What is the solution for y^{''}-6y^'-7y=-9e^{-2x} ?

The solution for y^{''}-6y^'-7y=-9e^{-2x} is y=c_{1}e^{7x}+c_{2}e^{-x}-e^{-2x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-6y^'-7y=-9e^{-2x}

y^{^{''}} - 6 y^{^{'}} - 7 y = - 9 e^{- 2 x}

y = c_{1} e^{7 x} + c_{2} e^{- x} - e^{- 2 x}

Solution steps

y^{''} (x) - 6 y^{'} (x) - 7 y = - 9 e^{- 2 x}

Solve linear ODE:

y = c_{1} e^{7 x} + c_{2} e^{- x} - e^{- 2 x}

y = c_{1} e^{7 x} + c_{2} e^{- x} - e^{- 2 x}

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

y^{^{''}} - 16 y = (x + 1) e^{x}

y^{^{''}} + 9 y = 13 e^{2 x} + 10 sin (2 x)

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

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

What is the solution for y^{''}-6y^'-7y=-9e^{-2x} ?
The solution for y^{''}-6y^'-7y=-9e^{-2x} is y=c_{1}e^{7x}+c_{2}e^{-x}-e^{-2x}