Question: a) Verify that the function y = x^2 + c/x^2 is a solution of the different equation xy' + 2y = 4x^2, (x > 0)

a) Verify that the function

y = x^2 + c/x^2

is a solution of the different equation

xy' + 2y = 4x^2, (x > 0)

b) Find the value of c for which the solution satisfies the initial condition y(7) = 8

c = ?

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