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Solving nonlinear first order DE w/ fractional exponents

by hotwheelharry
Tags: exponents, fractional, nonlinear, order, solving, w or
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hotwheelharry
#1
Mar31-12, 11:39 PM
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?
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chiro
#2
Apr1-12, 12:20 AM
P: 4,572
Quote Quote by hotwheelharry View Post
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?
hotwheelharry
#3
Apr1-12, 12:40 AM
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.

JJacquelin
#4
Apr1-12, 05:06 AM
P: 756
Solving nonlinear first order DE w/ fractional exponents

Hello,

Solutionof the ODE in attachment :
Attached Thumbnails
ODE LambertW.JPG  


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