Question 8 a and care real numbers. Find all values of a andc so that the functions y₁-e2x and y2-ela-3)x+c O a# 5,ce a O a=5, c-0 O a‡ 5, c=0 O a-5, ce a cannot form a fundemental set of solutions(cannot be linearly independent) for a 2. order linear homegenous differential equation.
Question 8 a and care real numbers. Find all values of a andc so that the functions y₁-e2x and y2-ela-3)x+c O a# 5,ce a O a=5, c-0 O a‡ 5, c=0 O a-5, ce a cannot form a fundemental set of solutions(cannot be linearly independent) for a 2. order linear homegenous differential equation.
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:Question 8
a and c are real numbers. Find all values of a andc so that the functions
y₁=e2x and y2=e(a-3)x+c
O a# 5,CER
O a=5, c=0
O a5, c=0
O a=5, CE R
cannot form a fundemental set of solutions(cannot be linearly independent) for a 2. order linear homegenous differential equation.
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