en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-9y^'=54

Solution

y^{^{''}} - 9 y^{^{'}} = 54

Solution

y = c_{1} e^{9 t} + c_{2} - 6 t

Solution steps

y^{''} (t) - 9 y^{'} (t) = 54

Solve linear ODE:

y = c_{1} e^{9 t} + c_{2} - 6 t

y = c_{1} e^{9 t} + c_{2} - 6 t

Popular Examples

y^{''}+y^'-2y=1+x

y^{^{''}} + y^{^{'}} - 2 y = 1 + x

y^{''}-4y^'+4y=sin(4x)

y^{^{''}} - 4 y^{^{'}} + 4 y = sin (4 x)

y^{''}+6y^'+9y=e^{3x}ln(x)

y^{^{''}} + 6 y^{^{'}} + 9 y = e^{3 x} ln (x)

y^{''}-3y^'+2y=6e^x-2xe^{2x}+2

y^{^{''}} - 3 y^{^{'}} + 2 y = 6 e^{x} - 2 x e^{2 x} + 2

y^{''}+3y^'-6y=xe^{2x}

y^{^{''}} + 3 y^{^{'}} - 6 y = x e^{2 x}

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-9y^'=54 ?
The solution for y^{''}-9y^'=54 is y=c_{1}e^{9t}+c_{2}-6t