How to explicit a matlab equation by using the symbolic toolbox?

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Giuseppe 2021-6-16

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https://ww2.mathworks.cn/matlabcentral/answers/857875-how-to-explicit-a-matlab-equation-by-using-the-symbolic-toolbox

回答： Paul 2021-6-16

Hi guys, i want to obtain the expression of the velocity V of the following equation without solving the problem "by hand". I've the need to use the expression of V as a matlab function within a simulink project.

Is it possbile by using the symbolic toolbox? if yes, how?

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Answer 1

Paul 2021-6-16

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https://ww2.mathworks.cn/matlabcentral/answers/857875-how-to-explicit-a-matlab-equation-by-using-the-symbolic-toolbox#answer_726430

在 MATLAB Online 中打开

Looks like there are two solutions for V based on reasonable assumptions:

syms rho V CD0 K W S T positive

syms gamma real

eqn = T == sym(1/2)*rho*V^2*(CD0 + K*(W*cos(gamma)/(sym(1/2)*rho*V^2*S))^2)*S + W*sin(gamma);

sol = solve(eqn,V,'ReturnConditions',true)

sol = struct with fields:

V: [2×1 sym] parameters: [1×0 sym] conditions: [2×1 sym]

sol.V

ans =

After you decide which solution is pertinent to your problem, you can generate from sol.V(1) or sol.V(2) a Matlab Function block (doc page) directly in your Simulink model.