Question

In: Advanced Math

Let   y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´...

Let   y(t) = (1 + t)^2 solution of the differential equation y´´ (t) + p (t) y´ (t) + q (t) y (t) = 0 (*)

If the Wronskian of two solutions of (*) equals three.

(a) ffind p(t) and q(t)

(b) Solve y´´ (t) + p (t) y´ (t) + q (t) y (t) = 1 + t

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