3.5.4 Solve

Command structure of Solve.

In order to symbolically solve systems of equations formulated by the function CircuitEquations, Mathematica's built-in function Solve has been extended to handle DAEObjects as well. Solve returns its result as lists of rules of the form {{ -> }, }, where the variables var are assigned symbolic expressions expr.

See also: CircuitEquations, ACAnalysis, NDAESolve.

Examples

Load Analog Insydes.

In[1]:= <<AnalogInsydes`

Define netlist description.

In[2]:= vdiv = Netlist[
{V0, {1, 0}, V0},
{R1, {1, 2}, R1},
{R2, {2, 0}, R2}
]

Out[2]=

Set up a system of small-signal equations.

In[3]:= vdiveqs = CircuitEquations[vdiv]

Out[3]=

Display equations.

In[4]:= DisplayForm[vdiveqs]

Out[4]//DisplayForm=

Solve only for the variable V$2.

In[5]:= Solve[vdiveqs, V$2]

Out[5]=

Solve for the variables V$1 and V$2.

In[6]:= Solve[vdiveqs, {V$1, V$2}]

Out[6]=

Solve for all variables.

In[7]:= solution = Solve[vdiveqs]

Out[7]=

Extract value of V$2 from the list of solutions.

In[8]:= V$2 /. First[solution]

Out[8]=