en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+5y^'+6=1

Solution

y^{^{''}} + 5 y^{^{'}} + 6 = 1

Solution

y = c_{1} + c_{2} e^{- 5 t} - t

Solution steps

y^{''} (t) + 5 y^{'} (t) + 6 = 1

Solve linear ODE:

y = c_{1} + c_{2} e^{- 5 t} - t

y = c_{1} + c_{2} e^{- 5 t} - t

Popular Examples

laplacetransform 3e^{-4t}laplace transform

3 e^{- 4 t}

derivative of (4x+3)(2x^2+7x-1)derivative of

(4 x + 3) (2 x^{2} + 7 x - 1)

integral of x^2-21

\int x^{2} - 21 d x

integral of (x+3)/(x(2x-1)^2(x+1)^2)

\int \frac{x + 3}{x ( 2 x - 1 ) ^{2} ( x + 1 ) ^{2}} d x

derivative of (x^2-2sqrt(x))/x derivative of

\frac{x ^{2} - 2 x}{x}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+5y^'+6=1 ?
The solution for y^{''}+5y^'+6=1 is y=c_{1}+c_{2}e^{-5t}-t