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인기 문제

순위	주제	문제	형식화된 문제
78101	Solve the Differential Equation	y''''-(y'''')^2=0	$y'' - {(y'')}^{2} = 0$
78102	Solve the Differential Equation	y''''=5/2y	$y'' = \frac{5}{2} y$
78103	Solve the Differential Equation	(dy)/(dx)=-0.7y , y(0)=80	$\frac{d y}{d x} = - 0.7 y$ , $y (0) = 80$
78104	Solve the Differential Equation	4y''''+9y=15	$4 y'' + 9 y = 15$
78105	Solve the Differential Equation	(3x-2y^2)dx-2x(yd)y=0	$(3 x - 2 y^{2}) d x - 2 x yd y = 0$
78106	Solve the Differential Equation	dy+5(yd)x=e^(-5x)dx	$d y + 5 yd x = e^{- 5 x} d x$
78107	Solve the Differential Equation	(1+sin(y))dx+(xcos(y)-2y)dy=0	$(1 + \sin (y)) d x + (x \cos (y) - 2 y) d y = 0$
78108	Solve the Differential Equation	(dy)/(dx)=(2y)/(x^2)	$\frac{d y}{d x} = \frac{2 y}{x^{2}}$
78109	Solve the Differential Equation	(dy)/(dt)=(t*e^t)/(y 1+y^2) 의 제곱근	$\frac{d y}{d t} = \frac{t \cdot e^{t}}{y \sqrt{1 + y^{2}}}$
78110	Solve the Differential Equation	(dy)/(dx)=x-2y+1	$\frac{d y}{d x} = x - 2 y + 1$
78111	Solve the Differential Equation	y''''-4y=x-4	$y'' - 4 y = x - 4$
78112	Solve the Differential Equation	Solve the equation (dy)/(dx)=2ycos(x)	Solve the equation $\frac{d y}{d x} = 2 y \cos (x)$
78113	Solve the Differential Equation	x 제곱근 y^2-2dx+y 제곱근 x^2-2dy=0	$x \sqrt{y^{2} - 2} d x + y \sqrt{x^{2} - 2} d y = 0$
78114	Solve the Differential Equation	(dy)/(dx)=5x^2y-2xy	$\frac{d y}{d x} = 5 x^{2} y - 2 x y$
78115	Solve the Differential Equation	(dy)/(dx)=5x^3 , y(0)=7	$\frac{d y}{d x} = 5 x^{3}$ , $y (0) = 7$
78116	Solve the Differential Equation	(dy)/(dx)=5x^4y-4x^3y	$\frac{d y}{d x} = 5 x^{4} y - 4 x^{3} y$
78117	Solve the Differential Equation	(dr)/(dt)=-8rt	$\frac{d r}{d t} = - 8 r t$
78118	Solve the Differential Equation	y''''''''=sin(17x)+17/(x^3)+5	$y'''' = \sin (17 x) + \frac{17}{x^{3}} + 5$
78119	Solve the Differential Equation	(dy)/(dx)=71/(e^y)cos(x)	$\frac{d y}{d x} = 7 \cdot \frac{1}{e^{y}} \cdot \cos (x)$
78120	Solve the Differential Equation	y''''''''-5y''''+4y=8e^x	$y'''' - 5 y'' + 4 y = 8 e^{x}$
78121	Solve the Differential Equation	y(1-xy)dx+xdy=0	$y (1 - x y) d x + x d y = 0$
78122	Solve the Differential Equation	(df)/(dx)=10x^4-6x+3	$\frac{d f}{d x} = 10 x^{4} - 6 x + 3$
78123	Solve the Differential Equation	y''''=(x-y)^2+1	$y'' = {(x - y)}^{2} + 1$
78124	Solve the Differential Equation	(dy)/(dx)=4y+x	$\frac{d y}{d x} = 4 y + x$
78125	Solve the Differential Equation	제곱근 x(dy)/(dx)=e^(2y+ 제곱근 x)	$\sqrt{x} \frac{d y}{d x} = e^{2 y + \sqrt{x}}$
78126	Solve the Differential Equation	(dy)/(dx)=(y^2+x^2)/(2x^2)	$\frac{d y}{d x} = \frac{y^{2} + x^{2}}{2 x^{2}}$
78127	Solve the Differential Equation	(dy)/(dx)=(-(4xy+8y-6))/((x+2)^2)	$\frac{d y}{d x} = \frac{- (4 x y + 8 y - 6)}{{(x + 2)}^{2}}$
78128	Solve the Differential Equation	y(2x-y)dx-(x^2+y^2+1)dy=0	$y (2 x - y) d x - (x^{2} + y^{2} + 1) d y = 0$
78129	Solve the Differential Equation	2(yd)x=(1+x)dy	$2 yd x = (1 + x) d y$
78130	Solve the Differential Equation	(dy)/(dx)=2x^(4/9)	$\frac{d y}{d x} = 2 x^{\frac{4}{9}}$
78131	Solve the Differential Equation	(dx)/(dt)=(x+1)/(t+1)	$\frac{d x}{d t} = \frac{x + 1}{t + 1}$
78132	Solve the Differential Equation	(dy)/(dx)=(y^2)/y	$\frac{d y}{d x} = \frac{y^{2}}{y}$
78133	Solve the Differential Equation	(dy)/(dx)=(y-1)sin(4x)	$\frac{d y}{d x} = (y - 1) \sin (4 x)$
78134	Solve the Differential Equation	(2xy^2+1)dx+(2x^2y)dy=0	$(2 x y^{2} + 1) d x + (2 x^{2} y) d y = 0$
78135	Solve the Differential Equation	2x(yd)x+(6x^2+y^3)dy=0	$2 x yd x + (6 x^{2} + y^{3}) d y = 0$
78136	Solve the Differential Equation	y''''''''=12x^2	$y'''' = 12 x^{2}$
78137	Solve the Differential Equation	(2x^3y^2-e^x)dx+(x^4y+2y^3)dy=0	$(2 x^{3} y^{2} - e^{x}) d x + (x^{4} y + 2 y^{3}) d y = 0$
78138	Solve the Differential Equation	제곱근 x(dy)/(dx)=e^(9y+ 제곱근 x)	$\sqrt{x} \frac{d y}{d x} = e^{9 y + \sqrt{x}}$
78139	Solve the Differential Equation	(dy)/(dx)=2x-2y	$\frac{d y}{d x} = 2 x - 2 y$
78140	Solve the Differential Equation	y''''+y=xy^3	$y'' + y = x y^{3}$
78141	Solve the Differential Equation	y''''=(x+y-1)^2	$y'' = {(x + y - 1)}^{2}$
78142	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(9x+1)	$x^{2} \frac{d w}{d x} = \sqrt{w} (9 x + 1)$
78143	Solve the Differential Equation	(dy)/(dx)=csc(x)^2-20x^4	$\frac{d y}{d x} = \csc^{2} (x) - 20 x^{4}$
78144	Solve the Differential Equation	e^(5x)(dy)/(dx)=7	$e^{5 x} \frac{d y}{d x} = 7$
78145	Solve the Differential Equation	y''''+(2/x)y=(y^3)/(x^2)	$y'' + (\frac{2}{x}) y = \frac{y^{3}}{x^{2}}$
78146	Solve the Differential Equation	(dy)/(dx)+7xy=6x	$\frac{d y}{d x} + 7 x y = 6 x$
78147	Solve the Differential Equation	y''''''''''''-y''''=2sin(t)	$y'''''' - y'' = 2 \sin (t)$
78148	Solve the Differential Equation	xy''''=y-1	$x y'' = y - 1$
78149	Solve the Differential Equation	yy''''=4sin(x)	$y y'' = 4 \sin (x)$
78150	Solve the Differential Equation	(dy)/(dt)=(t+1)sin(2t)^2	$\frac{d y}{d t} = (t + 1) \sin^{2} (2 t)$
78151	Solve the Differential Equation	y''''+0.05y=50(1+cos(t))	$y'' + 0.05 y = 50 (1 + \cos (t))$
78152	Solve the Differential Equation	f(x)=0	$f (x) = 0$
78153	Solve the Differential Equation	2(24)(21)+2(7)(dy)/(dt)=0	$2 (24) (21) + 2 (7) \frac{d y}{d t} = 0$
78154	Solve the Differential Equation	(dy)/(dx)=x^2y^2+x^2+y^2+1	$\frac{d y}{d x} = x^{2} y^{2} + x^{2} + y^{2} + 1$
78155	Solve the Differential Equation	2(dy)/(dx)-1/y=(2x)/y	$2 \frac{d y}{d x} - \frac{1}{y} = \frac{2 x}{y}$
78156	Solve the Differential Equation	(dy)/(dx)=( x(y^2+1))/(xy) 의 자연로그	$\frac{d y}{d x} = \frac{\ln (x) (y^{2} + 1)}{x y}$
78157	Solve the Differential Equation	(dL)/(dx)=-kL	$\frac{dL}{d x} = - kL$
78158	Solve the Differential Equation	(dy)/(dx)=(36-12x^2)/( x^3-9x+9) 의 제곱근	$\frac{d y}{d x} = \frac{36 - 12 x^{2}}{\sqrt{x^{3} - 9 x + 9}}$
78159	Solve the Differential Equation	(dy)/(dx)=2x(e^(x^2-y))	$\frac{d y}{d x} = 2 x (e^{x^{2} - y})$
78160	Solve the Differential Equation	(dy)/(dx)=(x+xy^2)/y	$\frac{d y}{d x} = \frac{x + x y^{2}}{y}$
78161	Solve the Differential Equation	2(6)(0.6)+2(8)(dy)/(dt)=0	$2 (6) (0.6) + 2 (8) \frac{d y}{d t} = 0$
78162	Solve the Differential Equation	(dy)/(dx)=((3-x)^2)/y	$\frac{d y}{d x} = \frac{{(3 - x)}^{2}}{y}$
78163	Solve the Differential Equation	y''''+4y=x^2	$y'' + 4 y = x^{2}$
78164	Solve the Differential Equation	y''''''''-2y''''-2y=0	$y'''' - 2 y'' - 2 y = 0$
78165	Solve the Differential Equation	(dy)/(dx)+y/x=3	$\frac{d y}{d x} + \frac{y}{x} = 3$
78166	Solve the Differential Equation	y''''''''''''''''-y''''''''''''=x+e^x	$y'''''''' - y'''''' = x + e^{x}$
78167	Solve the Differential Equation	(dy)/(dx)=(9x^8)/(5e^y)	$\frac{d y}{d x} = \frac{9 x^{8}}{5 e^{y}}$
78168	Solve the Differential Equation	y''''+2xy=1	$y'' + 2 x y = 1$
78169	Solve the Differential Equation	(ds)/(dt)=cos(t)-sin(t) , s(0)=3	$\frac{d s}{d t} = \cos (t) - \sin (t)$ , $s (0) = 3$
78170	Solve the Differential Equation	(dy)/(dx)=3x^3 , y(0)=9	$\frac{d y}{d x} = 3 x^{3}$ , $y (0) = 9$
78171	Solve the Differential Equation	(dx)/(dy)=-x/y	$\frac{d x}{d y} = - \frac{x}{y}$
78172	Solve the Differential Equation	(dy)/(dx)+3y=e^(4x)	$\frac{d y}{d x} + 3 y = e^{4 x}$
78173	Solve the Differential Equation	x^2(dw)/(dx) = square root of w(9x+5)	$x^{2} \frac{d w}{d x} = \sqrt{w} (9 x + 5)$
78174	Solve the Differential Equation	(dy)/(dx)=e^(-x-y)	$\frac{d y}{d x} = e^{- x - y}$
78175	Solve the Differential Equation	(d^2x)/(dt^2)=e^(2t)	$\frac{d^{2} x}{d t^{2}} = e^{2 t}$
78176	Solve the Differential Equation	4y''''=6-4ycot(x)	$4 y'' = 6 - 4 y \cot (x)$
78177	Solve the Differential Equation	y''''=2/(sin(9x))	$y'' = \frac{2}{\sin (9 x)}$
78178	Solve the Differential Equation	(dy)/(dx) = square root of 2x+3y	$\frac{d y}{d x} = \sqrt{2 x + 3 y}$
78179	Solve the Differential Equation	y''''+y/(2x)=x/(y^3)	$y'' + \frac{y}{2 x} = \frac{x}{y^{3}}$
78180	Solve the Differential Equation	(dy)/(dx)=(1+2x) y , y(0)=1 의 제곱근	$\frac{d y}{d x} = (1 + 2 x) \sqrt{y}$ , $y (0) = 1$
78181	Solve the Differential Equation	(dy)/(dx)=(3x^2)/(8y)	$\frac{d y}{d x} = \frac{3 x^{2}}{8 y}$
78182	Solve the Differential Equation	(dy)/(dx)=y+y^3	$\frac{d y}{d x} = y + y^{3}$
78183	Solve the Differential Equation	1/(y^2)y''''=-x/(e^x)	$\frac{1}{y^{2}} y'' = - \frac{x}{e^{x}}$
78184	Solve the Differential Equation	(2x-3)y''''-xy''''+y=0	$(2 x - 3) y'' - x y'' + y = 0$
78185	Solve the Differential Equation	y''''=y/x+4	$y'' = \frac{y}{x} + 4$
78186	Solve the Differential Equation	(dy)/(dx)-y/x=1/x	$\frac{d y}{d x} - \frac{y}{x} = \frac{1}{x}$
78187	Solve the Differential Equation	xdx=-(4y-4x)dy	$x d x = - (4 y - 4 x) d y$
78188	Solve the Differential Equation	(d^2y)/(dx^2) = square root of 1+(dy)/(dx)	$\frac{d^{2} y}{d x^{2}} = \sqrt{1 + \frac{d y}{d x}}$
78189	Solve the Differential Equation	x(y^2-1)dx+y(x^2-1)dy=0	$x (y^{2} - 1) d x + y (x^{2} - 1) d y = 0$
78190	Solve the Differential Equation	(dy)/(dt)+3y=7 , y(0)=1	$\frac{d y}{d t} + 3 y = 7$ , $y (0) = 1$
78191	Solve the Differential Equation	(x-6y)dx+5xdy=0	$(x - 6 y) d x + 5 x d y = 0$
78192	Solve the Differential Equation	(dy)/(dt)=2y^2t , y(3)=1	$\frac{d y}{d t} = 2 y^{2} t$ , $y (3) = 1$
78193	Solve the Differential Equation	(dy)/(dx)=3x^-2 , y(1)=2	$\frac{d y}{d x} = 3 x^{- 2}$ , $y (1) = 2$
78194	Solve the Differential Equation	sin(y)(x+sin(y))dx+2x^2cos(ydy)=0	$\sin (y) (x + \sin (y)) d x + 2 x^{2} \cos (yd y) = 0$
78195	Solve the Differential Equation	(2x+y)dx-(4x+2y-1)dy=0	$(2 x + y) d x - (4 x + 2 y - 1) d y = 0$
78196	Solve the Differential Equation	y''''''''+9y=15	$y'''' + 9 y = 15$
78197	Solve the Differential Equation	(dy)/(dx)+y=x , y(0)=3	$\frac{d y}{d x} + y = x$ , $y (0) = 3$
78198	Solve the Differential Equation	(dy)/(dx)=0.2xy	$\frac{d y}{d x} = 0.2 x y$
78199	Solve the Differential Equation	f(x)=(x-7)/(x+7)	$f (x) = \frac{x - 7}{x + 7}$
78200	Solve the Differential Equation	2y''''+3y=0	$2 y'' + 3 y = 0$