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Part 3: Solve the non- homogeneous equation y" + 49y = cos(7x) – 7æ² has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) -

Part 3: Solve the non- homogeneous equation y" + 49y = cos(7x) – 7æ² has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) -

Advanced Engineering Mathematics
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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Part 3: Solve the non- homogeneous equation y" + 49y = cos(7x) – 7x² has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) Now that we have the general solution solve the IVP y(0) = -2 y(0) = -5 Here is a graph of the solution to the IVP 30
Transcribed Image Text:Part 3: Solve the non- homogeneous equation y" + 49y = cos(7x) – 7x² has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) Now that we have the general solution solve the IVP y(0) = -2 y(0) = -5 Here is a graph of the solution to the IVP 30
For the differential equation y" + 49y = cos(7x) – 7x? Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is List the complementary functions Part 2: Find the particular solution To solve the non-homogeneou differential equation, we look for functions annihilated by the differential operator (a multiple of the differential operator from above) s Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is
Transcribed Image Text:For the differential equation y" + 49y = cos(7x) – 7x? Part 1: Solve the homogeneous equation The differential operator for the homogeneous equation is List the complementary functions Part 2: Find the particular solution To solve the non-homogeneou differential equation, we look for functions annihilated by the differential operator (a multiple of the differential operator from above) s Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is
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