(b) Hence, from the answer part (a), shows that the solution of the second order differential equation: d'y 3dy dt +2y = 6 dt? is given by y(t) = A+ Be – Ce" where the values of A, B, C and D are to be determined.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(b)
Hence, from the answer part (a), shows that the solution of the second order
differential equation:
d'y
3dy
dt
+2y = 6
dt?
is given by y(t) = A+ Be – Ce" where the values of A, B, C and D are to be
determined.
Transcribed Image Text:(b) Hence, from the answer part (a), shows that the solution of the second order differential equation: d'y 3dy dt +2y = 6 dt? is given by y(t) = A+ Be – Ce" where the values of A, B, C and D are to be determined.
Given a second order differential equation
d'y
3 ay
+ 2y = 6
dt?
dt
where y(0) = 2 and y'(0) = 6
P+ 2s?
(a)
Using Laplace transform, y (t) = L
s +Qs +R
Determine the values of P, Q and R.
Transcribed Image Text:Given a second order differential equation d'y 3 ay + 2y = 6 dt? dt where y(0) = 2 and y'(0) = 6 P+ 2s? (a) Using Laplace transform, y (t) = L s +Qs +R Determine the values of P, Q and R.
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