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
Solve STEP BY STEP using power series about x =
-1,
4(x+1)^2 y'' - 2(x+1)(x+3) y' + (x+4) y = 0.
note, solve by power series, variable transformation
by letting:
w= x+1 = 0