## Question

###### 5. Consider the IVP t2y" + ty' 4y = 0, 9(1) = 0,y (1) = 1 Classify the differential equationby order; linear_ nonlinear; homogenious /nonhomogenious. (3 pts) () Confirm that the set of vectors {t- 2, t2} is a basis of the solution space: (10 pts) (c) Solve the IVP (5 pts)

5. Consider the IVP t2y" + ty' 4y = 0, 9(1) = 0,y (1) = 1 Classify the differential equationby order; linear_ nonlinear; homogenious /nonhomogenious. (3 pts) () Confirm that the set of vectors {t- 2, t2} is a basis of the solution space: (10 pts) (c) Solve the IVP (5 pts)

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