Find the general solution of the differential equation and check the result by differentiation. dy = 16t dt Step 1 When solving a differential equation, Y = 16t, it is convenient to write it in the equivalent differential form dy = 16t 'dt. To find the general solution, we integrate %3D integrate both sides. Thus, 2(8) x dy = 16t dt 16t Step 2 Integrate both sides and use the power rule on the right side. 7+1 y = 16 +C 7+1 +C Step 3 Thus, the general solution of 16 is y -2 + C

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Find the general solution of the differential equation and check the result by differentiation.
dy
= 16t
Step 1
dy
= 16t, it is convenient to write it in the equivalent differential form dy = 16t dt. To find the general solution, we integrate
When solving a differential equation,
dt
integrate both sides.
Thus,
2(8) x
dy =
16t
16t7
dt
Step 2
Integrate both sides and use the power rule on the right side.
y = 16
+ C
+ C
Step 3
Thus, the general solution of Y - 16t is y = 2 +C
dt
C+ 2*
Transcribed Image Text:Find the general solution of the differential equation and check the result by differentiation. dy = 16t Step 1 dy = 16t, it is convenient to write it in the equivalent differential form dy = 16t dt. To find the general solution, we integrate When solving a differential equation, dt integrate both sides. Thus, 2(8) x dy = 16t 16t7 dt Step 2 Integrate both sides and use the power rule on the right side. y = 16 + C + C Step 3 Thus, the general solution of Y - 16t is y = 2 +C dt C+ 2*
Step 4
To check for the result, we have to prove that
dt
+ = 1627,
!!
dt
Submit
Skip (you cannot come back)
Transcribed Image Text:Step 4 To check for the result, we have to prove that dt + = 1627, !! dt Submit Skip (you cannot come back)
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