Electrical – Transient analysis of op-amp circuit

Here is some insight. The + input of the op-amp is grounded, and the negative feedback action has the effect of keeping the - input of the op-amp at the same voltage as the + input. So the - input is a virtual ground.

You can solve this by pretending that the op-amp is not there, and then solving the remaining network of resistors and current source by finding the value of \$V_o\$ which is necessary for the junction between the \$3\Omega\$ and \$2\Omega\$ resistors to be at zero volts.

The easiest way to do this is to pretend that the junction is actually grounded (not simply at 0V potential). Determine how much current is dumped into that ground through the \$2\Omega\$ resistor. But then, recognize that there is no ground there and so the current flowing toward that node actually returns via the \$3\Omega\$ feedback resistor.

The current across the feedback resistor gives you a straightforward way to determine the voltage across that resistor, which directly determines \$V_o\$.

I expect this will oscillate or otherwise not behave as you intend. The TL081 is supposedly unity gain stable, but it is unlikely stable at unity gain and with such a large capacitive load.

Even if the opamp were ideal, your circuit doesn't make sense. A perfect ideal opamp would drive its output to whatever it takes. The cap would just cause lots of current whenever it changes its output voltage.

If your intent is to low pass filter the output, put a resistor in series with the opamp output before the cap. A better answer for a low pass filter using these components is to put the resistor followed by cap to groun on the input of the opamp.