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+1

Solution

x y^{^{'}} - y = 2 x^{2} - x + 1

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

y^{''}+16y=3sec(4t)

y^{^{''}} + 16 y = 3 sec (4 t)

derivative of f(x)=(8x+x^2)/((4+x)^2)derivative of

f (x) = \frac{8 x + x ^{2}}{( 4 + x ) ^{2}}

(\partial)/(\partial L)(-sqrt(2{K)^2+L^2})

\frac{\partial}{\partial L} (- 2 K^{2} + L^{2})

integral from 2 to 4 of 1/((x-2)^3)

\int_{2}^{4} \frac{1}{( x - 2 ) ^{3}} d x

integral of 1/(5(x^2+1))

\int \frac{1}{5 ( x ^{2} + 1 )} d x

Frequently Asked Questions (FAQ)

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