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## Homework Statement

Task is to write differential equation for this circuit.

E, R1, R2, R3, L are constants.

## Homework Equations

Ul = L di/dt

## The Attempt at a Solution

I guess, we have to use current method for each contour.

1st contour equation:

E = U1 + U2 + Ul = i*(R1+R2) + L di/dt

Equation arround the loop:

E = i*R1 + i2*(R1+R3)

It means that I got system:

E=i*(R1+R2) + L di/dt +

**i2***R1

E = i*R1 +

**i2***(R1+R3)

The problem is i2. I need to get i2, I guess, from second contour using L, R2 and R3. Can someone help quickly? I need this task until tomorrow.

Or I have done something wrong at the begining?

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