en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of (cos(x)+1)^2-(sin(x)+1)^2

\int (cos (x) + 1)^{2} - (sin (x) + 1)^{2} d x

-2((dy)/(dx))+6x^2=0

- 2 (\frac{d y}{d x}) + 6 x^{2} = 0

y^{''}+25y=-40sec(5t)

y^{^{''}} + 25 y = - 40 sec (5 t)

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

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

limit as x approaches 2 of (x^2)^2

x \to 2 lim ((x^{2})^{2})

Frequently Asked Questions (FAQ)

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