Question

MATLAB: Consider a very simple example in which the frictional force depends on the velocity. Assume that the velocity of an object obeys an equation of the form
dv /dt= a − bv,
where a and b are constants. Use the Euler method to solve the above differential equation for v as a function of time and plot the results. What is the terminal velocity for the selected parameters. (A convenient choice of parameters is a = 10 and b = 1.)

Answer 1

`Hey,

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clear
clc
a=10;
b=1;
f=@(t,v) a-b*v;
h=0.05;
t=0:h:10;
v=[0];
for i=2:length(t)
v(i)=v(i-1)+h*f(t(i-1),v(i-1));
end
plot(t,v);
fprintf('The terminal velocity is %f\n',v(length(v)));

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Thanks.