Given the differential equation v′′+3v′+4v=([cos(8∗t)]3)u(t) Write the matrix equation for using Euler's method to compute v(t+h) from information of the function at time tt, i. e., you know v(t)v(t)and initial conditions. It is assumed you will use two auxiliary functions, v1(t)v1(t) and v2(t).v2(t).
[ v1(t+h) ]v2(t+h) = [ v1(t) ]v2(t)+h[? ?]? ?[ v1(t) ]v2(t) + h [ ? ]?
For h=0.1, compute the solution for t=0,0.1,0.2,0.3, when the initial conditions are v(0)=3 and v′(0)=0
v(0)=
v(0.1)=
v(0.2)=
v(0.3)=