What is the solution for y^{''}-12y^'+36y=5e^2x ?

The solution for y^{''}-12y^'+36y=5e^2x is y=c_{1}e^{6x}+c_{2}xe^{6x}+(5e^2x)/(36)+(5e^2)/(108)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-12y^'+36y=5e^2x

y^{^{''}} - 12 y^{^{'}} + 36 y = 5 e^{2} x

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{5 e ^{2} x}{36} + \frac{5 e ^{2}}{108}

Solution steps

y^{''} (x) - 12 y^{'} (x) + 36 y = 5 e^{2} x

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{5 e ^{2} x}{36} + \frac{5 e ^{2}}{108}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{5 e ^{2} x}{36} + \frac{5 e ^{2}}{108}

a y^{^{''}} + b y^{^{'}} + y = c

y^{^{''}} + 4 y^{^{'}} - 5 y = 3 e^{t}

y^{^{''}} - 4 y^{^{'}} + 4 y = x^{- 4} \cdot e^{2 x}

y^{^{''}} + 5 y^{^{'}} + 4 y = 8 x^{2} + 3 + 2 cos (2 x)

2 y^{^{''}} - 3 y^{^{'}} + y = 64

What is the solution for y^{''}-12y^'+36y=5e^2x ?
The solution for y^{''}-12y^'+36y=5e^2x is y=c_{1}e^{6x}+c_{2}xe^{6x}+(5e^2x)/(36)+(5e^2)/(108)