Output from Differential Equation
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Alex Michalak
el 19 de Sept. de 2020
Respondida: Nomit Jangid
el 24 de Sept. de 2020
I have a differential equation I am solving and I get output other than the general solution.
syms y(t)
dsolve(diff(y,t) == y^2 - 24*y + 140)
I get the general solution and then I get 10 and 14 below the equation. I see that these values are horizontal asymptotes denoting no change in value. Is this confirmed when I set the IVP in dsolve to
dsolve(diff(y,t) == y^2 - 24*y + 140, y(0) == 10)
dsolve(diff(y,t) == y^2 - 24*y + 140, y(0) == 14)
Also, what is the best way to graph particular solutions to a differential equation like this?
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Nomit Jangid
el 24 de Sept. de 2020
Yes, 'dsolve' gives general solution as well as solution for horizontal asymptotes.
you can use 'fplot' function to plot solution of differential equation.
>> syms y(t)
>> sol = dsolve(diff(y,t) == y^2 - 24*y + 140)
>> fplot(unique(subs(sol,"C1",[-3:3,(-3:3)+pi*1i])))
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