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Draw the phase diagram of the ode

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Reference no: EM131303301

Use Matlab to solve the following equations. Please (i) plot the solution as a function of t for t  ∈ [0, 100].

(ii) draw the phase diagram of the ODE.

1. dy/dt = y2 + y with y(0) = 1

 

      dy1/dt = y2

2.                                         with y1(0) = 1, y2(0) = 1.

      dy2/dt = -3y2 + 2y1

 

       dy1/dt = y1 - 2y1y2

3.                                         with y1(0) = 1, y2(0) = 1.

       dy2/dt = -y1y2 - y2

 

    dy1/dt = -y1y2

4. dy2/dt = y1y2 - y2 with y1(0) = 10, y2(0) = 1, y3 = 0.

    dy3/dt = y2

Reference no: EM131303301

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