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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2y)/(dx^2)+(dy)/(dx)-6y=6

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

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

Solution steps

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

Solve linear ODE:

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

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

2 y^{^{''}} + y^{^{'}} + 3 y = 3 cos (3 t) + 2 sin (3 t)

y^{^{''}} - y = x^{2}, y (0) = - 3, y^{^{'}} (0) = 5

x^{^{''}} - 6 x^{^{'}} + 13 x = 2197 t^{2}

(d^{2} + 1) y = e^{x}

y^{^{''}} + 2 y^{^{'}} + 5 = e^{x}

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