How to solve 24 simultaneous differential equataions.

I need to write a code to solave 24 simultaneous differential equations of the form ginven below.

m ̇_i (dT_(s,i))/dt=(UA/C_p )_i (〖T^'〗_a-T_(s,i) )+F_i^c (m_c ) ̇(T_co-T_(s,i) )+F_i^L m ̇_L (T_(L,r)-T_(s,i) ) +{█(m ̇_(m,i) (T_(s,i-1)-T_(s,i) ) if m ̇_(m,i)>0@m ̇_(m,i+1) (T_(s,i)-T_(s,i+1) ) if m ̇_(m,i+1)<0)┤

[Walter Roberson]

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