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plot y(x) graph when differential is given

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mor levi
mor levi il 12 Lug 2021
Commentato: Star Strider il 12 Lug 2021
Hi
I was asked to plot graph of y(x) but the given eq. is differential:
A,B,C,D are constants, and x is between [0, 50]
But I seriously dont know where to start... help?
  3 Commenti
mor levi
mor levi il 12 Lug 2021
y not given
I only know the range of x
Star Strider
Star Strider il 12 Lug 2021
Integrating that symbolically leads to an expression that will be impossible to invert.
syms A B C D x(y) x0
Dx = diff(x);
Eqn = Dx == A - B*x*exp(y) / (C+D*y);
x(y) = simplify(dsolve(Eqn, x(0)==x0), 500)
x(y) = 
The matlabFunction function cannot work with that, so the only possible approach would be to code it and then use fsolve to solve for ‘y’ as a function of ‘x’. It will be necessary to supply all the constants and then plot it to even determine if the numeric approach is possible.
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