In this problem you will design an oscillator. The equation for your oscillator is

\[
\frac{d^{2} v_{\mathrm{O}}(t)}{d t^{2}}+v_{\mathrm{O}}(t)=0 \mathrm{~V}
\]

(a) Draw a block diagram to solve your equation ( \(v_{\mathrm{O}}(t)\) should be your output) using differentiators.

(b) Draw a block diagram to solve your equation ( \(v_{\mathrm{O}}(t)\) should be your output) using integrators.

(c) Design a circuit using OP AMP integrators to realize your block diagram.

(d) Using Multisim, simulate your circuit and show that your output is an oscillator. Give both capacitors in the circuit 2-V initial conditions. What is its oscillating frequency? What could you do to alter the oscillating frequency?