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Show that the DE (10 + 6y)dx + (6x + 18y)dy = 0 is exact. Explain why the solutions a) following implicit equation satisfy DE 10x + 6xy + 9y? = c. b) Y1 (0) = 1 and y2(2) = 2. Verify that yı and y2 satisfy the same implicit equation in a). Can you Consider y, and y2 two solutions of the DE (10 + 6y)dx + (6x + 18y)dy = 0 such that determine explicitly y, and y2 with their domains?

Show that the DE (10 + 6y)dx + (6x + 18y)dy = 0 is exact. Explain why the solutions a) following implicit equation satisfy DE 10x + 6xy + 9y? = c. b) Y1 (0) = 1 and y2(2) = 2. Verify that yı and y2 satisfy the same implicit equation in a). Can you Consider y, and y2 two solutions of the DE (10 + 6y)dx + (6x + 18y)dy = 0 such that determine explicitly y, and y2 with their domains?

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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Show that the DE (10 + 6y)dx + (6x + 18y)dy = 0 is exact. Explain why the solutions a) following implicit equation satisfy DE 10x + 6xy + 9y? = c. b) Y1 (0) = 1 and y2(2) = 2. Verify that yı and y2 satisfy the same implicit equation in a). Can you Consider y, and y2 two solutions of the DE (10 + 6y)dx + (6x + 18y)dy = 0 such that determine explicitly y, and y2 with their domains?
Transcribed Image Text:Show that the DE (10 + 6y)dx + (6x + 18y)dy = 0 is exact. Explain why the solutions a) following implicit equation satisfy DE 10x + 6xy + 9y? = c. b) Y1 (0) = 1 and y2(2) = 2. Verify that yı and y2 satisfy the same implicit equation in a). Can you Consider y, and y2 two solutions of the DE (10 + 6y)dx + (6x + 18y)dy = 0 such that determine explicitly y, and y2 with their domains?
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