en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

y = - x^{2} + 2 x ln (x) - 2 + c_{1} x

Solution steps

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

Solve linear ODE:

y = - x^{2} + 2 x ln (x) - 2 + c_{1} x

y = - x^{2} + 2 x ln (x) - 2 + c_{1} x

Graph

Popular Examples

integral of (x^2+1)/(x^2-x)

\int \frac{x ^{2} + 1}{x ^{2} - x} d x

(\partial)/(\partial y)(8xln(xy))

\frac{\partial}{\partial y} (8 x ln (x y))

t^{2} \cdot y^{^{'}} + t \cdot y = 5

derivative of e^{xln(x})

\frac{d}{d x} (e^{x l n (x)})

limit as x approaches 0 of (e^x+x)^{m/x}

x \to 0 lim ((e^{x} + x)^{\frac{m}{x}})

Frequently Asked Questions (FAQ)

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