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Verify that the function y=x^2+c/x^2 is a solution of the differential equation xy′+2y=4x^2, (x>0). b) Find...

Verify that the function

y=x^2+c/x^2

is a solution of the differential equation

xy′+2y=4x^2, (x>0).

b) Find the value of c for which the solution satisfies the initial condition y(4)=3.

c=

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