a. Use a MATLAB ode function to solve the following nonlinear equation for 0 t

Question:

a. Use a MATLAB ode function to solve the following nonlinear equation for 0 ≤ t ≤ 4. Plot the solution.
+ sin y = 0
y(0) = 0.1
b. For small angles, sin y ( y. Use this fact to obtain a linear equation that approximates equation (1). Use the closed-form solution of this linear equation to check the output of your program.