en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dy)+4xy=x

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

y^'+(4x)/(x^2+2)y=0

y^{^{'}} + \frac{4 x}{x ^{2} + 2} y = 0

(dy)/(dx)=((1-x^2))/(y^2)

\frac{d y}{d x} = \frac{( 1 - x ^{2} )}{y ^{2}}

(dy)/(dt)+20y=24,y(0)=0

\frac{d y}{d t} + 20 y = 24, y (0) = 0

e^{2x}y^'=x(cos(y))^2

e^{2 x} y^{^{'}} = x (cos (y))^{2}

(dy)/(dx)=x(6-y),y=0,x=0

\frac{d y}{d x} = x (6 - y), y = 0, x = 0

Frequently Asked Questions (FAQ)

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