8i. Using the power series method, find complete solutions for the following differential equation

Solution:

The general solution of the equation :

The graph of solution curves:

2.4-5 #8i

> restart;

General Solution:

> f:=c1/2*cos(x)/sqrt(x)+c2/2*sin(x)/sqrt(x);

Generate family of solution curves:

> f:={seq(seq(f,c1=-3..3),c2=-3..3)}:

> plot(f,x=0..4,y=-5..5,color=black);