What is the solution for D^2(D+3)^2y=0 ?

The solution for D^2(D+3)^2y=0 is y=c_{1}+c_{2}x+c_{3}e^{-3x}+c_{4}xe^{-3x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

D^2(D+3)^2y=0

D^{2} (D + 3)^{2} y = 0

y = c_{1} + c_{2} x + c_{3} e^{- 3 x} + c_{4} x e^{- 3 x}

Solution steps

D^{2} (D + 3)^{2} y = 0

Solve linear ODE:

y = c_{1} + c_{2} x + c_{3} e^{- 3 x} + c_{4} x e^{- 3 x}

y = c_{1} + c_{2} x + c_{3} e^{- 3 x} + c_{4} x e^{- 3 x}

(d^{4} + i^{2}) y = 0

y^{^{''}} + 9 y = 0, y (0) = 10, y^{^{'}} (0) = 0

4 \frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 3 y = 0

y^{^{''''}} + 2 y^{^{'''}} + 37 y^{^{''}} + 72 y^{^{'}} + 36 y = 0

\frac{d ^{2} y}{d x ^{2}} + y = 0, y = 1, y^{^{'}} = 0

What is the solution for D^2(D+3)^2y=0 ?
The solution for D^2(D+3)^2y=0 is y=c_{1}+c_{2}x+c_{3}e^{-3x}+c_{4}xe^{-3x}