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

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?

Answer 1

[Paul]

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.