What is the solution for y^{''}+16y=5sin(x) ?

The solution for y^{''}+16y=5sin(x) is y=c_{1}cos(4x)+c_{2}sin(4x)+1/3 sin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y^{''}+16y=5sin(x)

y^{^{''}} + 16 y = 5 sin (x)

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

Solution steps

y^{''} (x) + 16 y = 5 sin (x)

Solve linear ODE:

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

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

What is the solution for y^{''}+16y=5sin(x) ?
The solution for y^{''}+16y=5sin(x) is y=c_{1}cos(4x)+c_{2}sin(4x)+1/3 sin(x)