Correction for the problem after i found I3 correctly now.
The correct equation is now -14+3.3(I1)+3.4(I3)+2(I1)= 0 for the upper loop and
-16+5.3(I2)-3.4(I3)+2.9(I2) = 0 for the bottom loop. Once you separate variables, I2 = stuff and I1 = stuff, you can use the junction rule I1 = I2+I3 and...
I separated the circuit into parts- upper and lower
For the upper loop I wrote: -14-2I1-3.4I3-I2 = 0
For the lower loop I wrote 16-2.9I2+3.4I3-5.4I2 = 0
I solved for I1 and I2 separately and plugged it into the junction rule and solved for I3.
I may have got it wrong because of the...
So would t be the duration since 0.5s, Some t value - 0.5s
Let's say that I had to find the current at 1.1s, so would use the equation and substitute t for 0.6s.
Would it be either
I = 4.09A(1-e^(-1.1s/(L/R))
or I = 4.09A(1-e^(-0.6s/(L/R))
The second one was correct
I found the time constant using L/R and got 0.62s (3.6H/5.8ohms)
I found the initial current V/R and got 4.086A (23.7V/5.8ohms)
I(f) = 4.086A(1-e^(-0.5s/0.62s))
Then I plugged it into the equation and got 2.26A and it was wrong