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

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Deepika Vangeti
Deepika Vangeti on 16 Apr 2022
Answered: Alan Stevens on 16 Apr 2022
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

Answers (1)

Alan Stevens
Alan Stevens on 16 Apr 2022
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.

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