Verify that the following functions are indeed solutions to their respective ODEs (or IVPS). (a) Problem: y" + ²y = 0, Solution: y(x) = a cos(x) + b sin(x), where a, b are arbitrary constants. (b) Problem: y' = 0.5y, y(2) = 2,

Verify that the following functions are indeed solutions to their respective ODEs (or IVPS). (a) Problem: y" + ²y = 0, Solution: y(x) = a cos(x) + b sin(x), where a, b are arbitrary constants. (b) Problem: y' = 0.5y, y(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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Question

For questions a and b I have finished answers but feel uneasy about them could I receive a detailed answer for both parts a and b to understand them more thoroughly.