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LARCALCET7 5.1.007.MI.SA.
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Math
Indefinite Integration Solutions
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LARCALCET7 5.1.007.MI.SA.
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Tutorial Exercise
Find the general solution of the differential equation and check the result by differentiation.
dy
dt
=
16t7
Step 1
dy
When solving a differential equation,
16t?, it is convenient to write it in the equivalent differential form
dt
dy = 16tdt. To find the general solution, we integrate
integrate both sides.
Thus,
dy
dy =
1617
dt
16+7
Step 2
Integrate both sides and use the power rule on the right side.
+ C
y = 16
O + c
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