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Consider the equation ty+ty' +2y = 0. (a) Show that r = 0 and r=1 are the two roots of the indicial equation. (b)

 

Consider the equation ty"+ty' +2y = 0. (a) Show that r = 0 and r=1 are the two roots of the indicial equation. (b) Find one solution of the form y(t)=t ant". n=0 (c) Find a second solution using the method of reduction of order.

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