Question: a) Write a MATLAB script file to solve the y(t)=1.5e^(-3t)* cos(2t), using trapezoid method. Consider t=0 to 8.0 with t=0.25, and compare your result with

a) Write a MATLAB script file to solve the y(t)=1.5e^(-3t)* cos(2t), using trapezoid method. Consider t=0 to 8.0 with t=0.25, and compare your result with using trapz command

b) Write a MATLAB function to define 2 d^2y/dx^2 +4 dy/dx +y =3x

where dy(0)/dx=0.5 & y(0)= 1, in the form of a set of two first order ODE, then use ODE45 command to solve this equation for x=0 to 7.

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