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Important information about Green's Function

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Consider the nonhomogeneous linear initial value problem

x^2y'' - 2xy' + 2y = 30x(delta)(x - 3), y(1) = 1, y'(1) = 0

Note that y(x) = x satisfies the corresponding homogeneous differential equation. Solve the initial problem using a Green's function approach. What happens to y, y' and y'' at x=3?

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This solution helps with a nonhomogeneous linear initial value problem.

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