How to plot Homogeneous solution and Particular integral seperately of a second order differntial equation using ode45

Equation

Eq = y'' + 4*y-15.6(cos(20t)-cosh(20t)-1.5(sin(20t)-sinh(20t)))==0

initial conditions y(0) = 0;y'(0) =0

Answer 1

[Alan Stevens]

ode45 just solves first order equations, so turn your second order equation into two first order ones, like so:

y' = v

v' = -4*y+15.6(cos(20t)-cosh(20t)-1.5(sin(20t)-sinh(20t)))

Look up help on ode45 to see how it solves these.