Solution-Draw the phase diagram of the ode

Draw the phase diagram of the ode

Assignment Help MATLAB Programming

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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Draw the phase diagram of the ode

Reference no: EM131303301

Reference no: EM131303301

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