integration equvilants for diff() and dsolve()?

hold all;
clear all;
clc;
close all;
hold on

syms A(z) N beta B0 gamma
cond = A(0) == B0;
eqns = diff(A,z) == beta*(A/N)*(N-A)-gamma*A;
S(z) = dsolve(eqns,cond);
pretty(S);

i used this to diffrentiate and get and equation, is there away to do the same thing with integration?

ie the integral of beta*(A/N)*(N-A)-gamma*A

that could return somthing in teh same way that the pretty() function does?

                           N (beta - gamma)
----------------------------------------------------------------------
          /                   /        /        N beta - N gamma \ \ \
          |                   |     log| beta - ---------------- | | |
          |                   | z      \               B0        / | |
beta - exp| -N (beta - gamma) | - - ------------------------------ | |
          \                   \ N          N beta - N gamma        / /

Answer 1

[Dinesh Yadav]

Hi jg,

As diff is used for differentiataion, similarly the command int is used for integration. As for dsolve it solves for a system of ODE's by integrating. So I dont understand what do you mean by dsolve's equivalent in integration.

Hope it helps.

[Walter Roberson]

All that I have been able to think of is that instead of the problem structure

eqns = diff(A,z) == beta*(A/N)*(N-A)-gamma*A;

that they perhaps want to set up

eqns = int(A,z) == beta*(A/N)*(N-A)-gamma*A;

and solve that.