Question: Let y(t)=6et4-4. In this problem, you will show that this function satisfies the differential equation dydt-4t3y=16t3.PREVIOCalculate the derivative dydt by differentiating the formula for y.dydt=24t3et4Calculate

Let y(t)=6et4-4. In this problem, you will show that this function satisfies the differential equation dydt-4t3y=16t3.PREVIOCalculate the derivative dydt by differentiating the formula for y.dydt=24t3et4Calculate the left side of the differential equation (by substituting the value you just found for dydt and the formula for y).dydt-4t3y=Simplify your previous answer as much as possible. Confirm for yourself that this equals the right side of the differential equation. (Only a simplified answer will be accepted.)6et4-4

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