difference between implicit and explicit solutions? What is difference between implicit and explicit solution of an initial value problem?
Please explain with example both solutions(implicit and explicit)of same initial value problem? Or without example but in some way that is understandable.
thanks

Explicit solution is a solution where the dependent variable can be separated. For example, $x+2y=0$ is explicit because if y is dependent, I can rewrite it as $y=-\frac{x}{2}$ and my y has been separated. 
Implicit is when the dependent variable cannot be separated like $\sin(x+e^y)=3y$.
