Consider the following DE: ( ½ + y + y5 sin x) dx + (6xy5 — 5y¹ cos x + e³)dy = 0, where a . (a) Show that the DE is Exact. (b) Find the general solution. In your answer you need to specify the answers for parts (a) and (b) clearly
Consider the following DE: ( ½ + y + y5 sin x) dx + (6xy5 — 5y¹ cos x + e³)dy = 0, where a . (a) Show that the DE is Exact. (b) Find the general solution. In your answer you need to specify the answers for parts (a) and (b) clearly
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:Consider the following DE:
( ½ + y + y5 sin x)dx + (6xy5 − 5y¹ cos x + e³)dy = 0, where x > 0.
(a) Show that the DE is Exact.
(b) Find the general solution.
In your answer you need to specify the answers for parts (a) and (b) clearly.
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