Consider the given differential equation: y" – y" – 2y = 0. A) Show that the functions y1 = e¯*, y2 = e2x, and y3 = 3 solutions of the given DE. %3D B) Show that the functions y1 = e=*, y2 = e2x, %3D and y3 = 3 form a fundamental set of solutions on (-0o, 0). Write the general solution of this differential equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve both parts kindly
Consider the given differential
equation:
y" – y' – 2y = 0.
A) Show that the functions y = e-*, y2 = e2x,
and y3 = 3 solutions of the given DE.
, y2 = e2x,
and y3 = 3 form a fundamental set of solutions
B) Show that the functions yı = e*,
%3D
%3D
on (-o, 0). Write the general solution of this
differential equation.
Transcribed Image Text:Consider the given differential equation: y" – y' – 2y = 0. A) Show that the functions y = e-*, y2 = e2x, and y3 = 3 solutions of the given DE. , y2 = e2x, and y3 = 3 form a fundamental set of solutions B) Show that the functions yı = e*, %3D %3D on (-o, 0). Write the general solution of this differential equation.
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