# Prove that state equations belong to the RLC circuit

See attached file for full problem description.

Show that the state equations for this circuit are

State Equations

dq1(t)/dt = -(1/RC) * q1(t) - q2(t) + (1/C) * x(t)

dq2(t)/dt = (1/LC) * q1(t)

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#### Solution Preview

Please see the attached file.

Show that the state equations for this circuit are

State Equations

dq1(t)/dt = -(1/RC) * q1(t) - q2(t) + (1/C) * x(t)

dq2(t)/dt = (1/LC) * q1(t)

Output Equation

y(t) = q1(t)

The ...

#### Solution Summary

It proves that state equations belong to the RLC circuit. The solution is detailed and was rated '5/5' by the student who originally posted the questions.

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