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I need to come up with 4 examples of ODE and: o Find the critical points of each ODE if there are any. o Present

I need to come up with 4 examples of ODE and:

o Find the critical points of each ODE if there are any.

o Present each ODE in its normal form.

o Draw the phase space and vector fields of each ODE using MATLAB.

o Obtain the ODE solution from the analytical method of the Laplace transform.

o Obtain the ODE solution from the MATLAB method for the Laplace transform.

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