Sky-Bj

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These are questions asked by Sky-Bj

Can I draw such figures using Maple?

If possible please guide how I can do it.

restart

V := m^4*(1-(varphi/mu)^p);

m^4*(1-(varphi/mu)^p)

(1)

V1 := diff(V, varphi);

-m^4*(varphi/mu)^p*p/varphi

(2)

V2 := diff(V1, varphi);

-m^4*(varphi/mu)^p*p^2/varphi^2+m^4*(varphi/mu)^p*p/varphi^2

(3)

f := Zeta * (varphi^2);

Zeta*varphi^2

(4)

f1 := diff(f, varphi);

2*Zeta*varphi

(5)

f2 := diff(f1, varphi);

2*Zeta

(6)

R:= simplify(((V/3-f1*V1/(3*V))/((1-kappa^2*f)/(12*kappa^2)+f1/V)));

4*kappa^2*m^4*(-3*(varphi/mu)^(2*p)*m^4+(varphi/mu)^(3*p)*m^4+3*(varphi/mu)^p*m^4-m^4-2*Zeta*(varphi/mu)^p*p+2*Zeta*(varphi/mu)^(2*p)*p)/((m^4*(Zeta*kappa^2*varphi^2-1)*(varphi/mu)^p+(-Zeta*kappa^2*varphi^2+1)*m^4+24*Zeta*varphi*kappa^2)*(-1+(varphi/mu)^p))

(7)

N:=evalf(int((3*V1*kappa^2*((2*V*V1)/3 - f1^2*V1*R/(3*V) - f1*V1^2/(3*V))/(V*(-f*kappa^2 + 1)*(-R*f1 - 2*V1))),varphi=varphi__hc..varphi__end)assuming varphi__hc > 0, varphi__hc > varphi__end);

-1.*(int(-3.*(varphi/mu)^p*p*kappa^2*(-.6666666667*m^8*(1.-1.*(varphi/mu)^p)*(varphi/mu)^p*p/varphi+5.333333333*Zeta^2*varphi*m^4*(varphi/mu)^p*p*kappa^2*(-3.*(varphi/mu)^(2.*p)*m^4+(varphi/mu)^(3.*p)*m^4+3.*(varphi/mu)^p*m^4-1.*m^4-2.*Zeta*(varphi/mu)^p*p+2.*Zeta*(varphi/mu)^(2.*p)*p)/((m^4*(Zeta*kappa^2*varphi^2-1.)*(varphi/mu)^p+(-1.*Zeta*kappa^2*varphi^2+1.)*m^4+24.*Zeta*varphi*kappa^2)*(-1.+(varphi/mu)^p)*(1.-1.*(varphi/mu)^p))-.6666666667*Zeta*m^4*((varphi/mu)^p)^2*p^2/(varphi*(1.-1.*(varphi/mu)^p)))/(varphi*(1.-1.*(varphi/mu)^p)*(-1.*Zeta*kappa^2*varphi^2+1.)*(-8.*kappa^2*m^4*(-3.*(varphi/mu)^(2.*p)*m^4+(varphi/mu)^(3.*p)*m^4+3.*(varphi/mu)^p*m^4-1.*m^4-2.*Zeta*(varphi/mu)^p*p+2.*Zeta*(varphi/mu)^(2.*p)*p)*Zeta*varphi/((m^4*(Zeta*kappa^2*varphi^2-1.)*(varphi/mu)^p+(-1.*Zeta*kappa^2*varphi^2+1.)*m^4+24.*Zeta*varphi*kappa^2)*(-1.+(varphi/mu)^p))+2.*m^4*(varphi/mu)^p*p/varphi)), varphi = varphi__end .. varphi__hc))

(8)

simplify(-1.*(int(-3.*(varphi/mu)^p*p*kappa^2*(-.6666666667*m^8*(1.-1.*(varphi/mu)^p)*(varphi/mu)^p*p/varphi+5.333333333*Zeta^2*varphi*m^4*(varphi/mu)^p*p*kappa^2*(-3.*(varphi/mu)^(2.*p)*m^4+(varphi/mu)^(3.*p)*m^4+3.*(varphi/mu)^p*m^4-1.*m^4-2.*Zeta*(varphi/mu)^p*p+2.*Zeta*(varphi/mu)^(2.*p)*p)/((m^4*(Zeta*kappa^2*varphi^2-1.)*(varphi/mu)^p+(-1.*Zeta*kappa^2*varphi^2+1.)*m^4+24.*Zeta*varphi*kappa^2)*(-1.+(varphi/mu)^p)*(1.-1.*(varphi/mu)^p))-.6666666667*Zeta*m^4*((varphi/mu)^p)^2*p^2/(varphi*(1.-1.*(varphi/mu)^p)))/(varphi*(1.-1.*(varphi/mu)^p)*(-1.*Zeta*kappa^2*varphi^2+1.)*(-8.*kappa^2*m^4*(-3.*(varphi/mu)^(2.*p)*m^4+(varphi/mu)^(3.*p)*m^4+3.*(varphi/mu)^p*m^4-1.*m^4-2.*Zeta*(varphi/mu)^p*p+2.*Zeta*(varphi/mu)^(2.*p)*p)*Zeta*varphi/((m^4*(Zeta*kappa^2*varphi^2-1.)*(varphi/mu)^p+(-1.*Zeta*kappa^2*varphi^2+1.)*m^4+24.*Zeta*varphi*kappa^2)*(-1.+(varphi/mu)^p))+2.*m^4*(varphi/mu)^p*p/varphi)), varphi = varphi__end .. varphi__hc)))

Error, (in content/content) invalid arguments

 

NULL

Download ex.mw

Hi

Why, when I run the integral command, it only prints the integral instead of solving it?

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