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인기 문제

순위	주제	문제	형식화된 문제
75201	Solve the Differential Equation	(dy)/(dx)=5x^(-3/4) , y(1)=1	$\frac{d y}{d x} = 5 x^{- \frac{3}{4}}$ , $y (1) = 1$
75202	Solve the Differential Equation	(x^4-x+y)dx-xdy=0	$(x^{4} - x + y) d x - x d y = 0$
75203	Solve the Differential Equation	x^2(dy)/(dx)-y x=0 의 제곱근	$x^{2} \frac{d y}{d x} - y \sqrt{x} = 0$
75204	Solve the Differential Equation	(x^2+y^2)dy+2x(yd)x=0	$(x^{2} + y^{2}) d y + 2 x yd x = 0$
75205	Solve the Differential Equation	y''''=25y	$y'' = 25 y$
75206	Solve the Differential Equation	(dy)/(dx)=(4x^2+1)/y	$\frac{d y}{d x} = \frac{4 x^{2} + 1}{y}$
75207	Solve the Differential Equation	x''''=-2x	$x'' = - 2 x$
75208	Solve the Differential Equation	(dy)/(dx)=2/(2x+1)	$\frac{d y}{d x} = \frac{2}{2 x + 1}$
75209	Solve the Differential Equation	y''''+9y=6e^(3x)	$y'' + 9 y = 6 e^{3 x}$
75210	Solve the Differential Equation	2x^2(yd)x+(3x^3+y^3)dy=0	$2 x^{2} yd x + (3 x^{3} + y^{3}) d y = 0$
75211	Solve the Differential Equation	(dy)/(dx)=y^2e^(2x)	$\frac{d y}{d x} = y^{2} e^{2 x}$
75212	Solve the Differential Equation	(dy)/(dx)=e^(5(3x-2y))	$\frac{d y}{d x} = e^{5 (3 x - 2 y)}$
75213	Solve the Differential Equation	(3x^2y-xy)dx+(2x^3y^2+x^3y^4)dy=0	$(3 x^{2} y - x y) d x + (2 x^{3} y^{2} + x^{3} y^{4}) d y = 0$
75214	Solve the Differential Equation	f(x)=(x+2)/(x^2)	$f (x) = \frac{x + 2}{x^{2}}$
75215	Solve the Differential Equation	x^2(y+1)dy-(x+1)(yd)x=0	$x^{2} (y + 1) d y - (x + 1) yd x = 0$
75216	Solve the Differential Equation	(dy)/(dx)=(xsec(y/x)+y)/x	$\frac{d y}{d x} = \frac{x \sec (\frac{y}{x}) + y}{x}$
75217	Solve the Differential Equation	xy^2(xy''''+y)=xy	$x y^{2} (x y'' + y) = x y$
75218	Solve the Differential Equation	(dy)/(dx)=2xy+3y-4x-6	$\frac{d y}{d x} = 2 x y + 3 y - 4 x - 6$
75219	Solve the Differential Equation	(dy)/(dx)+y=2	$\frac{d y}{d x} + y = 2$
75220	Solve the Differential Equation	y''''''''=6x	$y'''' = 6 x$
75221	Solve the Differential Equation	y''''+5x-21=0	$y'' + 5 x - 21 = 0$
75222	Solve the Differential Equation	x(dy)/(dx)sin(y/x)^2=x+ysin(y/x)^2	$x \frac{d y}{d x} \sin^{2} (\frac{y}{x}) = x + y \sin^{2} (\frac{y}{x})$
75223	Solve the Differential Equation	2xy+10x+(x^2-9)(dy)/(dx)=0	$2 x y + 10 x + (x^{2} - 9) \frac{d y}{d x} = 0$
75224	Solve the Differential Equation	(x+y)y''''+y=0	$(x + y) y'' + y = 0$
75225	Solve the Differential Equation	(2x+y+6)dx+(2x+y)dy=0	$(2 x + y + 6) d x + (2 x + y) d y = 0$
75226	Solve the Differential Equation	3y''''=y-y^2	$3 y'' = y - y^{2}$
75227	Solve the Differential Equation	6xdx-6(yd)y=2x^2(yd)y-3xy^2dx	$6 x d x - 6 yd y = 2 x^{2} yd y - 3 x y^{2} d x$
75228	Solve the Differential Equation	(dy)/(dx)=(5(3-y)^2)/((3-x)^2)	$\frac{d y}{d x} = \frac{5 {(3 - y)}^{2}}{{(3 - x)}^{2}}$
75229	Solve the Differential Equation	y''''''''+6y''''+10y=0	$y'''' + 6 y'' + 10 y = 0$
75230	Solve the Differential Equation	4y''''''''+y=0	$4 y'''' + y = 0$
75231	Solve the Differential Equation	xy((dy)/(dx))=x^2+1	$x y (\frac{d y}{d x}) = x^{2} + 1$
75232	Solve the Differential Equation	(dy)/(dx)=2x-7 , y(2)=0	$\frac{d y}{d x} = 2 x - 7$ , $y (2) = 0$
75233	Solve the Differential Equation	x(dy)/(dx) = square root of 1-y	$x \frac{d y}{d x} = \sqrt{1 - y}$
75234	Solve the Differential Equation	x^3(dy)/(dx)=x^2y+y^2-x^2	$x^{3} \frac{d y}{d x} = x^{2} y + y^{2} - x^{2}$
75235	Solve the Differential Equation	d/(dx)(f(x))=x+1/x	$\frac{d}{d x} (f (x)) = x + \frac{1}{x}$
75236	Solve the Differential Equation	3y(dy)/(dx)=5x^2	$3 y \frac{d y}{d x} = 5 x^{2}$
75237	Solve the Differential Equation	(tan(x)-sin(x)sin(y))dx+cos(x)cos(ydy)=0	$(\tan (x) - \sin (x) \sin (y)) d x + \cos (x) \cos (yd y) = 0$
75238	Solve the Differential Equation	(dy)/(y(1+2e)^2)=(2e)/(3-x)dx	$\frac{d y}{y {(1 + 2 e)}^{2}} = \frac{2 e}{3 - x} d x$
75239	Solve the Differential Equation	(dy)/(dx)=((d^3y)/(dx^3))^4+6xy	$\frac{d y}{d x} = {(\frac{d^{3} y}{d x^{3}})}^{4} + 6 x y$
75240	Solve the Differential Equation	1-6x^2y''''=x 의 제곱근	$\sqrt{1 - 6 x^{2}} y'' = x$
75241	Solve the Differential Equation	(x+y)dx+(x+2y)dy=0	$(x + y) d x + (x + 2 y) d y = 0$
75242	Solve the Differential Equation	(dy)/(dx)=e^ysin(x)	$\frac{d y}{d x} = e^{y} \sin (x)$
75243	Solve the Differential Equation	y''''=1/2y	$y'' = \frac{1}{2} y$
75244	Solve the Differential Equation	(dy)/(dx)=(x^2y^2)/(xy)	$\frac{d y}{d x} = \frac{x^{2} y^{2}}{x y}$
75245	Solve the Differential Equation	y''''-y=3e^x	$y'' - y = 3 e^{x}$
75246	Solve the Differential Equation	y^3(dy)/(dx)=(y^4+1)cos(x)	$y^{3} \frac{d y}{d x} = (y^{4} + 1) \cos (x)$
75247	Solve the Differential Equation	(dy)/(dx)-5y=15	$\frac{d y}{d x} - 5 y = 15$
75248	Solve the Differential Equation	(dy)/(dx)=1/2x 1-16y^2 의 제곱근	$\frac{d y}{d x} = \frac{1}{2} x \sqrt{1 - 16 y^{2}}$
75249	Solve the Differential Equation	y''''''''+4y=cos(2x)	$y'''' + 4 y = \cos (2 x)$
75250	Solve the Differential Equation	(dy)/(dx)=(xe^x)/(y 1+y^2) 의 제곱근	$\frac{d y}{d x} = \frac{x e^{x}}{y \sqrt{1 + y^{2}}}$
75251	Solve the Differential Equation	f(x) = square root of x+7	$f (x) = \sqrt{x + 7}$
75252	Solve the Differential Equation	(dy)/(dx)=(-6/(x^2)+1/6)	$\frac{d y}{d x} = (- \frac{6}{x^{2}} + \frac{1}{6})$
75253	Solve the Differential Equation	y''''+y=x^2	$y'' + y = x^{2}$
75254	Solve the Differential Equation	5 xy(dy)/(dx)=1 의 제곱근	$5 \sqrt{x y} \frac{d y}{d x} = 1$
75255	Solve the Differential Equation	(x^2+xy-y^2)dx+(1/2x^2-2xy)dy=0	$(x^{2} + x y - y^{2}) d x + (\frac{1}{2} x^{2} - 2 x y) d y = 0$
75256	Solve the Differential Equation	(y+xy^2)dx-xdy=0	$(y + x y^{2}) d x - x d y = 0$
75257	Solve the Differential Equation	dx+(y^2x-x^2y)dy=0	$d x + (y^{2} x - x^{2} y) d y = 0$
75258	Solve the Differential Equation	f(x)=(x^2+2x)(2x+2)	$f (x) = (x^{2} + 2 x) (2 x + 2)$
75259	Solve the Differential Equation	(dy)/(dx)=2y*cos(x)	$\frac{d y}{d x} = 2 y \cdot \cos (x)$
75260	Solve the Differential Equation	y^2dx+(xy-x^3)dy=0	$y^{2} d x + (x y - x^{3}) d y = 0$
75261	Solve the Differential Equation	(dy)/(dx)=(x^2)/(4y(x+2xy^2))	$\frac{d y}{d x} = \frac{x^{2}}{4 y (x + 2 x y^{2})}$
75262	Solve the Differential Equation	(dy)/(dx)=(2y-1)/(x+2)	$\frac{d y}{d x} = \frac{2 y - 1}{x + 2}$
75263	Solve the Differential Equation	(dy)/(dx)=(9e^x-3e^(-x))^2	$\frac{d y}{d x} = {(9 e^{x} - 3 e^{- x})}^{2}$
75264	Solve the Differential Equation	(1+e^(2y))dx+(2xe^(2y))dy=0	$(1 + e^{2 y}) d x + (2 x e^{2 y}) d y = 0$
75265	Solve the Differential Equation	(dv)/(dx)=(s+1)/(sv+s)	$\frac{d v}{d x} = \frac{s + 1}{s v + s}$
75266	Solve the Differential Equation	(dy)/(dt)=32t^3	$\frac{d y}{d t} = 32 t^{3}$
75267	Solve the Differential Equation	y''''=2x-xy	$y'' = 2 x - x y$
75268	Solve the Differential Equation	(dA)/(dt)=1/2(12)(-24)+1/2(9)(18)	$\frac{d A}{d t} = \frac{1}{2} (12) (- 24) + \frac{1}{2} (9) (18)$
75269	Solve the Differential Equation	(dy)/(dx)=-x/(y^2)	$\frac{d y}{d x} = - \frac{x}{y^{2}}$
75270	Solve the Differential Equation	(ds)/(dt)=12t(3t^2-1)^3 , s(1)=4	$\frac{d s}{d t} = 12 t {(3 t^{2} - 1)}^{3}$ , $s (1) = 4$
75271	Solve the Differential Equation	(ds)/(dt)=28t(7t^2-5)^3 , s(1)=7	$\frac{d s}{d t} = 28 t {(7 t^{2} - 5)}^{3}$ , $s (1) = 7$
75272	Solve the Differential Equation	x(dy)/(dx)=y^2+y	$x \frac{d y}{d x} = y^{2} + y$
75273	Solve the Differential Equation	(x^2+y^2+3)dx-2x(yd)y=0	$(x^{2} + y^{2} + 3) d x - 2 x yd y = 0$
75274	Solve the Differential Equation	y''''+2y=3e^(-2x)	$y'' + 2 y = 3 e^{- 2 x}$
75275	Solve the Differential Equation	y(y+2x+1)dx-x(2y+x-1)dy=0	$y (y + 2 x + 1) d x - x (2 y + x - 1) d y = 0$
75276	Solve the Differential Equation	(dy)/(dx)=x-1+xy-y	$\frac{d y}{d x} = x - 1 + x y - y$
75277	Solve the Differential Equation	(dy)/(dx)=13-y	$\frac{d y}{d x} = 13 - y$
75278	Solve the Differential Equation	(dy)/(dx)=8x-2y	$\frac{d y}{d x} = 8 x - 2 y$
75279	Solve the Differential Equation	(dy)/(dx)=(2xy)/((x^2-2)(y^2+3))	$\frac{d y}{d x} = \frac{2 x y}{(x^{2} - 2) (y^{2} + 3)}$
75280	Solve the Differential Equation	(d^2y)/(dx^2)-9(dy)/(dx)=0	$\frac{d^{2} y}{d x^{2}} - 9 \frac{d y}{d x} = 0$
75281	Solve the Differential Equation	(2+x)y''''=9y	$(2 + x) y'' = 9 y$
75282	Solve the Differential Equation	y''''-10y''''+25y=30x+3	$y'' - 10 y'' + 25 y = 30 x + 3$
75283	Solve the Differential Equation	y''''+y/x=x	$y'' + \frac{y}{x} = x$
75284	Solve the Differential Equation	cos(xdx)+(1+2/y)sin(xdy)=0	$\cos (x d x) + (1 + \frac{2}{y}) \sin (x d y) = 0$
75285	Solve the Differential Equation	(dy)/(dx)=e^(5x)	$\frac{d y}{d x} = e^{5 x}$
75286	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(2x+4)	$x^{2} \frac{d w}{d x} = \sqrt{w} (2 x + 4)$
75287	Solve the Differential Equation	y'''' = square root of xy	$y'' = \sqrt{x y}$
75288	Solve the Differential Equation	(dy)/(dx)+y=xe^x	$\frac{d y}{d x} + y = x e^{x}$
75289	Solve the Differential Equation	(dy)/(dx)=(1-2x)^2	$\frac{d y}{d x} = {(1 - 2 x)}^{2}$
75290	Solve the Differential Equation	2xyy''''=x^2+2y^2	$2 x y y'' = x^{2} + 2 y^{2}$
75291	Solve the Differential Equation	(x^2+5)y''''=xy	$(x^{2} + 5) y'' = x y$
75292	Solve the Differential Equation	(dy)/(dx)+1/xy=x^2y^2	$\frac{d y}{d x} + \frac{1}{x} y = x^{2} y^{2}$
75293	Solve the Differential Equation	mxdy=n(yd)x	$m x d y = n yd x$
75294	Solve the Differential Equation	(dy)/(dx)=12x y 의 제곱근	$\frac{d y}{d x} = 12 x \sqrt{y}$
75295	Solve the Differential Equation	(3e^xy+x)dx+e^xdy=0	$(3 e^{x} y + x) d x + e^{x} d y = 0$
75296	Solve the Differential Equation	(2xy)dx+(y^2-3x^2)dy=0	$(2 x y) d x + (y^{2} - 3 x^{2}) d y = 0$
75297	Solve the Differential Equation	(dy)/(dx)=x^7	$\frac{d y}{d x} = x^{7}$
75298	Solve the Differential Equation	(dy)/(dx)=y/( x) 의 제곱근	$\frac{d y}{d x} = \frac{y}{\sqrt{x}}$
75299	Solve the Differential Equation	(ds)/(dt)=36t(9t^2-7)^3 , s(1)=12	$\frac{d s}{d t} = 36 t {(9 t^{2} - 7)}^{3}$ , $s (1) = 12$
75300	Solve the Differential Equation	(dy)/(dt)=(2y)/t	$\frac{d y}{d t} = \frac{2 y}{t}$