5. Consider the ODE (5x²y + 6x³y² + 4xy²)dx + (2x³ + 3x¹y + 3x²y)dy = = 0. (a) Show that the ODE is not exact. (b) Multiply the ODE by xnym and determine values for n and m that make the resulting equation exact.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Consider the ODE
(5x²y + 6x³y² + 4xy²)dx + (2x³ + 3x¹y + 3x²y)dy =
= 0.
(a) Show that the ODE is not exact.
(b) Multiply the ODE by rym and determine values for n and m that make the resulting
equation exact.
Transcribed Image Text:5. Consider the ODE (5x²y + 6x³y² + 4xy²)dx + (2x³ + 3x¹y + 3x²y)dy = = 0. (a) Show that the ODE is not exact. (b) Multiply the ODE by rym and determine values for n and m that make the resulting equation exact.
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