mehran rajabi

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These are questions asked by mehran rajabi

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...

Hi:

what is the value of this expression(eq) in Maple:

eq:=(x+I*y)^2-4*exp(I*x*y)

tnx...

 

Hi everyone:

How can I convert the following phrase (eq) into the phrase in the photo?

eq:= -w*z^2/(2*E*MI*alpha^2)+w*H*sinh(alpha*H)*cosh(alpha*z)/(alpha^3*E*MI*cosh(alpha*H))-w*H*sinh(alpha*H)/(alpha^3*E*MI*cosh(alpha*H))+w*cosh(alpha*z)/(alpha^4*E*MI*cosh(alpha*H))-w/(alpha^4*E*MI*cosh(alpha*H))+w*H*z/(E*MI*alpha^2)-w*H*sinh(alpha*z)/(E*MI*alpha^3):

the phrase in the photo:

tnx...

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