Problem $3$

MATLAB or Python

$x^{}+2x^{}+7x=3,x(0)=1,x^{}(0)=0$

$($i$)$ Convert the above ODEs into the state space equation

$($ii$)$ Use the Euler's method to solve the state space equation on $0,1$

$($iii$)$ Plot the solutions of the state space equation on $0,1$