What is the solution for 6y^{''}-13y^'-5y=5x^3+39x^2-36x-10 ?

The solution for 6y^{''}-13y^'-5y=5x^3+39x^2-36x-10 is y=c_{1}e^{(5x)/2}+c_{2}e^{-x/3}-x^3+2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

6y^{''}-13y^'-5y=5x^3+39x^2-36x-10

6 y^{^{''}} - 13 y^{^{'}} - 5 y = 5 x^{3} + 39 x^{2} - 36 x - 10

y = c_{1} e^{\frac{5 x}{2}} + c_{2} e^{- \frac{x}{3}} - x^{3} + 2

Solution steps

6 y^{''} (x) - 13 y^{'} (x) - 5 y = 5 x^{3} + 39 x^{2} - 36 x - 10

Solve linear ODE:

y = c_{1} e^{\frac{5 x}{2}} + c_{2} e^{- \frac{x}{3}} - x^{3} + 2

y = c_{1} e^{\frac{5 x}{2}} + c_{2} e^{- \frac{x}{3}} - x^{3} + 2

What is the solution for 6y^{''}-13y^'-5y=5x^3+39x^2-36x-10 ?
The solution for 6y^{''}-13y^'-5y=5x^3+39x^2-36x-10 is y=c_{1}e^{(5x)/2}+c_{2}e^{-x/3}-x^3+2