MTH643 Grand Assignment

Grand Assignment File

Solution:

clc clearall closeall

n=10; t0=0; tn=2; y0=0.5; h=(tn-t0)/n; t(1)=t0; y(1)=y0; for k=1:n t(k+1)=t(k)+h;

end

holdon

gridon

Solution:

clc clearall closeall

n=20; t0=0; tn=5; y0=1; h=(tn-t0)/n; t(1)=t0; y(1)=y0; for k=1:n t(k+1)=t(k)+h;

end

holdon sol=dsolve(' Dy=cos(t)/(1+y^2)','y(0)=1','t') 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8

1. 5
2. 5
3. 5
4. 5
5. 5
6. 5

gridon

If the first 4 digits of your student id are 1802 or 1804 (for example

Solution:

clc clearall closeall

n=20; t0=0; tn=2; y0=5; h=(tn-t0)/n; t(1)=t0; y(1)=y0; fori=1:n t(i+1)=t(i)+h;

end 0.5 1.5 2.5 3.5 4.5

1. 2
2. 4
3. 6
4. 8
5. 2
6. 4
7. 6