how to solve differential equation in matlab

dy/dz=beta(z)*y;

Answer 1

[Torsten]

Do you know an antiderivative of beta(z),i.e. a function Beta(z) with the property that

d(Beta(z))/dz = beta(z) ?

Best wishes

Torsten.

[Arjun Kumar]

yes i have different values of beta(z).now i want to plot graph between beta(z) and y.how can i do

[Torsten]

The solution of your differential equation is given by

y(z)=y0*exp(integral_{z0}^{z} beta(z') dz')

if your initial condition for y is y(z0)=y0.

So if you have values for beta, use trapz to integrate from z0 to a given value of z. An approximate value for y(z) is then given by the above formula.

Best wishes

Torsten.