Question

i wish to solve the equations v'=v^3/3-w+i, w'=g(v+a-bw) with a=0.8, b=0.7, g=0.08, i=0.5 using ode45 in matlab. i solved in on paper but i don't know how to type the codes in matlab.

i googled this but for one unfamiliar with the code, it is hard to fathom what they are solving i also would like the code to show the plots of both variables changing with time and the phase plots of both variables.

Answer 1

`Hey,

Note: If you have any queries related to the answer please do comment. I would be very happy to resolve all your queries.

clc

clear all

close all

format long

a=0.8;

b=0.7;

g=0.08;

i=0.5;

f=@(t,y) [y(1)^3/3-y(2)+i;g*(y(1)+a-b*y(2))];

[T,Y]=ode45(f,[0,1],[1,2])

plot(T,Y);

figure;

plot(Y(:,1),Y(:,2));

Kindly revert for any queries

Thanks.