PROBLEM 24 - 0586: A free harmonic oscillator (FHO) is a system whose behavior can be described by a second- order, linear differential equation of the form: = -Ay(t) (1) where A is a positive...

Extracted text: PROBLEM 24 - 0586: A free harmonic oscillator (FHO) is a system whose behavior can be described by a second- order, linear differential equation of the form: = -Ay(t) (1) where A is a positive constant. Two FHO systems are a spring-mass system and an LC electric circuit: Y=dy/dt y(t) Spring- x- FHO V displacement =velocit q-charge in coulombs mass LC i circuit =curren in ampere Given the initial conditions y(0) = %3D Yo and y(0) = Zo , write a FORTRAN program that uses the modified Euler method to simulate this system from t = 0 to t %3D = tf . LINEAR SPRING OF STIFFNESS K C INDUCTOR CAPACITOR (HENRYS) 1 IM MASS (FARADS)