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Question: Error, (in DEtools/convertsys) unable to convert to an explicit first-order system

Question:Error, (in DEtools/convertsys) unable to convert to an explicit first-order system

John Eric 80 Maple
error syntax
May 23 2014
2

Hello i want to solve the differentiel equation but i have these problem i don't understund  why !?

``

``

> 

restart:with(plots):
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mb:=765 : mp:=587 :Ib:=76.3*10^3 :Ip:=7.3*10^3 :l:=0.92 :d:=10:F:=0.042:omega:=0.56 :
> 

eq1:=(mb+mp)*diff(x(t),t$2)+mp*l*cos(alpha(t))*diff(alpha(t),t$2)+mp*[l*[diff(alpha(t),t)]^2*sin(alpha(t))]-F*sin(omega*t)=0;

1352*(diff(diff(x(t), t), t))+540.04*cos(alpha(t))*(diff(diff(alpha(t), t), t))+[540.04*[diff(alpha(t), t)]^2*sin(alpha(t))]-0.42e-1*sin(.56*t) = 0

 (1)
> 

eq2:=-mp*l*sin(alpha(t))*diff(alpha(t),t$2)+mp*[l*[diff(alpha(t),t)]^2*cos(alpha(t))]-9.81*(mp+mb)-F*sin(omega*t)=0;

-540.04*sin(alpha(t))*(diff(diff(alpha(t), t), t))+[540.04*[diff(alpha(t), t)]^2*cos(alpha(t))]-13263.12-0.42e-1*sin(.56*t) = 0

 (2)
> 

eq3:=mp*[d+l*cos(alpha(t))]*diff(x(t),t$2)+[Ip+mp*l^2+mp*d*l*cos(alpha(t))]*diff(alpha(t),t$2)-mp*sin(alpha(t))*[-l*d*alpha(t)^2]+mp*[l*9.81*sin(alpha(t))]=0;

587*[10+.92*cos(alpha(t))]*(diff(diff(x(t), t), t))+[7796.8368+5400.40*cos(alpha(t))]*(diff(diff(alpha(t), t), t))-587*sin(alpha(t))*[-9.20*alpha(t)^2]+[5297.7924*sin(alpha(t))] = 0

 (3)
> 

eq4:=mp*l*cos(alpha(t))*diff(x(t),t$2)+(Ip+mp*l^2)*diff(alpha(t),t$2)-mp*9.81*l*sin(alpha(t))=0;

540.04*cos(alpha(t))*(diff(diff(x(t), t), t))+7796.8368*(diff(diff(alpha(t), t), t))-5297.7924*sin(alpha(t)) = 0

 (4)
> 

CI:= x(0)=0,alpha(0)=0,D(x)(0)=0,D(alpha)(0)=0;

x(0) = 0, alpha(0) = 0, (D(x))(0) = 0, (D(alpha))(0) = 0

 (5)
> 

sys := eq1, eq2, eq3, eq4:
> 

``
> 

solution:=dsolve([sys,CI],numeric);

Error, (in DEtools/convertsys) unable to convert to an explicit first-order system

  
> 

 

NULL


thanks for your help

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