| Author |
Comment/Response |
Bill Simpson
|
 10/16/12 12:39pm
In[1]:= eq3:=iL[t]==C*vC'[t];
eq4:=VDC==L*iL'[t]+vC[t];
bound1:=iL[0]==Ib;
bound2:=L*iL'[0]==vL0;
Simplify[DSolve[{eq3,eq4,bound1,bound2},{iL[t],vC[t]},t]]
Out[5]= {{
vC[t] -> VDC - vL0*Cos[t/(Sqrt[C]*Sqrt[L])] + (Ib*Sqrt[L]*Sin[t/(Sqrt[C]*Sqrt[L])])/Sqrt[C],
iL[t] -> Ib*Cos[t/(Sqrt[C]*Sqrt[L])] + (Sqrt[C]*vL0*Sin[t/(Sqrt[C]*Sqrt[L])])/Sqrt[L]
}}
Please check this carefully
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