Question: kindly answer it shortly 9. (a) Solve the differential equation dy dt (* * ) where o and 0 are positive constants, and prove that
kindly answer it shortly

9. (a) Solve the differential equation dy dt (* * ) where o and 0 are positive constants, and prove that y(t) > 0, as { > co, whatever the initial value y(0). [Hint: Let z =y 0.] (b) The differential equation (**) is often used as a model for mean re- version in physical and financial systems. We can also modify (**) to include a shock of magnitude o occurring for to to + h. ( c) What is the lim
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