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integration equvilants for diff() and dsolve()?

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jg
jg on 20 Jan 2020
Commented: Walter Roberson on 23 Jan 2020
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 / /

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Answers (1)

Dinesh Yadav
Dinesh Yadav on 23 Jan 2020
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.

  1 Comment

Walter Roberson
Walter Roberson on 23 Jan 2020
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.

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