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The motion of a mass on a spring is described by the equation mx" (t) + D x(t) = F(t), where x(t) is the displacement, m>0 and D>0 are constants, F(t) is a given function and the parameters are measured in Sl units. Let m = 1, D= 9 and F(t) = 5 sin 3 t. Find the general solution.

The motion of a mass on a spring is described by the equation mx" (t) + D x(t) = F(t), where x(t) is the displacement, m>0 and D>0 are constants, F(t) is a given function and the parameters are measured in Sl units. Let m = 1, D= 9 and F(t) = 5 sin 3 t. Find the general solution.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Differential equations
The motion of a mass on a spring is described by the equation mx" (t) + D x(t) = F(t), where x(t) is the displacement, m> 0 and D >0 are constants, F(t) is a given function and the parameters are measured in Sl units. Let m = 1, D= 9 and F(t) = 5 sin 3t. Find the general solution.
Transcribed Image Text:The motion of a mass on a spring is described by the equation mx" (t) + D x(t) = F(t), where x(t) is the displacement, m> 0 and D >0 are constants, F(t) is a given function and the parameters are measured in Sl units. Let m = 1, D= 9 and F(t) = 5 sin 3t. Find the general solution.
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