How to activate symbolic math toolbox
Symbolic math toolbox
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Respuestas (6)
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% Clear workspace and command window
clear; clc;
T==2; %Final time
% Define symbolic variables
syms v(t)
% Define the ODE
ode = diff(v, t) == -0.5*v + sec(t) + tan(v) - (exp(-t) + v + int(v^2, t, 0, t));
% Specify the boundary condition
cond = v(0) == 0;
cond = v(T) == 1;
% Solve the ODE
sol = dsolve(ode, cond);
% Display the exact solution
disp('The exact solution is:');
disp(sol);
% Ensure the Symbolic Math Toolbox is available
syms v(t)
% Define the ODE
ode = diff(v, t) == -0.5*v + sec(t) + tan(v);
% Specify initial condition
cond = v(0) == 0;
% Solve the ODE
sol = dsolve(ode, cond);
% Display the solution
disp('The exact solution is:');
disp(sol);
% Ensure the Symbolic Math Toolbox is available
syms v(t)
% Define the ODE
ode = diff(v, t) == -0.5*v + sec(t) + tan(v);
% Specify initial condition
cond = v(0) == 0;
% Solve the ODE
sol = dsolve(ode, cond);
% Display the solution
disp('The exact solution is:');
disp(sol);
% Optionally, convert the solution to a function for further use
v_exact = matlabFunction(sol);
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% Clear workspace and command window
clear; clc;
T==2; %Final time
% Define symbolic variables
syms v(t)
% Define the ODE
ode = diff(v, t) == -0.5*v + sec(t) + tan(v) - (exp(-t) + v + int(v^2, t, 0, t));
% Specify the boundary condition
cond = v(0) == 0;
cond = v(T) == 1;
% Solve the ODE
sol = dsolve(ode, cond);
% Display the exact solution
disp('The exact solution is:');
disp(sol);
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