What is the solution for y^{''}-2y^'+y=x^3+9x ?

The solution for y^{''}-2y^'+y=x^3+9x is y=c_{1}e^x+c_{2}xe^x+x^3+6x^2+27x+42

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y^{''}-2y^'+y=x^3+9x

y^{^{''}} - 2 y^{^{'}} + y = x^{3} + 9 x

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 27 x + 42

Solution steps

y^{''} (x) - 2 y^{'} (x) + y = x^{3} + 9 x

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 27 x + 42

y = c_{1} e^{x} + c_{2} x e^{x} + x^{3} + 6 x^{2} + 27 x + 42

What is the solution for y^{''}-2y^'+y=x^3+9x ?
The solution for y^{''}-2y^'+y=x^3+9x is y=c_{1}e^x+c_{2}xe^x+x^3+6x^2+27x+42