en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

y^'+4x^3y=x^3

Solution

y^{^{'}} + 4 x^{3} y = x^{3}

Solution

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

Solution steps

y^{'} (x) + 4 x^{3} y = x^{3}

Solve separable ODE:

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

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

Graph

Popular Examples

integral of (1-x)sqrt(x)

limit as x approaches infinity of 0.6^x

derivative of (x+(x+sin^2(x)^7)^3)

integral of t^2e^{-t^3}

laplacetransform x^4

Frequently Asked Questions (FAQ)

What is the solution for y^'+4x^3y=x^3 ?
The solution for y^'+4x^3y=x^3 is y=(e^{-x^4+c_{1}})/4+1/4