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For the differential equation y" +25y = cos(5z) + 1z 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-homogeneous differential equation, we look for functions annihilated by the differential operato operator from above) Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y' + 25y = cos(5x) + la? has general solution (remember to use the format I gave you in your correct answer to t above)

For the differential equation y" +25y = cos(5z) + 1z 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-homogeneous differential equation, we look for functions annihilated by the differential operato operator from above) Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y' + 25y = cos(5x) + la? has general solution (remember to use the format I gave you in your correct answer to t 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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Please answer all parts and give correct answers
Now that we have the general solution solve the IVP y(0) = 6 y (0) = 2 Here is a graph of the solution to the IVP 30 -30
Transcribed Image Text:Now that we have the general solution solve the IVP y(0) = 6 y (0) = 2 Here is a graph of the solution to the IVP 30 -30
For the differential equation y"+25y= cos(5z)+12² 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 şolve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differential operator from above) Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y' + 25y = cos(5x) + lz? 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) = 6 y (0) = 2 OK Learn more Cookies help us deliver our services. By using our services, you agree to our use of cookies. 1:05 4/13/ a 1O
Transcribed Image Text:For the differential equation y"+25y= cos(5z)+12² 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 şolve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the differential operator from above) Therefore the particular solution must be made up of the functions Substituting these into the differential equation, we find the particular solution is Part 3: Solve the non-homogeneous equation y' + 25y = cos(5x) + lz? 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) = 6 y (0) = 2 OK Learn more Cookies help us deliver our services. By using our services, you agree to our use of cookies. 1:05 4/13/ a 1O
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