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Find a differential equation whose general solution is y = ciet + cze 4.

Find a differential equation whose general solution is y = ciet + cze 4.

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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- Your answer is incorrect. Find a differential equation whose general solution is y = cie8t + cze4. = 0 eTextbook and Media Hint Assistance Used The equation ar? + br +c = 0 is called the characteristic equation for the differential equation ay" + by + cy = 0. Assuming that the roots of the characteristic equation are real and different, let them be denoted by r, and r2, where r #r2. Then yı (1) = e" and y, (1) = e are two solutions of equation the differential equation. It follows that y(1) = ciyı + C2)y2 = cie" + cze2".
Transcribed Image Text:- Your answer is incorrect. Find a differential equation whose general solution is y = cie8t + cze4. = 0 eTextbook and Media Hint Assistance Used The equation ar? + br +c = 0 is called the characteristic equation for the differential equation ay" + by + cy = 0. Assuming that the roots of the characteristic equation are real and different, let them be denoted by r, and r2, where r #r2. Then yı (1) = e" and y, (1) = e are two solutions of equation the differential equation. It follows that y(1) = ciyı + C2)y2 = cie" + cze2".
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