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(Solved): 4. Convert the ODE \( y^{\prime \prime}+10 y^{\prime}+24 y=0 \) into a phase plane system and find ...


4. Convert the ODE \( y^{\prime \prime}+10 y^{\prime}+24 y=0 \) into a phase plane system and find the general solution vecto

4. Convert the ODE \( y^{\prime \prime}+10 y^{\prime}+24 y=0 \) into a phase plane system and find the general solution vector, \( \mathbf{y} \).


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Solution:- We are given that y?+10y?+24y=0 (1) To convert this into phase plane system, let y=x1. Then y?=x1?=x2 So, y?=x?1=x2?
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