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Say for example you have a Input Voltage in a circuit that is equal to Vin = 4cost + 5sin2t. Clearly, the input is operating on two different frequencies, namely w=1 and w=2. I am trying to find the Output Voltage across an arbitrary resistor in the circuit. The circuit consists of resistors and a capacitor, so its quite plain and standard.

My question is, how do you solve for the output given the above input, considering the different frequencies? My intuitions tells me to solve using Vin=4cost first and get the Vout, then solve using Vin=5sin2t and get another value for Vout, and the actual Vout will be the sum of the two. Is that correct?

My question is, how do you solve for the output given the above input, considering the different frequencies? My intuitions tells me to solve using Vin=4cost first and get the Vout, then solve using Vin=5sin2t and get another value for Vout, and the actual Vout will be the sum of the two. Is that correct?

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