how can I write a code to solve an integral (from 0 to t) which only has the initial function (at t=0)?

I want to do an integral and only have the initial function for it. Assuming a y function, it is in this way: y=integration (over the range of 0 to t) of (derivation of y with respect to distance) dt and suppose initial condition is a constant number. I am going to write it as a summation of the areas by time steps(n steps) to get the final equation as a result of integral. Do you have any suggestion that how can I make it works in MATLAB? Thanks for you time and help

Answer 1

[John D'Errico]

This is normally called an ordinary differential equation. Your idea for solving it is effectively Euler's method, usually a poor choice if others are available.

help ode45

[nili]

actually it is a partial differential equation. it means I have the derivation of the function with respect to time in one side and the other side with respect to distance. That makes it difficult and confusing for me.Assuming a y function, it is in this way: y=integration (over the range of 0 to t) of (derivation of y with respect to distance) dt and suppose initial condition is a constant number. (The only thing that I think may work is that because the derivation with respect to distance is in a specific distance, we can consider it as ode and solve it. In this case the distance will not be a variable).Thanks for you time and help