What is the solution for y^{''}+36y=24cos(6x)-12sin(6x) ?

The solution for y^{''}+36y=24cos(6x)-12sin(6x) is y=c_{1}cos(6x)+c_{2}sin(6x)+2xsin(6x)+xcos(6x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+36y=24cos(6x)-12sin(6x)

y^{^{''}} + 36 y = 24 cos (6 x) - 12 sin (6 x)

y = c_{1} cos (6 x) + c_{2} sin (6 x) + 2 x sin (6 x) + x cos (6 x)

Solution steps

y^{''} (x) + 36 y = 24 cos (6 x) - 12 sin (6 x)

Solve linear ODE:

y = c_{1} cos (6 x) + c_{2} sin (6 x) + 2 x sin (6 x) + x cos (6 x)

y = c_{1} cos (6 x) + c_{2} sin (6 x) + 2 x sin (6 x) + x cos (6 x)

y^{^{''}} - 4 y = 4 t - 4, y (0) = 2, y^{^{'}} (0) = 9

y^{^{''}} - 2 y^{^{'}} - 3 y = 4 e^{x} - 3

y^{^{''}} + 4 y = x cos (x)

y^{^{''}} + y^{^{'}} + y = 2 cos (2 x) - 3 sin (2 x)

y^{^{''}} + y^{^{'}} - 6 y = 6 x^{3} - 3 x^{2} + 12 x

What is the solution for y^{''}+36y=24cos(6x)-12sin(6x) ?
The solution for y^{''}+36y=24cos(6x)-12sin(6x) is y=c_{1}cos(6x)+c_{2}sin(6x)+2xsin(6x)+xcos(6x)