love-algebra

20 Reputation

One Badge

3 years, 169 days

MaplePrimes Activity


These are questions asked by love-algebra

Hi
when I use this package, maple makes error like bellow. what is the problem ? thank u

Hello
I solved an equation using Maple . but in answer there is RootOf statement that I can't change to a simple statement without RootOf.

restart

``

``

((Lr2*(vo+vs)*sqrt(Lr1*Lr2)+vo*Lr1*sqrt(Lr1*Lr2))*sin(t*sqrt((Lr1+Lr2)/(Lr1*Lr2*cr)))*sqrt(cr*(Lr1+Lr2))+vs*t*Lr1*(Lr1+Lr2))/((Lr1+Lr2)^2*Lr1)

((Lr2*(vo+vs)*(Lr1*Lr2)^(1/2)+vo*Lr1*(Lr1*Lr2)^(1/2))*sin(t*((Lr1+Lr2)/(Lr1*Lr2*cr))^(1/2))*(cr*(Lr1+Lr2))^(1/2)+vs*t*Lr1*(Lr1+Lr2))/((Lr1+Lr2)^2*Lr1)``

(1)

eq := ((Lr2*(vo+vs)*sqrt(Lr1*Lr2)+vo*Lr1*sqrt(Lr1*Lr2))*sin(t*sqrt((Lr1+Lr2)/(Lr1*Lr2*cr)))*sqrt(cr*(Lr1+Lr2))+vs*t*Lr1*(Lr1+Lr2))/((Lr1+Lr2)^2*Lr1)

((Lr2*(vo+vs)*(Lr1*Lr2)^(1/2)+vo*Lr1*(Lr1*Lr2)^(1/2))*sin(t*((Lr1+Lr2)/(Lr1*Lr2*cr))^(1/2))*(cr*(Lr1+Lr2))^(1/2)+vs*t*Lr1*(Lr1+Lr2))/((Lr1+Lr2)^2*Lr1)

(2)

solve(eq, t)

-(Lr1*Lr2)^(1/2)*(Lr1*cr+Lr2*cr)^(1/2)*sin(RootOf(Lr1*sin(_Z)*(Lr1*cr+Lr2*cr)^(1/2)*((Lr1+Lr2)/(Lr1*Lr2*cr))^(1/2)*(Lr1*Lr2)^(1/2)*vo+Lr2*sin(_Z)*(Lr1*cr+Lr2*cr)^(1/2)*((Lr1+Lr2)/(Lr1*Lr2*cr))^(1/2)*(Lr1*Lr2)^(1/2)*vo+Lr2*sin(_Z)*(Lr1*cr+Lr2*cr)^(1/2)*((Lr1+Lr2)/(Lr1*Lr2*cr))^(1/2)*(Lr1*Lr2)^(1/2)*vs+_Z*Lr1^2*vs+_Z*Lr1*vs*Lr2))*(Lr1*vo+Lr2*vo+Lr2*vs)/(Lr1*(Lr1+Lr2)*vs)

(3)

``

Download spr.mw

How can I simplify to an answer without RootOf?

Thank u

Hi
I want to say maple convert this radicals to a single radical expr.

cos(sqrt(Lr1+Lr2)*t/(sqrt(Cr)*sqrt(Lr1)*sqrt(Lr2)))

convert to :

cos(sqrt((Lr1+Lr2)/(Cr*Lr1*Lr2))*t)
thank u .

Hi
i need to find equation of intersection between a plane(Z=0)  and 3d curve like below:

plane :  Z=0

curve:

sqrt(G*(2-G))+(1-G)*(arccos(G-1)+(1/5)*Pi)+k*sqrt(G*(2-G))*cos(sqrt((1+k)/k)*arccos(G-1)+(1/5)*Pi)+sqrt(k/(1+k))*(1-G)*k*sin(sqrt((1+k)/k)*arccos(G-1)+(1/5)*Pi)

I ploted Z=0 plane and that curve . it is like this .
i want equation of the pointed curve(curve equation of intersection between Z=  and curve )in bellow  such as k=f(G) .

best regards

Page 1 of 1