Consider the DE: tant (y")6 + 7e²t (y")10 - 2ty' = 87t² +6t³+1 + a) Its order is b) Its degree is (y (5)) 4 4 c) Generally, for a DE whose order is one more than the order of the one given above, how many initial conditions are needed to find a particular solution?

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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Consider the DE:
tant (y'')6 + 7e²t (y")¹⁰0 - 2ty' = 87t² +6t³+1 + (y(5)) ¹
a) Its order is
b) Its degree is
4
c) Generally, for a DE whose order is one more than the order of the one given above, how
many initial conditions are needed to find a particular solution?
Transcribed Image Text:Consider the DE: tant (y'')6 + 7e²t (y")¹⁰0 - 2ty' = 87t² +6t³+1 + (y(5)) ¹ a) Its order is b) Its degree is 4 c) Generally, for a DE whose order is one more than the order of the one given above, how many initial conditions are needed to find a particular solution?
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