please i need help asap this is from last term and i am stuck [please help asap

Question ELEC1206_1 For a coupled LC oscillator with two identical inductors (with the same inductance L) and three identical capacitors (with the same capacitance C), the currents if(t) and iz(t) in the two inductors are governed by the following differential equations 1 L di,(t) dt2 [liz(t) 3i, (t)] dziz(t) 1 L cli(t) 3iz(t)] dt2 where L = 5 mH and C = 2 uF. (a) At t = 0 s, the initial currents in the two inductors are ij(0) = 0 and iz(0) = 0. Furthermore, di (t) dt = 100 A/S diz(t)| dt = 50 A/s For these initial conditions, determine the currents i1(t) and iz(t) in the two inductors with detailed working process. [26 marks] (b) For the initial conditions in (a), what is the maximum change rate of the current difference in the two inductors? When is the first time the aforementioned maximum change rate occurs? Determine the total magnetic energy of the coupled LC oscillator and compute its value at the above particular time instant. [17 marks] Question ELEC1206_1 For a coupled LC oscillator with two identical inductors (with the same inductance L) and three identical capacitors (with the same capacitance C), the currents if(t) and iz(t) in the two inductors are governed by the following differential equations 1 L di,(t) dt2 [liz(t) 3i, (t)] dziz(t) 1 L cli(t) 3iz(t)] dt2 where L = 5 mH and C = 2 uF. (a) At t = 0 s, the initial currents in the two inductors are ij(0) = 0 and iz(0) = 0. Furthermore, di (t) dt = 100 A/S diz(t)| dt = 50 A/s For these initial conditions, determine the currents i1(t) and iz(t) in the two inductors with detailed working process. [26 marks] (b) For the initial conditions in (a), what is the maximum change rate of the current difference in the two inductors? When is the first time the aforementioned maximum change rate occurs? Determine the total magnetic energy of the coupled LC oscillator and compute its value at the above particular time instant. [17 marks]