dv 5v+4 dt Laplace transform this equation and then solve for F(s). We obtain

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Example 5.5.3
Find the velocity of the system shown in Figure 5.6a when the applied force is f(t) = e'u(t). Assume
zero initial conditions. Solve the same problem using convolution techniques. The input is the force and
the output is the velocity.
Solution
The controlling equation is, from Figure 5.6b,
+ Sv+4[ vdt=c"dt).
Laplace transform this equation and then solve for F(s). We obtain
Transcribed Image Text:Example 5.5.3 Find the velocity of the system shown in Figure 5.6a when the applied force is f(t) = e'u(t). Assume zero initial conditions. Solve the same problem using convolution techniques. The input is the force and the output is the velocity. Solution The controlling equation is, from Figure 5.6b, + Sv+4[ vdt=c"dt). Laplace transform this equation and then solve for F(s). We obtain
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