1. solve the initial value problem.
(t^(2)+1)y'+2ty=tant , y(0)=2
2.find the solution to this initial value problem.
yy'=e^x+x , y(0)=y_0
y_0 is a nonzero constant.
Consider the initial value problem
y′ = 18x − 3y, y(0) = 2
(a) Solve it as a linear 1st order ODE with the method of the
integrating factor.
(b) Solve it using a substitution method.
(c) Solve it using the Laplace transform.