y'' + 3xy' + 3y = 0

Here, u is assumed to represent dy/dx or y'. dx is approximated as x1 - x. Similarly, dy = y1 - y and du = u1 - u. The value 'a' provides the number of times the numerical loop is executed. u1, x1 and y1 represent the new values of u, x and y. Thus, x1 = x + dx, y1 = udx + y, u1 = u - 3xudx - 3ydx. The ckt executes by loading the initial values of x, y, u, dx, and a.

code

code

clc;

clear all;

close all;

x=input('enter x');

y=input('enter y');

u=input('enter u');

dx=input('enter dx');

a=input('enter numerical iterations');

while x < a,

u=u-3*x*u*dx-3*y*dx;

y = y + u*dx;

x = x + dx;

end

xfinal=x

yfinal=y

Ufinal=u

__Specifications to be me :t__

1> The maximum size of inputs should be integers of size 32 bits

2> use of clock signal should be avoided if possible

__Help required:__

1>when i design the circuit, i am unable to sequence the events to occur one after the other. Kindly advice.

2>Too many registers and flip-flops are used... I need to optimize them.. If anybody could post the general logic diagram even that would be fine.

Thnxs in advance