can anyone program the solution and graph for this function

y'' + 2y' - 3y = 0

Answer 1

[Ameer Hamza]

See ode45(): https://www.mathworks.com/help/matlab/ref/ode45.html espically see the example titled "Solve Nonstiff Equation".

For example

dydt = @(t, y) [y(2);
                -2*y(2)+3*y(1)];
tspan = [0 10];
IC = [1; 0];

[t, y] = ode45(dydt, tspan, IC);
plot(t, y);
legend({'$y$', '$\dot{y}$'}, 'FontSize', 16, 'Location', 'best', 'Interpreter', 'latex')