What is the solution for (dy)/(dx)+xy=x^3 ?

The solution for (dy)/(dx)+xy=x^3 is y=x^2-2+(c_{1}}{e^{\frac{x^2)/2}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+xy=x^3

\frac{d y}{d x} + x y = x^{3}

y = x^{2} - 2 + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

Solution steps

\frac{d y}{d x} + x y = x^{3}

Solve linear ODE:

y = x^{2} - 2 + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

y = x^{2} - 2 + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

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

y^{^{''''}} + 10 y^{^{''}} + 9 y = 0

t \to 0 lim (3 t + 3)

\frac{x - 2}{x - 4}

\int e^{x} cos^{2} (e^{x}) d x

What is the solution for (dy)/(dx)+xy=x^3 ?
The solution for (dy)/(dx)+xy=x^3 is y=x^2-2+(c_{1}}{e^{\frac{x^2)/2}}