QQuestionMathematics
QuestionMathematics
3. Linearize the following non-linear dynamic models.
(a) 2 =ay + py? +ylny a, 3, y: constants
(b) 2 = om + ym?sinam a: constant
© =ym-—= 2y+m
(@ oa = 2yf + 3y^1y; + my — m^3
ic =y; — 4mymynr?
(e) 222 = 32 = yiy, — 0.5y,my + myyi
2% + & = Iny, + yjcos^2my — my,
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Step 1:
a\_5' = 2a\_1mm' + a\_2m'' - a\_3m^2m'' + a\_4m^2\frac{m'''}{m'}
Linearize the given non-linear dynamic models. \end{align*} \end{align*} Therefore, the linearized model is \end{align*} \end{align*} Therefore, the linearized model is \end{align*} \end{align*} Therefore, the linearized model is \end{align*} \end{align*} Therefore, the linearized model is \end{align*} \end{align*} Therefore, the linearized model is
Final Answer
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