Any help with solving this first-order nonlinear ODE would be greatly appreciated! I do believe that an explicit solution exists.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

dy/dt = 1/(4t^2) + 1/2 + 1/2*y/t - 1/(2t)*((1+4ty)^(1/2))

I was led to believe that it could be solved by turning it into a linear differential equation. Perhaps by an appropriate substitution, although I have not had any luck with finding something that works here.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help with nonlinear ordinary differential equation

**Physics Forums | Science Articles, Homework Help, Discussion**