Design an op amp circuit that has two inputs v1(t) and v2(t) and produces an out

Question

Design an op amp circuit that has two inputs v1(t) and v2(t) and produces an output signal v3(t) with the following properties: The input voltages v1 and v2 arc both measured relative to the same point (ground.) The input impedance seen by v1 is 5 k Ohm. This means that when the voltage v1 is applied at the input, the input current is i1=v1/( 5kOhm). The input impedance seen by v2 is 5 k Ohm. You are only allowed to use resistors and capacitors (i.e.. no inductors.) EXTRA CREDIT: +5 extra-credit points will be awarded if you can satisfy all of the above criteria using only two op-amps.

Explanation / Answer

you need to have one op amps, a summing op amp with a feedback (using the principle of superposition). also you can see that the derivative of the first input is taken, so there must be a capacitor to implement the differentiation action. and R2/Rf=1 ==> R2=5k ==> Rf=5k and R1/Rf=4 ==> R1=20k....but the question has it to be 5k i think there is a mistake in the problem

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