en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

xy^'-x^2y=-x^2

Solution

x y^{^{'}} - x^{2} y = - x^{2}

Solution

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

Solution steps

x y^{'} (x) - x^{2} y = - x^{2}

Solve separable ODE:

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

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

Graph

Popular Examples

(\partial)/(\partial y)(-1/(x^2y))

integral of cos(5x+7)

integral of sin(3x)+cos(5x)

inverse oflaplace (3s+3)/(s^2-9)

Frequently Asked Questions (FAQ)

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