• GENERAL SOLUTION. INITIAL VALUE PROBLEMS

Find the general solution. If an initial condition is given, find also the corresponding particular solution and graph or sketch it (Show the details of your work.)

1. X³y' + 3x²y = 5 sinh 10x

• NONLINEAR ODEs

Using a method of this section or separating variables. find the general solution. If an initial condition is given, find also the particular solution and sketch or graph it.

1. y' + (x+1) y = e^{x^2} y³, y(0) = 0.5