IV. Let M(r, y) =r+y-3 and N(r, y) = 1+3y-7. 1. Find a, 8 € R such that if u =1- a and v = y - 3, then M(r(u), y(r)) and N(r(u), y(v)) become homogeneous (i.e. each takes the form yu + ốv). 2. Use the above substitution to solve the particular solution to M(r, y)dr+N(r, y)dy = 0 which passes through (2, 2).

IV. Let M(r, y) =r+y-3 and N(r, y) = 1+3y-7. 1. Find a, 8 € R such that if u =1- a and v = y - 3, then M(r(u), y(r)) and N(r(u), y(v)) become homogeneous (i.e. each takes the form yu + ốv). 2. Use the above substitution to solve the particular solution to M(r, y)dr+N(r, y)dy = 0 which passes through (2, 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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