Question

Write a matlab script file to solve the differential equation dy/dt = 1 − y^3 with initial condition y(0)=0, from t=0 to t=10. matlab question

Answer 1

Code:

%quation y' = 1 - y^3
f = @(t,y) 1 - y^3;
%Initial condition y(0) = 0
y0 = 0;
%Initial t = 0
t0 = 0;
%Final t = 10
tf = 10;
%Using ode45 function to solve differntial equation
[t,y] = ode45(f, [t0,tf], y0);

%plotting the result
plot(t,y);
%Labelling x and y axis and turning on the grid
xlabel('t');
ylabel('y(t)');
grid on;

Code Photo:

Output: