ne equation x² 2 +7xy = y³ dy dx --(1) an example of the Bernoulli equation
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:The equation
2 dy + 7xy = y³
-(2)
x²
₂.2
-(1)
is an example of the Bernoulli equation
(a) Show that the substitution v = y
reduce equation (1) to the equation
=y-²
dv
dx
·V =
-2x
(b) Solve the equation (2) for v. Then make
the substitution v = y-² to obtain the
solution to (1)
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