A fundamental set of solutions to y"+ 6y + 13 = 0 is y1 = e-* sin(2t), y2 = 3t sin(2t), y2 = e' cos(2t). %3D a) Find the Wronskian. b) Find the solution satisfying the initial conditions y(0) = – 5, y'(0) = 19

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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- 3t
A fundamental set of solutions to y'"+ 6y + 13 = 0 is y1 = e¯# sin(2t), y2 = e
- 3t
cos(2t).
a) Find the Wronskian.
W =
b) Find the solution satisfying the initial conditions y(0)
— 5, у'(0) — 19
y =
Transcribed Image Text:- 3t A fundamental set of solutions to y'"+ 6y + 13 = 0 is y1 = e¯# sin(2t), y2 = e - 3t cos(2t). a) Find the Wronskian. W = b) Find the solution satisfying the initial conditions y(0) — 5, у'(0) — 19 y =
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