So as you can see the response of LM741 is linear and of TL081 is exponential, but why? My schematic is an inverting amplifier with v=10.
The LM741 is being slew-rate limited here; op amps have a maximum slew rate, which is the maximum slope at which the output can change. The LM741 has a particularly low one (it's about the worst op amp on the market, and really shouldn't be used for anything. I don't know why it's still manufactured.).
The TL081 is faster, but approaches its final value exponentially likely because your feedback network is slowing it down somewhat; it'd help if we could see the circuit including the actual resistances used.
Real world op-amps have limitations of the real world.
One such limitation is bandwidth. They do not have infinite bandwidth and it means for a relatively fast step input which has relatively high bandwidth, the op-amp output will not be a step but something limited by the bandwidth.
Different op-amps have different circuitry and different bandwidth.
Also the simulation model for the op-amps may be true or approximate or arbitrary very simple model where bandwidth is simulated just with limited slew rate so the output will be a trapezoid.