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How to find the current derivative(di/dt) at t = 0+ in the first loop?

How to find the current derivative(di/dt) at t = 0+ in the first loop?

Find the current derivative(di/dt) at t = 0+ in the first loop. Find my work 1st page. 2nd page Find the circuit image from this link

How to find the current derivative(di/dt) at t = 0+ in the first loop?

Find the current derivative(di/dt) at t = 0+ in the first loop. Find the circuit image from this link

Find the current derivative(di/dt) at t = 0+ in the first loop. Find my work 1st page. 2nd page Find the circuit image from this link