ode with varying constant

i have one differntial eqation and in that i have two constants one is scalar and one is vector i have to solve diffential equation for each value of vector means i got no of diff equation= no of elements in vector now i have to plot each solution of each de with time

function [dydt] = diffvar(t,y)

dydt=-k*y+a;

end

[Ameer Hamza]

What about my answer to your other question: https://www.mathworks.com/matlabcentral/answers/621608-how-to-solve-ode-if-value-of-constant-is-vector

[prajyot gajbhiye]

but you have considered both as scalar

[Ameer Hamza]

That code will work even if you put one of the variable as scalar.

Answer 1

[Star Strider]

Interpolating a time-domain vector in a differential equation is essentially described in the ode45 (and other solvers) documentation. This simply re-states it in the context of the current problem.

Try this

ic = 0;
tspan = [0 10];
k = 42;

av = rand(1,10);                                                        % Vector Defining ‘a’
a = @(t) interp1(linspace(min(tspan),max(tspan),numel(av)), av, t);     % Function Interpolating ‘a’

[T,Y] = ode45(@(t,y)diffvar(t,y,k), tspan, ic);

figure
plot(T, Y)
grid

function [dydt] = diffvar(t,y,k)
dydt=-k*y+a(t);                                                         % Call ‘a’ As A Function
end

Use your own vector for ‘av’ and your own constant for ‘k’.