Question 1 a) Consider the 2nd order Cauchy-Euler differential equation 8x2y\" 4

Question

Question 1 a) Consider the 2nd order Cauchy-Euler differential equation 8x2y" 4xy'15y 1 Solve the differential equation on the MATLAB and plot the function. b) Solve the differential equation by first converting the 2ndo system to 2 first order system y', + 5y' + y 3 sin (4x), y(0)s 1, y'(0)-0 Plot the y,y' and compare them on same plot. Consider this second order coupled 2nd order differential equations, solve the system using MATLAB, and plot the responses c) j)+x-2y = t + 1 The analytical solution can be found at end of the assignment.

Explanation / Answer

here is the code for the above stated program

%function t=t(n,t0,t1,y0) function y=y(n,t0,t1,y0) h=(t1-t0)/n; t(1)=t0; y(1)=y0; for i=1:n t(i+1)=t(i)+h; y(i+1)=y(i)+h*ex(t(i),y(i)); end; V=[t',y'] plot(t,y) title('satya')

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