Show that y₁ = ecos(2x) and y2 = e sin(2x) are two linearly independent solutions of d'y dy dz² +2- dz + 5y = 0

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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Show that y₁=e* cos(2x) and y2 = e* sin(2x) are two linearly independent solutions of
d'y dy
+2- + 5y = 0
dx
dx²
Transcribed Image Text:Show that y₁=e* cos(2x) and y2 = e* sin(2x) are two linearly independent solutions of d'y dy +2- + 5y = 0 dx dx²
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