# Solving nonlinear first order DE w/ fractional exponents

by hotwheelharry
Tags: exponents, fractional, nonlinear, order, solving, w or
 P: 8 Hello. I have simple DE y' + p y^(1/2) = q --------------- y'=dy/dt p,q=constant I am confused because I tried bernoulli's method to solve and I think I exploded the universe. Basically, my initial condition of t=0,y=0 made infinity, not right. I'm not sure that method works when there is no y^(1) with q anyway. Any other suggestions to solve?
P: 4,546
 Quote by hotwheelharry Hello. I have simple DE y' + p y^(1/2) = q --------------- y'=dy/dt p,q=constant I am confused because I tried bernoulli's method to solve and I think I exploded the universe. Basically, my initial condition of t=0,y=0 made infinity, not right. I'm not sure that method works when there is no y^(1) with q anyway. Any other suggestions to solve?
Do you need an analytic answer or can you use a computer to show it's behaviour through a numeric scheme? Also did you try wolfram alpha?
 P: 8 Haha, totally forgot about wolfram alpha. sooo good. Anyway the solution it gave me is way to complex for my college DEQ class. I should probably change my equation. Thanks anyways.
P: 720

## Solving nonlinear first order DE w/ fractional exponents

Hello,

Solutionof the ODE in attachment :
Attached Thumbnails

 Related Discussions Differential Equations 8 Differential Equations 7 Differential Equations 2 Differential Equations 11 Differential Equations 1