Consider the DE 6 Σ(+1 i=0 d'y (i+1)x¹ = e* - sin 2x. dxi a) Its order is b) Its degree is c) How many initial conditions are needed to find a particular solution for the DE?
Consider the DE 6 Σ(+1 i=0 d'y (i+1)x¹ = e* - sin 2x. dxi a) Its order is b) Its degree is c) How many initial conditions are needed to find a particular solution for the DE?
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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Question
Transcribed Image Text:Consider the DE
6
Σ(i+1)x²d¹y
i=0
-
dxi = ex — sin 2x.
a) Its order is
b) Its degree is
c) How many initial conditions are needed to find a particular solution for the DE?
Expert Solution
Step 1
Order is highest derivative present in the equation .
Degree is power of highest derivative if none of derivative have negative or fractional power .
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