Writing mesh equations for a RL circuit

[TheBlueDot]

Homework Statement

Write the equations for the two mesh current i₁ and i₂. The circuit and the answer to mesh 1 are showing below

Homework Equations

The Attempt at a Solution

My answer came out to be the same as the answer key except for the -25di₁/dt term. It seems that this term gets counted twice. Could someone please help me understand this problem? Thanks!

 

[gneill]

The mesh current $i_1$ passes through both inductors so it contributes two mutual inductance terms to the loop.