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Using the substitution y=vxanddy=vdx + xdv, the homogeneous differential equation y (2) -x]dx X xsin A B C D dx+xdy=0 reduces to (sinv-2v) dx + xdv=0 xsinvdx + vdv=0 sinvdx+xdv=0 (sinv + 2v) dx + xdv=0

Using the substitution y=vxanddy=vdx + xdv, the homogeneous differential equation y (2) -x]dx X xsin A B C D dx+xdy=0 reduces to (sinv-2v) dx + xdv=0 xsinvdx + vdv=0 sinvdx+xdv=0 (sinv + 2v) dx + xdv=0

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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Using the substitution y=vxanddy=vdx+xdv, the homogeneous differential equation [xsin ( - )-x]dx X A B C) D |dx + xdy=0 reduces to (sinv-2v) dx + xdv=0 xsinvdx + vdv=0 sinvdx + xdv=0 (sinv + 2v) dx + xdv=0
Transcribed Image Text:Using the substitution y=vxanddy=vdx+xdv, the homogeneous differential equation [xsin ( - )-x]dx X A B C) D |dx + xdy=0 reduces to (sinv-2v) dx + xdv=0 xsinvdx + vdv=0 sinvdx + xdv=0 (sinv + 2v) dx + xdv=0
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