What is the solution for y^{''}-7y^'+12y=-288t^3 ?

The solution for y^{''}-7y^'+12y=-288t^3 is y=c_{1}e^{4t}+c_{2}e^{3t}-24t^3-42t^2-37t-175/12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y^{''}-7y^'+12y=-288t^3

y^{^{''}} - 7 y^{^{'}} + 12 y = - 288 t^{3}

y = c_{1} e^{4 t} + c_{2} e^{3 t} - 24 t^{3} - 42 t^{2} - 37 t - \frac{175}{12}

Solution steps

y^{''} (t) - 7 y^{'} (t) + 12 y = - 288 t^{3}

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{3 t} - 24 t^{3} - 42 t^{2} - 37 t - \frac{175}{12}

y = c_{1} e^{4 t} + c_{2} e^{3 t} - 24 t^{3} - 42 t^{2} - 37 t - \frac{175}{12}

What is the solution for y^{''}-7y^'+12y=-288t^3 ?
The solution for y^{''}-7y^'+12y=-288t^3 is y=c_{1}e^{4t}+c_{2}e^{3t}-24t^3-42t^2-37t-175/12