1² +1 fip- xy The first order differential equation: is separable. Find the general solution dr

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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x² +1
-dy
5. (15 points) The first order differential equation: V1+ y
is separable. Find the general solution
ry
d.x
(implicit is fine).
Transcribed Image Text:x² +1 -dy 5. (15 points) The first order differential equation: V1+ y is separable. Find the general solution ry d.x (implicit is fine).
Expert Solution
Step 1

The given differential equation is 

                         1+ydydx=1+x2xy             (1)

We can rewrite it as

                       y1+ydy=1+x2xdx

On integrating both sides, we get

                  y1+ydy=1+x2xdx       (2)

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