d'y dy 6 +8y = 0 dx (a) Solve the differential equation dx? dy = 10 when x = 0. given that y =3 and dx d y dy (b) Find the solution of the differential equation +6 +9y = 0 dx? dx dy given that y =-1 and = 5 when x = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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d'y
6ay +8y = 0
(a) Solve the differential equation
-6-
dx?
dx
dy
given that y = 3 and
= 10 when x = 0.
dx
d²y
(b) Find the solution of the differential equation
dy
+9y = 0
dx
dx?
dy
2 = 5 when x = 0.
dr
given that y =-1 and
%3D
Transcribed Image Text:d'y 6ay +8y = 0 (a) Solve the differential equation -6- dx? dx dy given that y = 3 and = 10 when x = 0. dx d²y (b) Find the solution of the differential equation dy +9y = 0 dx dx? dy 2 = 5 when x = 0. dr given that y =-1 and %3D
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