Question: 4. Consider the differential equation: (1 - t )y ty' tty =0, t 4. Consider the differential equation: (a) (4 points) Show that y =

4. Consider the differential equation: (a) (4 points) Show that y =

4. Consider the differential equation: (1 - t )y" ty' tty =0, t

4. Consider the differential equation: (a) (4 points) Show that y = e is a solution. (b) (11 points) Use reduction of order to find a second independent solution. (Hint: first put the differential equation into proper form.)

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