@Preben Alsholm thanks for your help too sir...

@tomleslie thanks for your help....

Yes, its solution exists. It was solved by RK-4 method....

Respected member!

I felt sorry for the inconvenience. Here once again i attached the code, I hope it will work.... maple.mw In case if it wont, then i mentioned my problem which i am facing while solving the Differential equation.

# I need to solve the differential equation

# Subject to boundary conditions

# Here is my try
>restart; interface(rtablesize = 16);
>alpha := 2*Pi*(1/180); EP := .2; lambda := .1; HA := 5;  Ec := .5; RE := 20;

>ODEforNum := (1+EP)*(diff(u(x), x, x, x)+4*alpha^2*(diff(u(x), x)))+2*alpha*RE*u(x)*(diff(u(x), x))-HA*alpha^2*(diff(u(x), x))-3*EP*lambda*((1/2)*(diff(u(x), x))^2*(diff(u(x), x, x, x))+(diff(u(x), x))*(diff(u(x), x, x))^2)/alpha^2-EP*lambda(72*u(x)^2*(diff(u(x), x))+2*(diff(u(x), x))^3+32*u(x)*(diff(u(x), x))*(diff(u(x), x, x))+2*u(x)^2*(diff(u(x), x, x, x))) = 0;
> BCSforNum := u(0) = 1, (D(u))(0) = 0, u(1) = 0;
>numsol := dsolve({BCSforNum, ODEforNum}, numeric, output = listprocedure);
Error, (in dsolve/numeric/bvp) Newton iteration is not converging
 

@Mariusz Iwaniuk Thank you for your help