What is the solution for y^{''}-9y=sin(x) ?

The solution for y^{''}-9y=sin(x) is y=c_{1}e^{3x}+c_{2}e^{-3x}-1/10 sin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-9y=sin(x)

y^{^{''}} - 9 y = sin (x)

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - \frac{1}{10} sin (x)

Solution steps

y^{''} (x) - 9 y = sin (x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - \frac{1}{10} sin (x)

y = c_{1} e^{3 x} + c_{2} e^{- 3 x} - \frac{1}{10} sin (x)

\frac{d ^{2} u}{d y ^{2}} - 4 u + 6 = 0

y^{^{''}} - 16 y = 32 + 45 e^{x}, y (0) = 0

y^{^{'''}} - 81 y^{^{'}} = t e^{- 9 t} + 10 cos (9 t)

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y - e^{x} = 0

y^{^{''}} + 16 y = 5 sec (4 t)

What is the solution for y^{''}-9y=sin(x) ?
The solution for y^{''}-9y=sin(x) is y=c_{1}e^{3x}+c_{2}e^{-3x}-1/10 sin(x)