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Popular >

(dx)/(dy)=y-4xy

Solution

\frac{d x}{d y} = y - 4 x y

Solution

x = \frac{e ^{- 2 y^{2} + c_{1}}}{4} + \frac{1}{4}

Solution steps

\frac{d x}{d y} = y - 4 x y

Solve separable ODE:

x = \frac{e ^{- 2 y^{2} + c_{1}}}{4} + \frac{1}{4}

x = \frac{e ^{- 2 y^{2} + c_{1}}}{4} + \frac{1}{4}

Graph

Popular Examples

(dy)/(dt)+2(t+1)y^2=0,y(0)=-1/15

\frac{d y}{d t} + 2 (t + 1) y^{2} = 0, y (0) = - \frac{1}{15}

10y^'-2y-63=9y^'

10 y^{^{'}} - 2 y - 63 = 9 y^{^{'}}

y^5(dy)/(dx)=4x^4y^6-12x^4

y^{5} \frac{d y}{d x} = 4 x^{4} y^{6} - 12 x^{4}

y^'+tan(4*x)y=0

y^{^{'}} + tan (4 \cdot x) y = 0

2y^'=y^3cos(x),y(0)=(1-sin(x))^{-1/2}

2 y^{^{'}} = y^{3} cos (x), y (0) = (1 - sin (x))^{- \frac{1}{2}}

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dy)=y-4xy ?
The solution for (dx)/(dy)=y-4xy is x=(e^{-2y^2+c_{1}})/4+1/4