I have the following differential equation which I want to solve for as a function of
where are constants.
Can anyone suggest a method for solving this equation.
Since your expression is separable, you will need to integrate the inverse of the RHS with respect to y. You will have a ratio of two polynomials which means you will need to look at a variety of methods like partial fractions, substitutions, logarithm derivatives and so on.
Have you got access to a table of integrals? If not do a google search and take a look.
That will depend on the answer you get. If you can't get y = f(x) then you will have to leave it at that.
Also you can still evaluate y as a function of x using implicit differentiation and putting that through a numerical solver with enough accuracy to keep errors below some threshold: this is what is typically done if you have an implicit function (something that doesn't have y = f(x)).