plot y(x) graph when differential is given

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mor levi 2021-7-12

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https://ww2.mathworks.cn/matlabcentral/answers/876678-plot-y-x-graph-when-differential-is-given

评论： Star Strider 2021-7-12

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?

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mor levi 2021-7-12

y not given

I only know the range of x

Star Strider 2021-7-12

在 MATLAB Online 中打开

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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