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

numerical integration

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

Best Answer

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.
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