Tutorial Exercise Find the general solution of the differential equation and check the result by differentiation. Step 1 dy dt = 16t7 When solving a differential equation, dy = 16t7, it is convenient to write it in the equivalent d dt dy = 16t7 dt. To find the general solution, we integrate integrate both sides. Thus, dy dy = 1617 dt 16t7 Step 2 Integrate both sides and use the power rule on the right side. y = 16 + C