The input x(t) and the output y(t) of a nonlinear system are related through the following differential equation y(t) = x2dx/dt + 2x Prove that the describing function of this system can be given by √A6ω2 / 16 + 4A2 e jtan−1(A2ω/ 8)
The input x(t) and the output y(t) of a nonlinear system are related through the following differential equation y(t) = x2dx/dt + 2x Prove that the describing function of this system can be given by √A6ω2 / 16 + 4A2 e jtan−1(A2ω/ 8)
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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The input x(t) and the output y(t) of a nonlinear system are related
through the following
y(t) = x2dx/dt + 2x
Prove that the describing function of this system can be given by
√A6ω2 / 16 + 4A2 e jtan−1(A2ω/ 8)
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