Question: Please help develop matlab code for above pendulum equation using ode45 function Problem 2: Now we will consider the model that represents a simple Pendulum.

Please help develop matlab code for above pendulum equation using ode45 function
Problem 2: Now we will consider the model that represents a simple Pendulum. It will be a 2D non-linear model. The equation is given by Led+gsin 00. Assume all parameters to be positive. If you assume a linear approximation for sin you get the same system as in Problem 3. Problem 2a: Graph on one piece a paper, what you would expect solutions to look like based solely on your intuition. Do not try and solve the equation. How does your result change with different values of c? Problem 2b: Now write the system again as two 1D equations and code this into your Matlab program. Problem 2c: Using Phase Plane analysis, draw the phase portrait for this system? What do you notice about the fixed points? What is the difference, physically between (0,0) and (2T, 0)? Problem 2d: Now using Matlab, create a computationally drawn phase portrait for certain values of L and c. Again, how does this change based on changes in L and c? Problem 2: Now we will consider the model that represents a simple Pendulum. It will be a 2D non-linear model. The equation is given by Led+gsin 00. Assume all parameters to be positive. If you assume a linear approximation for sin you get the same system as in Problem 3. Problem 2a: Graph on one piece a paper, what you would expect solutions to look like based solely on your intuition. Do not try and solve the equation. How does your result change with different values of c? Problem 2b: Now write the system again as two 1D equations and code this into your Matlab program. Problem 2c: Using Phase Plane analysis, draw the phase portrait for this system? What do you notice about the fixed points? What is the difference, physically between (0,0) and (2T, 0)? Problem 2d: Now using Matlab, create a computationally drawn phase portrait for certain values of L and c. Again, how does this change based on changes in L and c
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