What is the solution for (d^2y)/(dx^2)+9y=5sin(4x) ?

The solution for (d^2y)/(dx^2)+9y=5sin(4x) is y=c_{1}cos(3x)+c_{2}sin(3x)-5/7 sin(4x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(d^2y)/(dx^2)+9y=5sin(4x)

\frac{d ^{2} y}{d x ^{2}} + 9 y = 5 sin (4 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{5}{7} sin (4 x)

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 9 y = 5 sin (4 x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{5}{7} sin (4 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{5}{7} sin (4 x)

What is the solution for (d^2y)/(dx^2)+9y=5sin(4x) ?
The solution for (d^2y)/(dx^2)+9y=5sin(4x) is y=c_{1}cos(3x)+c_{2}sin(3x)-5/7 sin(4x)