\left(\frac{\partial \mathcal L(a_1,…a_n, …;\dot a_1,..,\dot a_n, …;t)}{\partial a_i}\right) - \left(\frac{d}{dy} \frac{\partial \mathcal L(a_1,…a_n, …;\dot a_1,..,\dot a_n, …;t)}{\partial \dot a_i}\right) = 0 \quad \text{for } i = 1, \dots, n, i \neq j
The above equation works on this form but...