Direction: Solve the following problems neatly and systematically. Enclose all final answers in a box. 1. What is the 4th order homogeneous linear equation whose general solution is: y = c,e' + c2e2t + C3e³t + C4e#t 2. Find a 3rd order homogenous linear equation which has a particular solution: y = e' – 2e2t + 5t e2t 3. Find the 5th order homogeneous linear equation whose general solution is: y = c et + c2t et+ c3 t e* + C4 cos t + C5 sin t 4. Find the 6th order homogeneous linear equation whose general solution is: y = c, cos t + c2 sin t + c3 t cos 2t + C4 t sin t + cs t? cos t + C6 t? sin t 5. Find the 6th order homogeneous linear equation whose general solution is: y = c1 + C2 t + C3 e cos t + C4 e sin t + cs t e2 cos t + C6 t e2t sin t
Direction: Solve the following problems neatly and systematically. Enclose all final answers in a box. 1. What is the 4th order homogeneous linear equation whose general solution is: y = c,e' + c2e2t + C3e³t + C4e#t 2. Find a 3rd order homogenous linear equation which has a particular solution: y = e' – 2e2t + 5t e2t 3. Find the 5th order homogeneous linear equation whose general solution is: y = c et + c2t et+ c3 t e* + C4 cos t + C5 sin t 4. Find the 6th order homogeneous linear equation whose general solution is: y = c, cos t + c2 sin t + c3 t cos 2t + C4 t sin t + cs t? cos t + C6 t? sin t 5. Find the 6th order homogeneous linear equation whose general solution is: y = c1 + C2 t + C3 e cos t + C4 e sin t + cs t e2 cos t + C6 t e2t sin t
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 1,2,3,4, and 5. I'm begging you. thank you so much
Transcribed Image Text:Direction: Solve the following problems neatly and systematically. Enclose all final answers in a box.
1. What is the 4th order homogeneous linear equation whose general solution is:
y = c,e' + c2e2t + C3e³t + C4e#t
2. Find a 3rd order homogenous linear equation which has a particular solution:
y = e' – 2e2t + 5t e2t
3. Find the 5th order homogeneous linear equation whose general solution is:
y = c et + c2t et+ c3 t e* + C4 cos t + C5 sin t
4. Find the 6th order homogeneous linear equation whose general solution is:
y = c, cos t + c2 sin t + c3 t cos 2t + C4 t sin t + cs t? cos t + C6 t? sin t
5. Find the 6th order homogeneous linear equation whose general solution is:
y = c1 + C2 t + C3 e cos t + C4 e sin t + cs t e2 cos t + C6 t e2t sin t
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