Let (a, b) =d. The linear Diophantine equation ax + by = c has a solutionif and only if dc. Let xo, yo be any particular solution, that is, axo+byo = c. All othersolutions are given byx = xo +(2) +t,y = Yo -(²) twhere t is an arbitrary integer.(1.1)

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Answered: d. The linear Diophantine equation ax +…

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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d. The linear Diophantine equation ax + by = c has a solution if and only if dc. Let xo, yo be any particular solution, that is, axo+byo = c. All other solutions are given by Let (a, b) x = xo + = t, y = Yo - (9) t where t is an arbitrary integer. (1.1)