15. Determine the differential equation whose general solution is x= C,e" + C,te® . d²x dx – 36+12x = 0 dt а. dt? d²x dx b. +12 - 36x = 0 | dt d²x dx X. -12%* + 36х %3D0 dt? С. dt d?x dx d. -4* +9x = 0 dt? dt

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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15. Determine the differential equation whose
general solution is x= C,e" + C,te .
d²x
dx
-36-
dt
а.
+12x = 0
dt?
d?x
dx
b.
+12-
2
– 36x =0
-
dt?
dt
d?x
dx
-12-
dt
С.
+36x = 0
dt?
d²x
dx
d.
-4.
+9x = 0
di?
dt
Transcribed Image Text:15. Determine the differential equation whose general solution is x= C,e" + C,te . d²x dx -36- dt а. +12x = 0 dt? d?x dx b. +12- 2 – 36x =0 - dt? dt d?x dx -12- dt С. +36x = 0 dt? d²x dx d. -4. +9x = 0 di? dt
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