} + x e^{- \frac{x^{2}}{2}} = 0$
78660	Solve the Differential Equation	(dA)/(dt)=2A	$\frac{d A}{d t} = 2 A$
78661	Solve the Differential Equation	e^(x+y)sin(xdx)+(2y+1)e^(-y^2)dy=0	$e^{x + y} \sin (x d x) + (2 y + 1) e^{- y^{2}} d y = 0$
78662	Solve the Differential Equation	(x^2+xy)dx-y^2dy=0	$(x^{2} + x y) d x - y^{2} d y = 0$
78663	Solve the Differential Equation	tan(ydx)+(x+1)dy=0	$\tan (yd x) + (x + 1) d y = 0$
78664	Solve the Differential Equation	(dy)/(dx)+3x^2y^2=4x^3y^2	$\frac{d y}{d x} + 3 x^{2} y^{2} = 4 x^{3} y^{2}$
78665	Solve the Differential Equation	(dy)/(dx)=(x^2-1)/(y^2+1)	$\frac{d y}{d x} = \frac{x^{2} - 1}{y^{2} + 1}$
78666	Solve the Differential Equation	(dy)/(dx)(x 로그 x)+y=2 로그 x	$\frac{d y}{d x} (x \log (x)) + y = 2 \log (x)$
78667	Solve the Differential Equation	(dy)/(dx)=(x^3+y^3)/(xy^3)	$\frac{d y}{d x} = \frac{x^{3} + y^{3}}{x y^{3}}$
78668	Solve the Differential Equation	(4+e^(2x))y''''=y	$(4 + e^{2 x}) y'' = y$
78669	Solve the Differential Equation	(dy)/(dx) = natural log of xy	$\frac{d y}{d x} = \ln (x y)$
78670	Solve the Differential Equation	(dy)/(dx)=(x-6)/x	$\frac{d y}{d x} = \frac{x - 6}{x}$
78671	Solve the Differential Equation	x^2+y^2dx+xdy=0 의 제곱근	$\sqrt{x^{2} + y^{2}} d x + x d y = 0$
78672	Solve the Differential Equation	(dr)/(dt)=60/(t^2)	$\frac{d r}{d t} = \frac{60}{t^{2}}$
78673	Solve the Differential Equation	P/x 의 (dp)/(dx)=23제곱근	$\frac{d p}{d x} = \sqrt[23]{\frac{P}{x}}$
78674	Solve the Differential Equation	xdx- 제곱근 1-x^4dy=x^2 제곱근 1-x^4dy	$x d x - \sqrt{1 - x^{4}} d y = x^{2} \sqrt{1 - x^{4}} d y$
78675	Solve the Differential Equation	y(dy)/(dx)=x^2-2x	$y \frac{d y}{d x} = x^{2} - 2 x$
78676	Solve the Differential Equation	f(x)=2^70	$f (x) = 2^{70}$
78677	Solve the Differential Equation	(dy)/(dx)=9x^(1/7)	$\frac{d y}{d x} = 9 x^{\frac{1}{7}}$
78678	Solve the Differential Equation	(dy)/(dt)+3y=2	$\frac{d y}{d t} + 3 y = 2$
78679	Solve the Differential Equation	(ds)/(dt)=2t+cos(t) , s(0)=-2	$\frac{d s}{d t} = 2 t + \cos (t)$ , $s (0) = - 2$
78680	Solve the Differential Equation	Solve the differential equation: x(dy)/(dx)+y=(x^2+3x)e^(2/3x)	Solve the differential equation: $x \frac{d y}{d x} + y = (x^{2} + 3 x) e^{\frac{2}{3} x}$
78681	Solve the Differential Equation	(dT)/(dt)+0.069T=2.07	$\frac{d T}{d t} + 0.069 T = 2.07$
78682	Solve the Differential Equation	Solution of differential equation x(yd)y-(x^2+2)dx=0	Solution of differential equation $x yd y - (x^{2} + 2) d x = 0$
78683	Solve the Differential Equation	(x^2-1)y''''''''-4xy''''-2y=0	$(x^{2} - 1) y'''' - 4 x y'' - 2 y = 0$
78684	Solve the Differential Equation	(2y^2-x^3)dx+3xy^2dy=0	$(2 y^{2} - x^{3}) d x + 3 x y^{2} d y = 0$
78685	Solve the Differential Equation	4(yd)x+3xdy=0	$4 yd x + 3 x d y = 0$
78686	Solve the Differential Equation	y''''=2x^3	$y'' = 2 x^{3}$
78687	Solve the Differential Equation	(dy)/(dt)=36+6t+6y+ty	$\frac{d y}{d t} = 36 + 6 t + 6 y + t y$
78688	Solve the Differential Equation	x^2y''''-5xy''''+8y=10x	$x^{2} y'' - 5 x y'' + 8 y = 10 x$
78689	Solve the Differential Equation	y''''(t)=3(y-5)	$y'' (t) = 3 (y - 5)$
78690	Solve the Differential Equation	10xyy''''=1-y^2	$10 x y y'' = 1 - y^{2}$
78691	Solve the Differential Equation	(dy)/(dx)+8y=2x^3y^(3/4)	$\frac{d y}{d x} + 8 y = 2 x^{3} y^{\frac{3}{4}}$
78692	Solve the Differential Equation	(3y^2+2xy+2x)dx+(6xy+x^2+3)dy=0	$(3 y^{2} + 2 x y + 2 x) d x + (6 x y + x^{2} + 3) d y = 0$
78693	Solve the Differential Equation	(dy)/(dx)-(3y)/x=e^xx^3	$\frac{d y}{d x} - \frac{3 y}{x} = e^{x} x^{3}$
78694	Solve the Differential Equation	(4x-y)dx+(6y-x)dy=0	$(4 x - y) d x + (6 y - x) d y = 0$
78695	Solve the Differential Equation	(1+x)y''''+y=0	$(1 + x) y'' + y = 0$
78696	Solve the Differential Equation	y''''+4y=xsin(x)	$y'' + 4 y = x \sin (x)$
78697	Solve the Differential Equation	w''''''''+2xw''''=0	$w'''' + 2 \cdot x \cdot w'' = 0$
78698	Solve the Differential Equation	xdx-4(yd)y=0	$x d x - 4 yd y = 0$
78699	Solve the Differential Equation	(dy)/(dx)=(x-2)/x	$\frac{d y}{d x} = \frac{(x - 2)}{x}$
78700	Solve the Differential Equation	f(x)=4cos(3x)-3sin(4x)	$f (x) = 4 \cos (3 x) - 3 \sin (4 x)$