Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation. y (d y)/(d x)=x^2 | Numerade

SOLVED: In each of Problems 5 through 10, verify that each given function is a solution of the differential equation.7. ty' - y = t^2; y = 3t t^2(Can you please explain the process?)

SOLVED:Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. 2 y^' y=0 ; y=e^-x / 2