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5. Show that the equation (2y – 6æ) dx + (3x – 4x²y=') dy = 0 is not exact. Show that the polynomial µ(x, y) = xy² makes the equation exact. 6. Solve the equation in 5.

5. Show that the equation (2y – 6æ) dx + (3x – 4x²y=') dy = 0 is not exact. Show that the polynomial µ(x, y) = xy² makes the equation exact. 6. Solve the equation in 5.

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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**Problem 5:** Show that the equation \((2y - 6x) \, dx + (3x - 4x^2y^{-1}) \, dy = 0\) is not exact. Show that the polynomial \(\mu(x, y) = xy^2\) makes the equation exact. **Problem 6:** Solve the equation in Problem 5.
Transcribed Image Text:**Problem 5:** Show that the equation \((2y - 6x) \, dx + (3x - 4x^2y^{-1}) \, dy = 0\) is not exact. Show that the polynomial \(\mu(x, y) = xy^2\) makes the equation exact. **Problem 6:** Solve the equation in Problem 5.
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