What is the solution for y^{''}+9y=30sin(t) ?

The solution for y^{''}+9y=30sin(t) is y=c_{1}cos(3t)+c_{2}sin(3t)+15/4 sin(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y^{''}+9y=30sin(t)

y^{^{''}} + 9 y = 30 sin (t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{15}{4} sin (t)

Solution steps

y^{''} (t) + 9 y = 30 sin (t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{15}{4} sin (t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{15}{4} sin (t)

What is the solution for y^{''}+9y=30sin(t) ?
The solution for y^{''}+9y=30sin(t) is y=c_{1}cos(3t)+c_{2}sin(3t)+15/4 sin(t)