What is the general solution to the differential equation 2ydx = (x² – 1)(dx - dy) ? y) = x – 2 In(x+1) + C yE) = y – 2 In(x² – 1) + C
What is the general solution to the differential equation 2ydx = (x² – 1)(dx - dy) ? y) = x – 2 In(x+1) + C yE) = y – 2 In(x² – 1) + C
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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Transcribed Image Text:What is the general solution to the differential equation 2ydx = (x² – 1)(dx – dy) ?
y
= x – 2 In(x +1) + C
y() =y – 2 In(x² – 1) + C
D
2y – x2 + (x² – 1) = C
2y(x – 1) – x² + (x + 1) = C
O A
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