# How to check the complementary time-dependent term of differential equations.

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CT on 7 Jun 2021
Commented: CT on 7 Jun 2021
Is there any way to check how the time-dependent term ft in the following code is completed by interp1?
function [T1,Y1] = ode_param_sample1()
TSPAN = [0 pi/2];
IC = 1;
tv = linspace(0,pi/2,10);
ftv = sin(tv);
[T1 Y1] = ode45(@myODE1, TSPAN, IC);
function dydt1 = myODE1(t1,y1)
ft = interp1(tv, ftv, t1,'spline');
dydt1 = - ft *y1;
end
end
I want to check the ft in this code.
By checking, I mean I want to compare it with the original time-variant parameters, such as plotting it on a graph.

SALAH ALRABEEI on 7 Jun 2021
% Try this
function [T1,Y1] = ode_param_sample1()
TSPAN = [0 pi/2];
IC = 1;
tv = linspace(0,pi/2,10);
ftv = sin(tv);
ft = interp1(tv, ftv, T1,'spline');
plot(tv,ftv,'or',T1,ft,'b')
CT on 7 Jun 2021
I tried, but I couldn't.
I get the message "The function or variable 'T1' is not recognized."

R2021a

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