Find the general solution of the differential equation and check the result by differentiation. dy = 16t dt Step 1 When solving a differential equation, OY = 16t, it is convenient to write it in the equivalent differential form dy = 16t'dt. To find the general solution, we integrate integrate both sides. dt Thus, 2(8) X dy = 16t 16t Step 2 Integrate both sides and use the power rule on the right side. y = 16
Find the general solution of the differential equation and check the result by differentiation. dy = 16t dt Step 1 When solving a differential equation, OY = 16t, it is convenient to write it in the equivalent differential form dy = 16t'dt. To find the general solution, we integrate integrate both sides. dt Thus, 2(8) X dy = 16t 16t Step 2 Integrate both sides and use the power rule on the right side. y = 16
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:Find the general solution of the differential equation and check the result by differentiation.
dy
= 16t7
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
integrate both sides.
dt
Thus,
2(8) x
16t
16t7
dt
Step 2
Integrate both sides and use the power rule on the right side.
y = 16,
+ C
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