Question: Help with IVP ODEs

Hi,

I'm going nuts trying to get the commands(code) to solve the following two problems:

Problem 1 Verify that the given function is a solution of the initial value problem.

y:=x^2*(1+ln(x));       y'':=(3*x*y-4*y)/(x^2                      y(e)=2e^2        y'(e)=5e

 

Problem 2 Verify that the given function is a solution of the initial value problem.

y:= x*cos(x)     y':= cos(x) - y * tan(x)            y(Pi/4)=Pi/4*sqrt(2)

 

Hints and help will save me from going nuts! :)

 

TIA

The maltster

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