What is the solution for y^{''}+6y=8t ?

The solution for y^{''}+6y=8t is y=c_{1}cos(sqrt(6)t)+c_{2}sin(sqrt(6)t)+(4t)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y^{''}+6y=8t

y^{^{''}} + 6 y = 8 t

y = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{4 t}{3}

Solution steps

y^{''} (t) + 6 y = 8 t

Solve linear ODE:

y = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{4 t}{3}

y = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{4 t}{3}

What is the solution for y^{''}+6y=8t ?
The solution for y^{''}+6y=8t is y=c_{1}cos(sqrt(6)t)+c_{2}sin(sqrt(6)t)+(4t)/3