Construct an equation such that y = = C1e3z cos x + C2e3ª sin x is its general solution.
Construct an equation such that y = = C1e3z cos x + C2e3ª sin x is its general solution.
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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Transcribed Image Text:Construct an equation such that y = C1e³x
cos x + C2e3* sin x is its general solution.
Expert Solution
Step 1
To determine the differential equation from the solution
- Check the number of constant in the solution.
- The order of the differential equation is same as the number of constant in the solution
- Differentiate the solution as many time as the number of constant as there in the solution.
- Rearrange the equation in such a way that the differential equation will form.
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