Question Sheet 8 - Challenge Problem

1.a) Solve the following 1st order ODE using Mathematica: x*(dy/dx)=(x^2)+3y.

b) What command can be used to clear the value of y if ‘=’ is used instead of ‘==’?

c) Now solve it using the boundary condition y(1)=0.

d) Now solve it using the initial condition y(0)=0.

e) You should get the following error message:

Why has this error message appeared? Why is the ouput the same as in part a?