What is the solution for 3/2 (d^2y)/(dx^2)+1/80 (dy)/(dx)=g ?

The solution for 3/2 (d^2y)/(dx^2)+1/80 (dy)/(dx)=g is y=c_{1}+c_{2}e^{-x/(120)}+80gx

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

3/2 (d^2y)/(dx^2)+1/80 (dy)/(dx)=g

\frac{3}{2} \frac{d ^{2} y}{d x ^{2}} + \frac{1}{80} \frac{d y}{d x} = g

y = c_{1} + c_{2} e^{- \frac{x}{120}} + 80 gx

Solution steps

\frac{3}{2} \frac{d ^{2} y}{d x ^{2}} + \frac{1}{80} \frac{d y}{d x} = g

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{x}{120}} + 80 gx

y = c_{1} + c_{2} e^{- \frac{x}{120}} + 80 gx

What is the solution for 3/2 (d^2y)/(dx^2)+1/80 (dy)/(dx)=g ?
The solution for 3/2 (d^2y)/(dx^2)+1/80 (dy)/(dx)=g is y=c_{1}+c_{2}e^{-x/(120)}+80gx