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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 104E
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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.
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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