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3. y(1+2ln²dx+xdy=0; y(e) = e

3. y(1+2ln²dx+xdy=0; y(e) = e

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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Kindly solve for number 3. Using:

(This is DE, homogenous topic)

If M is simpler: x=vy dx=vdy+ydv v=x/y

If N is simpler: y=vx dy=vdx+xdv v=y/x

1. V. Find the particular solution of each of the following. 3x²ydx-(x³ + ³)dy=0; y(1) = -2 2. ydx − (x+√√y² − x²) dy=0; y(0) = 1 y(1+2ln²)dx+xdy=0; y(e) = e 3.
Transcribed Image Text:1. V. Find the particular solution of each of the following. 3x²ydx-(x³ + ³)dy=0; y(1) = -2 2. ydx − (x+√√y² − x²) dy=0; y(0) = 1 y(1+2ln²)dx+xdy=0; y(e) = e 3.
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