What is the solution for y^{''}-6y^'+9y=5t^{-1}e^{3t} ?

The solution for y^{''}-6y^'+9y=5t^{-1}e^{3t} is y=c_{1}e^{3t}+c_{2}te^{3t}-5e^{3t}t+5e^{3t}tln(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-6y^'+9y=5t^{-1}e^{3t}

y^{^{''}} - 6 y^{^{'}} + 9 y = 5 t^{- 1} e^{3 t}

y = c_{1} e^{3 t} + c_{2} t e^{3 t} - 5 e^{3 t} t + 5 e^{3 t} t ln (t)

Solution steps

y^{''} (t) - 6 y^{'} (t) + 9 y = 5 t^{- 1} e^{3 t}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} t e^{3 t} - 5 e^{3 t} t + 5 e^{3 t} t ln (t)

y = c_{1} e^{3 t} + c_{2} t e^{3 t} - 5 e^{3 t} t + 5 e^{3 t} t ln (t)

\int \frac{x ^{2}}{5 - x ^{3}} d x

\frac{d}{d x} (\frac{( x ^{2} + x ) ( 2 x + 1 )}{4 x})

\int 4 x - x e^{x} + e d x

\frac{\partial}{\partial y} (2 x y e^{x^{2}})

\frac{d}{d x} (- x^{4} cos (x))

What is the solution for y^{''}-6y^'+9y=5t^{-1}e^{3t} ?
The solution for y^{''}-6y^'+9y=5t^{-1}e^{3t} is y=c_{1}e^{3t}+c_{2}te^{3t}-5e^{3t}t+5e^{3t}tln(t)