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인기 문제

순위	주제	문제	형식화된 문제
76601	Solve the Differential Equation	(dy)/(dx)=2x^(4/7)	$\frac{d y}{d x} = 2 x^{\frac{4}{7}}$
76602	Solve the Differential Equation	y''''=1-1/(x^2)	$y'' = 1 - \frac{1}{x^{2}}$
76603	Solve the Differential Equation	y''''=x^2+y^2-1	$y'' = x^{2} + y^{2} - 1$
76604	Solve the Differential Equation	(dy)/(dx)=(6x^2)/y , y(-1)=-2	$\frac{d y}{d x} = \frac{6 x^{2}}{y}$ , $y (- 1) = - 2$
76605	Solve the Differential Equation	(dy)/(dx)=(64xy)^(1/3)	$\frac{d y}{d x} = {(64 x y)}^{\frac{1}{3}}$
76606	Solve the Differential Equation	(dy)/(dx)=1+x^2+y^2+x^2y^2	$\frac{d y}{d x} = 1 + x^{2} + y^{2} + x^{2} y^{2}$
76607	Solve the Differential Equation	(dy)/(dx)+(x^2+25)/(y^3-y^2)=0	$\frac{d y}{d x} + \frac{x^{2} + 25}{y^{3} - y^{2}} = 0$
76608	Solve the Differential Equation	(ds)/(dt)=-9t+cos(t) , s(0)=-1	$\frac{d s}{d t} = - 9 t + \cos (t)$ , $s (0) = - 1$
76609	Solve the Differential Equation	y^2y''''+2xy^3=6x	$y^{2} y'' + 2 x y^{3} = 6 x$
76610	Solve the Differential Equation	(dy)/(dx)=8 yx 의 제곱근	$\frac{d y}{d x} = 8 \sqrt{y x}$
76611	Solve the Differential Equation	y''''=2(3x+y)^2-1	$y'' = 2 {(3 x + y)}^{2} - 1$
76612	Solve the Differential Equation	f(x)=4x^2+6	$f (x) = 4 x^{2} + 6$
76613	Solve the Differential Equation	y''''+8y=0	$y'' + 8 y = 0$
76614	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(7x+1)	$x^{2} \frac{d w}{d x} = \sqrt{w} (7 x + 1)$
76615	Solve the Differential Equation	(dy)/(dx)=y(x^2+5)	$\frac{d y}{d x} = y (x^{2} + 5)$
76616	Solve the Differential Equation	y''''-y''''-2y=2e^3x	$y'' - y'' - 2 y = 2 e^{3} x$
76617	Solve the Differential Equation	f(x)=(2x-5)^3	$f (x) = {(2 x - 5)}^{3}$
76618	Solve the Differential Equation	y''''''''+5y''''+4y=12	$y'''' + 5 y'' + 4 y = 12$
76619	Solve the Differential Equation	x^6+4y(dy)/(dx)=0	$x^{6} + 4 y \frac{d y}{d x} = 0$
76620	Solve the Differential Equation	2y''''+6y''''=0	$2 y'' + 6 y'' = 0$
76621	Solve the Differential Equation	(dy)/(dx)+(3y)/x=x^2	$\frac{d y}{d x} + \frac{3 y}{x} = x^{2}$
76622	Solve the Differential Equation	(dy)/(dx)=x^2+y	$\frac{d y}{d x} = x^{2} + y$
76623	Solve the Differential Equation	(dy)/(dx)+7y=e^x	$\frac{d y}{d x} + 7 y = e^{x}$
76624	Solve the Differential Equation	(dQ)/(dt)+1/20Q=0	$\frac{d Q}{d t} + \frac{1}{20} Q = 0$
76625	Solve the Differential Equation	(dq)/(dt)+q=4cos(2t)	$\frac{d q}{d t} + q = 4 \cos (2 t)$
76626	Solve the Differential Equation	(dy)/(dx)+ysec(x)=tan(x)	$\frac{d y}{d x} + y \sec (x) = \tan (x)$
76627	Solve the Differential Equation	(dy)/(dx)=8x^3y	$\frac{d y}{d x} = 8 x^{3} y$
76628	Solve the Differential Equation	(dy)/(dx)=y-13	$\frac{d y}{d x} = y - 13$
76629	Solve the Differential Equation	(2f+x)/x=(df)/(dx)	$\frac{2 f + x}{x} = \frac{d f}{d x}$
76630	Solve the Differential Equation	y''''''''-6y''''+12y''''-8y=0	$y'''' - 6 y'' + 12 y'' - 8 y = 0$
76631	Solve the Differential Equation	x(dy)/(dx)+2y=(e^(2x))/x	$x \frac{d y}{d x} + 2 y = \frac{e^{2 x}}{x}$
76632	Solve the Differential Equation	(dy)/(dx)=(6x^2-y^2)/(2xy)	$\frac{d y}{d x} = \frac{6 x^{2} - y^{2}}{2 x y}$
76633	Solve the Differential Equation	y''''-y=6e^x	$y'' - y = 6 e^{x}$
76634	Solve the Differential Equation	(xy+9y^2)/(x^2)=(dy)/(dx)	$\frac{x y + 9 y^{2}}{x^{2}} = \frac{d y}{d x}$
76635	Solve the Differential Equation	(1+y^2)dx+(x^2-3x+2)dy=0	$(1 + y^{2}) d x + (x^{2} - 3 x + 2) d y = 0$
76636	Solve the Differential Equation	xdy-(1+y^2)dx=0	$x d y - (1 + y^{2}) d x = 0$
76637	Solve the Differential Equation	(x^2y+xy^2-y^3)dx+(xy^2-x^3)dy=0	$(x^{2} y + x y^{2} - y^{3}) d x + (x y^{2} - x^{3}) d y = 0$
76638	Solve the Differential Equation	(x+y)dx+(x-xy)dy=0	$(x + y) d x + (x - x y) d y = 0$
76639	Solve the Differential Equation	(dy)/(dx)=(y^2)/(xy+y^2)	$\frac{d y}{d x} = \frac{y^{2}}{x y + y^{2}}$
76640	Solve the Differential Equation	(x^2+y^2)dx=2x(yd)y	$(x^{2} + y^{2}) d x = 2 x yd y$
76641	Solve the Differential Equation	(df)/(dt)=4t+(7t)/( 25-t^2) 의 제곱근	$\frac{d f}{d t} = 4 t + \frac{7 t}{\sqrt{25 - t^{2}}}$
76642	Solve the Differential Equation	xy''''''''+2y''''=20x^2	$x y'''' + 2 y'' = 20 x^{2}$
76643	Solve the Differential Equation	(dy)/(dx)=(7x^6)/(4y)	$\frac{d y}{d x} = \frac{7 x^{6}}{4 y}$
76644	Solve the Differential Equation	(y-x^4)dx+(x+y^4)dy=0	$(y - x^{4}) d x + (x + y^{4}) d y = 0$
76645	Solve the Differential Equation	5x^2dx+7y^3dy=0	$5 x^{2} d x + 7 y^{3} d y = 0$
76646	Solve the Differential Equation	(d^2y)/(dx^2)+3(dy)/(dx)=3	$\frac{d^{2} y}{d x^{2}} + 3 \frac{d y}{d x} = 3$
76647	Solve the Differential Equation	(dy)/(dx)=-(x^2)/2+c	$\frac{d y}{d x} = - \frac{x^{2}}{2} + c$
76648	Solve the Differential Equation	(dA)/(dt)=-kA	$\frac{d A}{d t} = - k A$
76649	Solve the Differential Equation	(x+2y-1)dx-(2x+4y-3)dy=0	$(x + 2 y - 1) d x - (2 x + 4 y - 3) d y = 0$
76650	Solve the Differential Equation	2(2x^2+y^2)dx-x(yd)y=0	$2 (2 x^{2} + y^{2}) d x - x yd y = 0$
76651	Solve the Differential Equation	(x+y+1)(dy)/(dx)=1	$(x + y + 1) \frac{d y}{d x} = 1$
76652	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(5x+1)	$x^{2} \frac{d w}{d x} = \sqrt{w} (5 x + 1)$
76653	Solve the Differential Equation	(dy)/(dt)=y-5	$\frac{d y}{d t} = y - 5$
76654	Solve the Differential Equation	(x^2y^4-1)dx+x^3y^3dy=0	$(x^{2} y^{4} - 1) d x + x^{3} y^{3} d y = 0$
76655	Solve the Differential Equation	(x^2+9)(dy)/(dx)=xy	$(x^{2} + 9) \frac{d y}{d x} = x y$
76656	Solve the Differential Equation	y''''-xe^y=2e^y	$y'' - x e^{y} = 2 e^{y}$
76657	Solve the Differential Equation	y(1+xy)dx+(2y-x)dy=0	$y (1 + x y) d x + (2 y - x) d y = 0$
76658	Solve the Differential Equation	(3e^(3x)y-2x)dx+e^(3x)dy=0	$(3 e^{3 x} y - 2 x) d x + e^{3 x} d y = 0$
76659	Solve the Differential Equation	y''''''''-y+x^2=0	$y'''' - y + x^{2} = 0$
76660	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(2x+5)	$x^{2} \frac{d w}{d x} = \sqrt{w} (2 x + 5)$
76661	Solve the Differential Equation	y''''''''''''+3y''''''''-y''''-3y=0	$y'''''' + 3 y'''' - y'' - 3 y = 0$
76662	Solve the Differential Equation	(x-1)y''''''''-xy''''+y=0	$(x - 1) y'''' - x y'' + y = 0$
76663	Solve the Differential Equation	y''''''''''''-2y''''''''-4y''''+8y=0	$y'''''' - 2 y'''' - 4 y'' + 8 y = 0$
76664	Solve the Differential Equation	(dy)/(dx)=13e^(11x-y)	$\frac{d y}{d x} = 13 e^{11 x - y}$
76665	Solve the Differential Equation	f(x) = log base 3 of tan(2x)	$f (x) = \log_{3} (\tan (2 x))$
76666	Solve the Differential Equation	(dy)/(dx)=6x^2-4x+16	$\frac{d y}{d x} = 6 x^{2} - 4 x + 16$
76667	Solve the Differential Equation	(5x+3e^y)dx+2xe^ydy=0	$(5 x + 3 e^{y}) d x + 2 x e^{y} d y = 0$
76668	Solve the Differential Equation	(dy)/(dt)+4y=5 , y(0)=1	$\frac{d y}{d t} + 4 y = 5$ , $y (0) = 1$
76669	Solve the Differential Equation	(dy)/(dx)=(2x+1)/(3y)	$\frac{d y}{d x} = \frac{2 x + 1}{3 y}$
76670	Solve the Differential Equation	(du)/(dv)=uvsin(v^2)	$\frac{d u}{d v} = u v \sin (v^{2})$
76671	Solve the Differential Equation	(dy)/(dx)=1/((xy)^2) , y(1)=3	$\frac{d y}{d x} = \frac{1}{{(x y)}^{2}}$ , $y (1) = 3$
76672	Solve the Differential Equation	y''''-(3y)/(x^2)=1/(x^2)	$y'' - \frac{3 y}{x^{2}} = \frac{1}{x^{2}}$
76673	Solve the Differential Equation	(dy)/(dx)-(2cos(x))/(sin(x))y=g(x)	$\frac{d y}{d x} - \frac{2 \cos (x)}{\sin (x)} y = g (x)$
76674	Solve the Differential Equation	(dy)/(dx)=1/6 제곱근 ycos( 제곱근 y)^2	$\frac{d y}{d x} = \frac{1}{6} \sqrt{y} \cos^{2} (\sqrt{y})$
76675	Solve the Differential Equation	(du)/(dx)=8x^7-3x^2+4	$\frac{d u}{d x} = 8 x^{7} - 3 x^{2} + 4$
76676	Solve the Differential Equation	(dy)/(dx)=-0.3y , y(0)=50	$\frac{d y}{d x} = - 0.3 y$ , $y (0) = 50$
76677	Solve the Differential Equation	(dy)/(dx)=6x-5 and y(2)=0	$\frac{d y}{d x} = 6 x - 5$ and $y (2) = 0$
76678	Solve the Differential Equation	(dz)/(dt)=-3e^(t+z)	$\frac{d z}{d t} = - 3 e^{t + z}$
76679	Solve the Differential Equation	x(yd)x+(x^2+y^2)dy=0 ?	$x yd x + (x^{2} + y^{2}) d y = 0$ ?
76680	Solve the Differential Equation	(x+1)(dy)/(dx)-y=e^x(x+1)^2	$(x + 1) \frac{d y}{d x} - y = e^{x} {(x + 1)}^{2}$
76681	Solve the Differential Equation	y''''''''+25y=-sin(x)	$y'''' + 25 y = - \sin (x)$
76682	Solve the Differential Equation	(dy)/(dx)-y/x=x-2	$\frac{d y}{d x} - \frac{y}{x} = x - 2$
76683	Solve the Differential Equation	(dy)/(dx)=14-y	$\frac{d y}{d x} = 14 - y$
76684	Solve the Differential Equation	(dy)/(dx)=e^(20x)+4x-24	$\frac{d y}{d x} = e^{20 x} + 4 x - 24$
76685	Solve the Differential Equation	y''''+y''''+2y=x	$y'' + y'' + 2 y = x$
76686	Solve the Differential Equation	(1+x^3)dy=3x^2(yd)x	$(1 + x^{3}) d y = 3 x^{2} yd x$
76687	Solve the Differential Equation	y''''+y/x=e^x	$y'' + \frac{y}{x} = e^{x}$
76688	Solve the Differential Equation	(dy)/(dx)=y^2(1+e^x)	$\frac{d y}{d x} = y^{2} (1 + e^{x})$
76689	Solve the Differential Equation	(dy)/(dx)=3x+xy	$\frac{d y}{d x} = 3 x + x y$
76690	Solve the Differential Equation	x(dy)/(dx)-2y=2x^4 , y(2)=8	$x \frac{d y}{d x} - 2 y = 2 x^{4}$ , $y (2) = 8$
76691	Solve the Differential Equation	2(12)(10)+2(5)(dy)/(dt)=0	$2 (12) (10) + 2 (5) \frac{d y}{d t} = 0$
76692	Solve the Differential Equation	xdy-(yd)x- x^2-y^2dx=0 의 제곱근	$x d y - yd x - \sqrt{x^{2} - y^{2}} d x = 0$
76693	Solve the Differential Equation	y''''=x-1/y	$y'' = x - \frac{1}{y}$
76694	Solve the Differential Equation	(dy)/(dx)=7x	$\frac{d y}{d x} = 7 x$
76695	Solve the Differential Equation	y''''=(2y+3)/(x^2)	$y'' = \frac{2 y + 3}{x^{2}}$
76696	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(9x+3)	$x^{2} \frac{d w}{d x} = \sqrt{w} (9 x + 3)$
76697	Solve the Differential Equation	(1+x^2)dy-2x(yd)x=0	$(1 + x^{2}) d y - 2 x yd x = 0$
76698	Solve the Differential Equation	e^(x+y)y''''=3x	$e^{x + y} y'' = 3 x$
76699	Solve the Differential Equation	(du)/(dt)=(2+t^4)/(ut^2+u^4t^2)	$\frac{d u}{d t} = \frac{(2 + t^{4})}{u t^{2} + u^{4} t^{2}}$
76700	Solve the Differential Equation	1-10x^2y''''=x 의 제곱근	$\sqrt{1 - 10 x^{2}} y'' = x$