Using the substitution y=vxanddy=vdx + xdv, thehomogeneous differential equation[xsin ( - )-x]dxXABCD|dx + xdy=0 reduces to(sinv-2v) dx + xdv=0xsinvdx + vdy=0sinvdx + xdv=0(sinv + 2v) dx + xdv=0

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Answered: Using the substitution y=vxanddy=vdx +…

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 ()-y]dx A B y dx + xdy=0 reduces to D (sinv-2v) dx+xdv=0 xsinvdx + vdy=0 Ⓒsinvdx+xdv=0 (sinv + 2v) dx + xdv=0