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boundary and intial value problems

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electronics_kumar,
Initial values and boundary conditions need to be specified in order to get a complete soution to an ordinary differential equation (ode) or partial differential equation. As an example, consider a simple RC low pass filter. Its output is defined by an ode, along with its input voltage. Consider two situations:
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The capacitor is initially discharged. This is an inital condition.
The capacitor is initially charged to a voltage of Vi. This is another initial condition fo the differential equation.
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It is apparent the the output voltage resonse will be different for the two conditions.
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Since the solution of differential equations is routinely required in electronics circuit analysis, it is also necessary to understand and consider initial conditions.
regards,
Kral
 

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