Use Euler\'s method with h = 0.5 to approximatethe solution of the differential

Question

Use Euler's method with h = 0.5 to approximatethe solution of the differential equation
dy/dx=3y-2x with y(0)=0 at x=1.

Note: your answer must agree with the computed answer to at least 3digits. You should enter at least 4 or 5 digits. If an answerterminates in an exact answer, e.g. 1.50, then enter this answereven if it is fewer than the indicated number of digits.
Use Euler's method with h = 0.5 to approximatethe solution of the differential equation
dy/dx=3y-2x with y(0)=0 at x=1.

Note: your answer must agree with the computed answer to at least 3digits. You should enter at least 4 or 5 digits. If an answerterminates in an exact answer, e.g. 1.50, then enter this answereven if it is fewer than the indicated number of digits.

Explanation / Answer

h=0.5;

tmax=1.0;

t(1)= 0;

n=(tmax-t(1))/h;

y(1)=0;

tout=t(1);

yout=y(1).';

disp(' tiEULER')

disp('~~~~~~~~~~~~~~~~~~~~~~~')

for i=1:(n+1)

t(i+1)=t(1)+i*h;

%

k1=h*f(t(i),y(i));

y(i+1)=y(i)+k1;

%

tout=[tout;t(i)];

yout=[yout,y(i).'];

fprintf ('%5.2f%17.4f ',t(i),y(i));

end

function yz=f(t,y)

Use Euler's method with h = 0.5 to approximatethe solution of the differential equation
dy/dx=3y-2x with y(0)=0 at x=1.

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