MATLAB: How can i pull a corresponding y value for t=0.5, the matlab script below will out a list of values for y and t.

odeode45

odel = @(t,y)t + y + (t*y)
[t,y] = ode45(odel,[0:0.03:1],0.5)
plot(t,y,'linewidth',2)
xlabel('t'), ylabel('y'),grid on
title('Solution to the ODE dy/dt = t + y + (t*y)')

Best Answer

Easiest is to use the interp1 function:
y_t_05 = interp1(t, y, 0.5)
y_t_05 =
   1.093740231070597
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