from y = ae + be %3D 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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ae4 + be
(b) Form the differential equation by eliminating the arbitrary constants a,b from y =
BloFind the Conoral colution of tL
330
Transcribed Image Text:ae4 + be (b) Form the differential equation by eliminating the arbitrary constants a,b from y = BloFind the Conoral colution of tL 330
(b) Form the differential equation by eliminating the arbitrary constants a,b from y
ae + be 4I
5la) Find the Gonoral colution of tho Diffe
Transcribed Image Text:(b) Form the differential equation by eliminating the arbitrary constants a,b from y ae + be 4I 5la) Find the Gonoral colution of tho Diffe
Expert Solution
Step 1

y=ae4x+be-4x ....(1)

Differentiate both side w.r.t x

dydx=4ae4x-be-4x        ....(2)

From (1) and (2)

dydx=4ae4x-y+ae4x

y'=42ae4x-y

y'=8ae4x-4y             ......(3)

Differentiate both side w.r.t x

 

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