How to solve the following equations for vc(t)?

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Archit Asthana
Archit Asthana el 30 de Jul. de 2018
Comentada: Basil C. el 30 de Jul. de 2018
I have a equation vc(t) which depends on a function T, Please check the following code
vc==(291*cos((6339586188837495*t)/137438953472)*exp(-(500*t)/47))/1175000 + (368963916190342209*sin((6339586188837495*t)/137438953472)*exp(-(500*t)/47))/343597383680000000 + (1267917237767499*cos((6339586188837495*t)/137438953472)*exp(-(500*t)/47)*((582*cot((6339586188837495*T)/137438953472))/25 - (7*exp((500*T)/47))/(25*sin((6339586188837495*T)/137438953472))))/27487790694400000 - (sin((6339586188837495*t)/137438953472)*exp(-(500*t)/47)*((582*cot((6339586188837495*T)/137438953472))/25 - (7*exp((500*T)/47))/(25*sin((6339586188837495*T)/137438953472))))/94000
and
T=((vc-Vin)/Rc)*Tsw/2*1/(1.5*Il-0.5*Ipo);
How to solve for vc(t)?

Respuesta aceptada

Basil C.
Basil C. el 30 de Jul. de 2018
Editada: Basil C. el 30 de Jul. de 2018
Try the following
syms t;
T=((vc-Vin)/Rc)*Tsw/2*1/(1.5*Il-0.5*Ipo);
vc=(291*cos((6339586188837495*t)/137438953472)*exp(-(500*t)/47))/1175000 + (368963916190342209*sin((6339586188837495*t)/137438953472)*exp(-(500*t)/47))/343597383680000000 + (1267917237767499*cos((6339586188837495*t)/137438953472)*exp(-(500*t)/47)*((582*cot((6339586188837495*T)/137438953472))/25 - (7*exp((500*T)/47))/(25*sin((6339586188837495*T)/137438953472))))/27487790694400000 - (sin((6339586188837495*t)/137438953472)*exp(-(500*t)/47)*((582*cot((6339586188837495*T)/137438953472))/25 - (7*exp((500*T)/47))/(25*sin((6339586188837495*T)/137438953472))))/94000;
answer=vpasolve(vc);
Keep in mind not to use == operator to assign an equation to a variable.
And also define the value of T before defining the variable vc.
All the best
  2 comentarios
Archit Asthana
Archit Asthana el 30 de Jul. de 2018
I am assuming you meant vpasolve instead of vapsolve but still it is not working.
Basil C.
Basil C. el 30 de Jul. de 2018
Sorry about that. Could you post the value of T.

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