For the differential equation y"-0y – 16y= e 4z Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is 16 List the complementary functions -4x se A Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differenti: operator from above) e cos (8x) 4x Therefore the particular solution must be made up of the functions 1,-x A Substituting these into the differential equation, we find the particular solution is -4x xe Part 3: Solve the non-homogeneous equation y' - Oy - 16y = e 4z has general solution (remember to use the format I gave you in your correct answer to the complementary functions abov -4x 4x ae + be 4x_ xe
For the differential equation y"-0y – 16y= e 4z Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is 16 List the complementary functions -4x se A Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differenti: operator from above) e cos (8x) 4x Therefore the particular solution must be made up of the functions 1,-x A Substituting these into the differential equation, we find the particular solution is -4x xe Part 3: Solve the non-homogeneous equation y' - Oy - 16y = e 4z has general solution (remember to use the format I gave you in your correct answer to the complementary functions abov -4x 4x ae + be 4x_ xe
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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