1) . Solve the IVP:
y^''+6y^'+5y=0, y(0)=1, y^' (0)=3
2. Find the general solution to each of the following:
a) y^''+2y^'+5y=e^2x
b) y^''+2x/(x^2+1) y'=x
c) y^''+4y=1/(sin(2x)) (use variation of parameters)
1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1,
y'(1)=-2
2.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=0
3. Given that y1(x)=x is a solution of xy''-xy'+y=0 on (0,
inifinity, solve the IVP: xy''-xy'+y=2 on(0,infinity), y(3)=2,
y'(3)=1
14. solve the IVP: X'=( 1 2 3) X, X(0)=(0
##################0 1 4####### -3/8
##################0 0 1 ########1/4