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Student Support Forum: 'DSolve with a set of equations' topicStudent Support Forum > General > "DSolve with a set of equations"

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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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Subject (listing for 'DSolve with a set of equations')
Author Date Posted
DSolve with a set of equations spice 10/16/12 09:23am
Re: DSolve with a set of equations Bill Simpson 10/16/12 12:39pm
Re: Re: DSolve with a set of equations spice 10/16/12 3:05pm
Re: Re: Re: DSolve with a set of equations Bill Simpson 10/16/12 3:57pm
Re: Re: Re: Re: DSolve with a set of equations spice 10/17/12 02:42am
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