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I am stuck in a problem of mutual inductance. It seems fairly simple, yet I cannot get the correct answer.

Two coils are close to each other. The first coil carries a time-varying current given by I(t) = (4.60 A) e-0.0250tsin(377 t). At t = 0.800 s, the voltage measured across the second coil is -3.60 V. What is the mutual inductance of the coils?

So, the equation I have used is: emf2 = -M dI1/dt ...which is the voltage of the second coil equals the mutual inductance times the current with respect to time. I solved for M, but the answer is not right.

My answer was: 80 V*s/A and I got various other answers but they are incorrect.

I really, really would appreciate any help! Thankyou so much!