LCR circuit

Attached is the problem. I need help with the general solution. I know how to get the constants. I am having trouble finding my k1 and k2 values for the problem and getting a general solution. (See attached file for full problem description)

Voltage divider

We want to design a voltage divider circuit to provide an output voltage Vo=5V from a 12V source as shown in the attachment problem, the current taken from the 12 V source is to be 100mA. Find values of R1 and R2.

Thevenin's Theorem

I would like some one to show me how to work out the Thevenin Equivalent Voltage for the attached file. I have only put in resistors in the file the actual problem has a capacitor, resistor and an inductor but I have already converted them to equivalent resistances and worked out the Thevenin Impedance for the circuit.

Solve DC electrical network problems

Require worked solutions to the attached questions, for self study.

Solve electrical network problems

I require worked solutions to the attached questions for self check purposes.