Question

5. It is known that the solution to the following differential equation will have a relative minimum of Assuming that the solution and its derivative exist and are continuous for all t determine the y=3. value of t, 11,, for which the solution will have this value, i.e. y(t,)-3. Note that because you don't have an initial condition you can't actually solve this differential equation. It is still possible however to answer this question. y+6y 4+7e Hint: Recall from Calc I where relative extrema may occur and don't forget the differential equation, Just because you can't solve the differential equation doesn't mean that it's not needed!

Answer 1

1Here the given Ditferenhal fmation is PPTPet Tt is aiven that, the Solution Hhe Diferential fmation hawee netative mimimum supposse tot minimun attain to at we kuae must hawe d' Cto) 0 Then AlsodCto) 3 Now puting t to in get re to 4t 7e /tO) to) to Of6 3 477e to 18-4 Fe to J4 to e 2