Hi everyone:

I want to write the below serie in Maple, how can I do it?

where: k = 0,.....,n

n is a Natural number.

tnx...

Hi:

How can I solve this system with numerical method:

eq1 := diff(f_n(zeta), zeta$2)-h_n(zeta)*(diff(f_n(zeta), zeta))-f_n(zeta)^2+g_n(zeta)^2 = 0;
eq2 := diff(g_n(zeta), zeta$2)-h_n(zeta)*(diff(g_n(zeta), zeta))-2*f_n(zeta)*g_n(zeta) = 0;
eq3 := 2*f_n(zeta)+diff(h_n(zeta), zeta) = 0;
ics := f_n(0) = 0, f_n(10) = 0, g_n(0) = 1, g_n(10) = 0, h_n(0) = 0;
tnx...

Hi:

How can I solve the below ODE system in Maple?

sys_ode := diff(F0(zeta), zeta, zeta)-b^2*F0(zeta)+G0(zeta)^2 = 0, diff(G0(zeta), zeta, zeta)-b^2*G0(zeta) = 0, 2*F0(zeta)+diff(H0(zeta), zeta) = 0:
ics := F0(0) = 0, G0(0) = 1, H0(0) = 0, F0(infinity) = 0, G0(infinity) = 0:

Note: b is a constant.

tnx...

Hi everyone:

How can I earn the coefficients with P only in this equation? (No P^2 or P^3).

eq:=p*(diff(F1(zeta), zeta, zeta))-b^2*p*F1(zeta)+2*G0(zeta)*p*G1(zeta)+p^2*G1(zeta)^2-p*H0(zeta)*(diff(F0(zeta), zeta))-H0(zeta)*p^2*(diff(F1(zeta), zeta))-p^2*H1(zeta)*(diff(F0(zeta), zeta))-p^3*H1(zeta)*(diff(F1(zeta), zeta))-p*F0(zeta)^2-2*F0(zeta)*p^2*F1(zeta)-p^3*F1(zeta)^2+p*b^2*F0(zeta)+b^2*p^2*F1(zeta):

tnx...

Hi everyone:

How can I calculate these differentials? (a, b and R are constants). 

tnx...