(10) Show that the solution of the differential equation y 4y +1Vy is y = r*(In V]r| + c)².
(10) Show that the solution of the differential equation y 4y +1Vy is y = r*(In V]r| + c)².
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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Question
Bernoulli's differential equations.
![**Problem (10):**
Show that the solution of the differential equation
\[
y' = \frac{4y}{x} + x\sqrt{y}
\]
is
\[
y = x^4 (\ln \sqrt{|x|} + c)^2.
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Transcribed Image Text:**Problem (10):**
Show that the solution of the differential equation
\[
y' = \frac{4y}{x} + x\sqrt{y}
\]
is
\[
y = x^4 (\ln \sqrt{|x|} + c)^2.
\]
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