Find the general solution of the given homogeneous differential equation. y" - 4y' + 40y = 0 2t y(x) = e²¹ (c₁cos (6t) + c₂sin (6t))
Find the general solution of the given homogeneous differential equation. y" - 4y' + 40y = 0 2t y(x) = e²¹ (c₁cos (6t) + c₂sin (6t))
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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Transcribed Image Text:Find the general solution of the given homogeneous differential equation.
y" - 4y' + 40y = 0
2t
y(x) = e²¹ (c₁cos (6t) + c₂sin (6t))
Transcribed Image Text:Sketch the graph of the given equation in the complex plane. (Assume z = x + iy.)
132-19
O
x² + (x - ²)² = 9
lyl = 3 (x - ²)² + y² = 9
OTOF
y
-2
2
2
-4
-2
13 x+3y-11 9
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