Any help with solving this first-order nonlinear ODE would be greatly appreciated! I do believe that an explicit solution exists. 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.