What is the solution for 5(d^2y)/(dx^2)+(dy)/(dx)=0 ?

The solution for 5(d^2y)/(dx^2)+(dy)/(dx)=0 is y=c_{1}+c_{2}e^{-x/5}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

y = c_{1} + c_{2} e^{- \frac{x}{5}}

Solution steps

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{x}{5}}

y = c_{1} + c_{2} e^{- \frac{x}{5}}

2 y^{^{'''}} + 9 y^{^{''}} - 6 y^{^{'}} - 5 y = 0

y^{^{''}} + 8 y^{^{'}} + 4 y = 0, y (0) = 0

16 y^{^{''}} + 56 y^{^{'}} + 49 y = 0, y (0) = 5

81 y^{^{''''}} - 625 y = 0

(d^{6} - 1) y = 0

What is the solution for 5(d^2y)/(dx^2)+(dy)/(dx)=0 ?
The solution for 5(d^2y)/(dx^2)+(dy)/(dx)=0 is y=c_{1}+c_{2}e^{-x/5}