Dr. Kevin G.
TeBeest
Assoc. Prof. of Applied Mathematics
Kettering University
RCL Example 3: No Resister with a Voltage Source
> restart;de:= diff(x(t),t$2) + 4*x(t) = 24*sin(4*t);
Solve the above ODE, subject to zero initial position and zero initial velocity. Store the result in X:
> X:= rhs( dsolve( {de, x(0)=0, D(x)(0)=0 }, x(t) ) );
Simplify the solution, and store the result in X:
> X:= combine( X, trig );
Plot the solution:
> plot( X, t=0..12, q=-6..6, title=`RLC Example 3`, ytickmarks=3,thickness=5,titlefont=[HELVETICA,BOLD,16],labelfont=[TIMES,ITALIC,14]);
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Dr. K. G. TeBeest
Applied Mathematics
Kettering University