Consider the differential equation 4+7 + 12y = 36r, z>0. dr iven that the complementary function is v(z) = Ae¯d + Bed nd a particular integral and describe the behaviour of the solution as z ecomes large.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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q5

Consider the differential equation
+7-
rp
dr
+ 12y = 36r,
r> 0.
Given that the complementary function is
y(x) = Ae 3 + Be d
find a particular integral and describe the behaviour of the solution as r
becomes large.
Transcribed Image Text:Consider the differential equation +7- rp dr + 12y = 36r, r> 0. Given that the complementary function is y(x) = Ae 3 + Be d find a particular integral and describe the behaviour of the solution as r becomes large.
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