Designing a purely reactive circuit with the following requirements
I remember doing this kind of thing about 3 years back, though I've forgotten the specifics. You might want to look up \$1^{st}\$ and \$2^{nd}\$ Cauer forms, which will give you the connection and basis for calculating the values of inductance and capacitance required in the circuit.

The network equations will be in the complex frequency domain (equations(s) in the \$s\$-domain also called \$Laplace \space \text{domain}\$). These equations can be easily implemented in Simulink (a "toolbox" in Matlab) using integrators and differentiators.