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(a) Explain test whether the DE (cos y) dx + (y² - x sin y)dy = 0 has an integral function, say p. how we can

(a) Explain test whether the DE (cos y) dx + (y² - x sin y)dy = 0 has an integral function, say p. how we can

Advanced Engineering Mathematics
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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(b) Without solving the DE, show that y³ Y = x cos y + ²/² + B 4 3 is the integral function for the DE in (a). Here B is a constant. (c) Use the function in (b) to find an equation for the solution curves of the DE in (a).
Transcribed Image Text:(b) Without solving the DE, show that y³ Y = x cos y + ²/² + B 4 3 is the integral function for the DE in (a). Here B is a constant. (c) Use the function in (b) to find an equation for the solution curves of the DE in (a).
(a) Explain how we can test whether the DE (cos y) dx + (y² - x sin y)dy = 0 has an integral function, say φ.
Transcribed Image Text:(a) Explain how we can test whether the DE (cos y) dx + (y² - x sin y)dy = 0 has an integral function, say φ.
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