Solving nonlinear first order DE w/ fractional exponents

[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?

 

[chiro]

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]

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]

Hello,

Solutionof the ODE in attachment :