What is the solution for 9(d^2y)/(dx^2)+6(dy)/(dx)+y=0 ?

The solution for 9(d^2y)/(dx^2)+6(dy)/(dx)+y=0 is y=c_{1}e^{-x/3}+c_{2}e^{-x/3}x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9(d^2y)/(dx^2)+6(dy)/(dx)+y=0

9 \frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + y = 0

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

Solution steps

9 \frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + y = 0

Solve linear ODE:

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

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

u^{''} - u^{'} - 2 H (t) = 0

y^{^{''}} + 0.25 y^{^{'}} + y = 0

2 y^{^{'''}} + 5 y^{^{''}} - 28 y^{^{'}} - 15 y = 0

4 y^{^{''}} - 20 y^{^{'}} + 169 y = 0

2 y^{^{''}} - 7 y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 5.5

What is the solution for 9(d^2y)/(dx^2)+6(dy)/(dx)+y=0 ?
The solution for 9(d^2y)/(dx^2)+6(dy)/(dx)+y=0 is y=c_{1}e^{-x/3}+c_{2}e^{-x/3}x