Create the first equation as an optimization equality expression. Get eq1 = exp(-exp(-(x(1) + x(2)))) == x(2)*(1 + x(1)^2); Similarly, create the second equation as an optimization equality expression. Get eq2 =
To solve this equation in MATLAB®, you need to code the equation, the initial conditions, and the boundary conditions, then select a suitable solution mesh before calling the solverpdepe. You either can include the required functions as local functions at the end of a file (as done here)...
Problem-Based: Specify an optimization variable or workspace variable name for each function input. If an input argument name in the function signature matches an existing optimization variable or workspace variable name,Optimizeautomatically selects that name. ...
Equation solved. fsolve completed because the vector of function values is near zero as measured by the value of the function tolerance, and the problem appears regular as measured by the gradient. x = 1×2 0.1788 0.3418 Helper Function This code creates the paramfun helper function. Get ...
The previous sections usedsolveto solve the equationcos(x) == -sin(x). The solution to this equation can be visualized using plotting functions such asfplotandscatter. Plot both sides of equationcos(x) == -sin(x). fplot(cos(x)) holdongridonfplot(-sin(x)) title("Both sides of equat...
To solve this equation in MATLAB®, you need to code the equation, initial conditions, and boundary conditions, then select a suitable solution mesh before calling the solver pdepe. You either can include the required functions as local functions at the end of a file (as done here), or ...
The Solve Symbolic Equation task enables you to interactively find analytic solutions of symbolic equations. The task automatically generates MATLAB® code for your live script. For more information about Live Editor tasks, see Add Interactive Tasks to a Live Script. Using this task, you can: Fi...
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For this equation, you can take a single derivative to obtain the explicit ODE form y′=k′(t) . An example of an index-2 DAE is y′1=y20=k(t)−y1 . These equations require two derivatives to be rewritten in the explicit ODE form ...