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인기 문제

순위	주제	문제	형식화된 문제
77101	Solve the Differential Equation	x^2+xy+y^2-y^2(dx)/(dy)=0	$x^{2} + x y + y^{2} - y^{2} \frac{d x}{d y} = 0$
77102	Solve the Differential Equation	y''''+y''''-y=0	$y'' + y'' - y = 0$
77103	Solve the Differential Equation	(dy)/(dx)=2+1/x , y(1)=7	$\frac{d y}{d x} = 2 + \frac{1}{x}$ , $y (1) = 7$
77104	Solve the Differential Equation	(dy)/(dx)=6 xy 의 제곱근	$\frac{d y}{d x} = 6 \sqrt{x y}$
77105	Solve the Differential Equation	(dP)/(dt)=1/2P	$\frac{d P}{d t} = \frac{1}{2} P$
77106	Solve the Differential Equation	(dx)/(dt)=2x-5	$\frac{d x}{d t} = 2 x - 5$
77107	Solve the Differential Equation	(dy)/(dt)=3t^2-t^2y	$\frac{d y}{d t} = 3 t^{2} - t^{2} y$
77108	Solve the Differential Equation	y''''-4y=2e^(4x)	$y'' - 4 y = 2 e^{4 x}$
77109	Solve the Differential Equation	y''''''''-2y''''-8=0	$y'''' - 2 y'' - 8 = 0$
77110	Solve the Differential Equation	(dy)/(dx)=2x^(1/7)	$\frac{d y}{d x} = 2 x^{\frac{1}{7}}$
77111	Solve the Differential Equation	(dy)/(dx)=6-2y	$\frac{d y}{d x} = 6 - 2 y$
77112	Solve the Differential Equation	x(dy)/(dx)=y-1/y	$x \frac{d y}{d x} = y - \frac{1}{y}$
77113	Solve the Differential Equation	y''''=1/(y^2)	$y'' = \frac{1}{y^{2}}$
77114	Solve the Differential Equation	xy''''=3y+x^2	$x y'' = 3 y + x^{2}$
77115	Solve the Differential Equation	(dy)/(dt)=y^3	$\frac{d y}{d t} = y^{3}$
77116	Solve the Differential Equation	y''''''''+3y''''+2y=12x^2	$y'''' + 3 y'' + 2 y = 12 x^{2}$
77117	Solve the Differential Equation	y''''-3y''''+4y=0	$y'' - 3 y'' + 4 y = 0$
77118	Solve the Differential Equation	35(dy)/(dt)+56=0	$35 \frac{d y}{d t} + 56 = 0$
77119	Solve the Differential Equation	(dx)/(dt)=x-2y	$\frac{d x}{d t} = x - 2 y$
77120	Solve the Differential Equation	y''''''''(x)-5yx+6y(x)=xe^x	$y'''' (x) - 5 y x + 6 y (x) = x e^{x}$
77121	Solve the Differential Equation	x(x^3-xy^2+2y^3)dy-y(x^3+2y^3)dx=0	$x (x^{3} - x y^{2} + 2 y^{3}) d y - y (x^{3} + 2 y^{3}) d x = 0$
77122	Solve the Differential Equation	(x+arctan(x))dx=-((x+y)/(1+y^2)dy)	$(x + \arctan (x)) d x = - (\frac{x + y}{1 + y^{2}} d y)$
77123	Solve the Differential Equation	(dy)/(dt)-42t^6e^(-y)=0	$\frac{d y}{d t} - 42 t^{6} e^{- y} = 0$
77124	Solve the Differential Equation	m(dv)/(dt)=mg-kv^2	$m \frac{d v}{d t} = mg - k v^{2}$
77125	Solve the Differential Equation	(dy)/(dx)=4x+5/x	$\frac{d y}{d x} = 4 x + \frac{5}{x}$
77126	Solve the Differential Equation	(dy)/(dx)=1/(3(7-x)) ; with y(6)=19	$\frac{d y}{d x} = \frac{1}{3 (7 - x)}$ ; with $y (6) = 19$
77127	Solve the Differential Equation	y''''=2/xy+x^2e^x	$y'' = \frac{2}{x} y + x^{2} e^{x}$
77128	Solve the Differential Equation	(dy)/(dx)=(xy+y)/(x+xy)	$\frac{d y}{d x} = \frac{x y + y}{x + x y}$
77129	Solve the Differential Equation	y''''+sin(2)(x+y)=0	$y'' + \sin (2) (x + y) = 0$
77130	Solve the Differential Equation	y''''''''''''+y''''=tan(x)	$y'''''' + y'' = \tan (x)$
77131	Solve the Differential Equation	(dy)/(dx)=ycsc(x)+e^x	$\frac{d y}{d x} = y \csc (x) + e^{x}$
77132	Solve the Differential Equation	y''''=2cos(2x)	$y'' = 2 \cos (2 x)$
77133	Solve the Differential Equation	(dy)/(dx)=-x^2	$\frac{d y}{d x} = - x^{2}$
77134	Solve the Differential Equation	2xsin(3ydx)+3x^2cos(3ydy)=0	$2 x \sin (3 yd x) + 3 x^{2} \cos (3 yd y) = 0$
77135	Solve the Differential Equation	x^2y''''''''+xy''''=1	$x^{2} y'''' + x y'' = 1$
77136	Solve the Differential Equation	(3x^2+3xy^2)dx+(3x^2y-3y^2+2y)dy=0	$(3 x^{2} + 3 x y^{2}) d x + (3 x^{2} y - 3 y^{2} + 2 y) d y = 0$
77137	Solve the Differential Equation	y''''''''-y''''=-x+4	$y'''' - y'' = - x + 4$
77138	Solve the Differential Equation	y''''''''+y=3sin(x)	$y'''' + y = 3 \sin (x)$
77139	Solve the Differential Equation	y(1+xy)dx+xdy=0	$y (1 + x y) d x + x d y = 0$
77140	Solve the Differential Equation	(dy)/(dx)=-9xe^y	$\frac{d y}{d x} = - 9 x e^{y}$
77141	Solve the Differential Equation	(2+x)((dy)/(dx))=3y	$(2 + x) (\frac{d y}{d x}) = 3 y$
77142	Solve the Differential Equation	(dA)/(dt)=0.04A	$\frac{d A}{d t} = 0.04 A$
77143	Solve the Differential Equation	(d^2x)/(dt^2)+2(dx)/(dt)+5x=0	$\frac{d^{2} x}{d t^{2}} + 2 \frac{d x}{d t} + 5 x = 0$
77144	Solve the Differential Equation	(du)/(dx)=8x^7-4x^3+5	$\frac{d u}{d x} = 8 x^{7} - 4 x^{3} + 5$
77145	Solve the Differential Equation	find (dy)/(dx) where y=5^x- cos(x) 의 자연로그	find $\frac{d y}{d x}$ where $y = 5^{x} - \ln (\cos (x))$
77146	Solve the Differential Equation	(dy)/(dx)=(3x^2)/(y^4)	$\frac{d y}{d x} = \frac{3 x^{2}}{y^{4}}$
77147	Solve the Differential Equation	(dy)/(dx)-x^2(dy)/(dx)=xy+3x-3x^3	$\frac{d y}{d x} - x^{2} \frac{d y}{d x} = x y + 3 x - 3 x^{3}$
77148	Solve the Differential Equation	y'''' = square root of 4x+2y-1	$y'' = \sqrt{4 x + 2 y - 1}$
77149	Solve the Differential Equation	-3(yd)x+2xdy=0	$- 3 yd x + 2 x d y = 0$
77150	Solve the Differential Equation	(21x^2y^4-8x^3y)dx+(28x^3y^3-2x^4)dy=0	$(21 x^{2} y^{4} - 8 x^{3} y) d x + (28 x^{3} y^{3} - 2 x^{4}) d y = 0$
77151	Solve the Differential Equation	x(1+y^2)^(1/2)dx-y(1+x^2)^(1/2)dx=0	$x {(1 + y^{2})}^{\frac{1}{2}} d x - y {(1 + x^{2})}^{\frac{1}{2}} d x = 0$
77152	Solve the Differential Equation	(dy)/(dx)=18x^2-14x	$\frac{d y}{d x} = 18 x^{2} - 14 x$
77153	Solve the Differential Equation	y''''+y=Nx	$y'' + y = N x$
77154	Solve the Differential Equation	(dy)/(dx)=iy , y(0)=i	$\frac{d y}{d x} = i y$ , $y (0) = i$
77155	Solve the Differential Equation	y''''=xy+1	$y'' = x y + 1$
77156	Solve the Differential Equation	y^2dx+2x(yd)y=0	$y^{2} d x + 2 x yd y = 0$
77157	Solve the Differential Equation	(y^2+2y)sin(x^2dx)+(y+1)/xdy=0	$(y^{2} + 2 y) \sin (x^{2} d x) + \frac{y + 1}{x} d y = 0$
77158	Solve the Differential Equation	(dy)/(dt)=0.6y^(1/2)	$\frac{d y}{d t} = 0.6 y^{\frac{1}{2}}$
77159	Solve the Differential Equation	x^2dy+2x(yd)x=0	$x^{2} d y + 2 x yd x = 0$
77160	Solve the Differential Equation	(dy)/(dx)=4(dw)/(dx)	$\frac{d y}{d x} = 4 \frac{d w}{d x}$
77161	Solve the Differential Equation	(3x^2-2x-y)dx+(2y-x+3y^2)dy=0	$(3 x^{2} - 2 x - y) d x + (2 y - x + 3 y^{2}) d y = 0$
77162	Solve the Differential Equation	y''''+1/2y=y^3	$y'' + \frac{1}{2} y = y^{3}$
77163	Solve the Differential Equation	(dy)/(dx)+2xy=0 ; dengan y(0)=1	$\frac{d y}{d x} + 2 x y = 0$ ; dengan $y (0) = 1$
77164	Verify the Differential Equation Solution	(dy)/(dx)=-(x-2y)/(y^2-2x) , y(0)=3	$\frac{d y}{d x} = - \frac{x - 2 y}{y^{2} - 2 x}$ , $y (0) = 3$
77165	Solve the Differential Equation	(9+x^4)dy+x(1+4y^2)dx=0	$(9 + x^{4}) d y + x (1 + 4 y^{2}) d x = 0$
77166	Solve the Differential Equation	(2xy+3y^2)dx=(2xy+x^2)dy	$(2 x y + 3 y^{2}) d x = (2 x y + x^{2}) d y$
77167	Solve the Differential Equation	y''''+y''''+2y=0	$y'' + y'' + 2 y = 0$
77168	Solve the Differential Equation	(dy)/(dx)=(2x)/(5e^y)	$\frac{d y}{d x} = \frac{2 x}{5 e^{y}}$
77169	Solve the Differential Equation	xy''''''''+3y''''-2xy=0	$x y'''' + 3 y'' - 2 x y = 0$
77170	Solve the Differential Equation	yy''''=x(y^2+1)	$y y'' = x (y^{2} + 1)$
77171	Solve the Differential Equation	(dy)/(dx)-y/x=x^2sin(2x)	$\frac{d y}{d x} - \frac{y}{x} = x^{2} \sin (2 x)$
77172	Solve the Differential Equation	(dy)/(dx) for y=pi^3	$\frac{d y}{d x}$ for $y = π^{3}$
77173	Solve the Differential Equation	(dy)/(dx)+6xy=0	$\frac{d y}{d x} + 6 x y = 0$
77174	Solve the Differential Equation	((d^3y)/(dx^3))^2+10(dy)/(dx)=5x^2	${(\frac{d^{3} y}{d x^{3}})}^{2} + 10 \frac{d y}{d x} = 5 x^{2}$
77175	Solve the Differential Equation	(dy)/(dx)+y/x=cos(x)	$\frac{d y}{d x} + \frac{y}{x} = \cos (x)$
77176	Solve the Differential Equation	(dy)/(dx)=10-2y	$\frac{d y}{d x} = 10 - 2 y$
77177	Solve the Differential Equation	2(dy)/(dx)+10y=1	$2 \frac{d y}{d x} + 10 y = 1$
77178	Solve the Differential Equation	(cos(x)cos(y)-cot(x))dx-sin(x)sin(ydy)^2=0	$(\cos (x) \cos (y) - \cot (x)) d x - \sin (x) \sin^{2} (yd y) = 0$
77179	Solve the Differential Equation	x(dy)/(dx)+5y=7x^2	$x \frac{d y}{d x} + 5 y = 7 x^{2}$
77180	Solve the Differential Equation	4y''''''''+36y=csc(3x)	$4 y'''' + 36 y = \csc (3 x)$
77181	Solve the Differential Equation	(x/y)dy+(1+ y)dx=0 의 자연로그	$(\frac{x}{y}) d y + (1 + \ln (y)) d x = 0$
77182	Solve the Differential Equation	dy+3(yd)x=e^(-3x)dx	$d y + 3 yd x = e^{- 3 x} d x$
77183	Solve the Differential Equation	(dy)/(dx)=(e^x+8)^2	$\frac{d y}{d x} = {(e^{x} + 8)}^{2}$
77184	Solve the Differential Equation	(dx)/(dt)=x-3y	$\frac{d x}{d t} = x - 3 y$
77185	Solve the Differential Equation	(du)/(dx)=7x^6-5x^4+5	$\frac{d u}{d x} = 7 x^{6} - 5 x^{4} + 5$
77186	Solve the Differential Equation	(dy)/(dx)=(-x)/y , y(4)=-3	$\frac{d y}{d x} = \frac{- x}{y}$ , $y (4) = - 3$
77187	Solve the Differential Equation	( x^2+y^2+y)dx-xdy=0 의 제곱근	$(\sqrt{x^{2} + y^{2}} + y) d x - x d y = 0$
77188	Solve the Differential Equation	(dy)/(dx)=5x^(7/9)	$\frac{d y}{d x} = 5 x^{\frac{7}{9}}$
77189	Solve the Differential Equation	y'''' \|y\|=e^x 의 자연로그	$y'' \ln (\| y \|) = e^{x}$
77190	Solve the Differential Equation	y''''-7y''''+6y=2xe^(6x)	$y'' - 7 y'' + 6 y = 2 x e^{6 x}$
77191	Solve the Differential Equation	(2+2x^2y^(1/2))(yd)x+(x^2y^(1/2)+2)xdy=0	$(2 + 2 x^{2} y^{\frac{1}{2}}) yd x + (x^{2} y^{\frac{1}{2}} + 2) x d y = 0$
77192	Solve the Differential Equation	y''''+1/xy=sin(x)	$y'' + \frac{1}{x} y = \sin (x)$
77193	Solve the Differential Equation	6r''''''''-r''''=0	$6 r'''' - r'' = 0$
77194	Solve the Differential Equation	(du)/(dt)=35+7u+5t+ut	$\frac{d u}{d t} = 35 + 7 u + 5 t + u t$
77195	Solve the Differential Equation	(dy)/(dx)=(15x^2-6)^2	$\frac{d y}{d x} = {(15 x^{2} - 6)}^{2}$
77196	Solve the Differential Equation	(dy)/(dx)=10/((2x-1)^2e^(y+2))	$\frac{d y}{d x} = \frac{10}{{(2 x - 1)}^{2} e^{y + 2}}$
77197	Solve the Differential Equation	(dy)/(dx)=(3x^2)/(y(1-x^3))	$\frac{d y}{d x} = \frac{3 x^{2}}{y (1 - x^{3})}$
77198	Solve the Differential Equation	(y+x)dx+(3x+3y-4)dy=0	$(y + x) d x + (3 x + 3 y - 4) d y = 0$
77199	Solve the Differential Equation	(dy)/(dx)+2y=6e^x	$\frac{d y}{d x} + 2 y = 6 e^{x}$
77200	Solve the Differential Equation	y''''=0.4y	$y'' = 0.4 y$