Using the fact that y 1 ( x ) = e x is solution of the
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Question:
Using the fact that y1(x) = e x is solution of the second order linear homogeneous DE
(8 + 4x) y′′ − 4 y′ − (4 + 4 x) y = 0,
find a second linearly independent solution y2(x) using the method of reduction of order (Do NOT enter y2(x) as part of your answer) and then find the unique solution of the above DE satisfying the initial conditions
y(0) = −16, y′(0) = 16
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