How to solve differential equation in matlab

Question

How can I show that y(t)=Yo/Yo+(1-Yo)e^-at is the solution of the differential equation dy/dt=ay(1-y) using MATLAB. What function should I use?

Answer 1

if you want to simulate the results use the ode's family

https://www.mathworks.com/help/matlab/ref/ode45.html

else you can define your equation in syms and use diff

https://www.mathworks.com/help/symbolic/diff.html

other wise you can solve it numerically