What is the solution for (d^2y)/(dx^2)+5(dy)/(dx)+6y=2e^x ?

The solution for (d^2y)/(dx^2)+5(dy)/(dx)+6y=2e^x is y=c_{1}e^{-2x}+c_{2}e^{-3x}+1/6 e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2y)/(dx^2)+5(dy)/(dx)+6y=2e^x

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 2 e^{x}

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + \frac{1}{6} e^{x}

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 6 y = 2 e^{x}

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + \frac{1}{6} e^{x}

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + \frac{1}{6} e^{x}

y = x^{3 c o s (x)}

\int x^{5} d x

\int sec (t) (sec (t) - tan (t)) d t

\frac{d}{d x} (\frac{1}{f ( x ) ( x ) ^{- 1} ( x )})

d s = 2 s d t

What is the solution for (d^2y)/(dx^2)+5(dy)/(dx)+6y=2e^x ?
The solution for (d^2y)/(dx^2)+5(dy)/(dx)+6y=2e^x is y=c_{1}e^{-2x}+c_{2}e^{-3x}+1/6 e^x