In problem 1 and 2, find a system of differential equations and initial conditions for the currents in the networks given by the schematic diagrams: the initial currents are all assumed to be zero. Solve for the currents in each branch of the network.
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3. In the electrical circuit of Figure, take R1 = R2 = 1Ω, C = 1F and L = 1 H. Derive three equations for the unknown currents I1, I2 and I3 by writing Kirchhoff's voltage law for loops 1 and 2, and Kirchhoff's current law for the top juncture. Find the general solution.
