Output from Differential Equation

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Alex Michalak
Alex Michalak 2020-9-19
回答： Nomit Jangid 2020-9-24
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
Nomit Jangid 2020-9-24
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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