en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'-1/x y=x^2e^x

Solution

y^{^{'}} - \frac{1}{x} y = x^{2} e^{x}

Solution

y = e^{x} x^{2} - e^{x} x + c_{1} x

Solution steps

y^{'} (x) - \frac{1}{x} y = x^{2} e^{x}

Solve linear ODE:

y = e^{x} x^{2} - e^{x} x + c_{1} x

y = e^{x} x^{2} - e^{x} x + c_{1} x

Popular Examples

derivative of (cos(2x)/(sin(3x)))

\frac{d}{d x} (\frac{cos ( 2 x )}{sin ( 3 x )})

integral from 0 to 16 of sqrt(t^2+2t+1)

\int_{0}^{16} t^{2} + 2 t + 1 d t

y^'=((x^3y^3+4x^3))/(y^2)

y^{^{'}} = \frac{( x ^{3} y ^{3} + 4 x ^{3} )}{y ^{2}}

integral from 1/5 to 3 of 12xln(5x)

\int_{\frac{1}{5}}^{3} 12 x ln (5 x) d x

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

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

Frequently Asked Questions (FAQ)

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