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CharacteristicDEq

CharacteristicDEq[generalForm, algebra]
gives the differential equation which is characterized by the provided Lie algebra and the general form of the differential manifold where it lives.
  • The following options can be given :
SolveFirstFalseattempts to solve the system first algebraically
  • The setting SolveFirst -> True specifies that the system of differential equations constructed by the action of the Lie algebra specified against the general form will be first solved algebraically.
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Basic Examples   (3)
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The most general 2nd order ODE characterized by the symmetry t
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as expected, all the autonomous ODEs of second order.
 
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Similiary, the most general 2nd order ODE characterized by the symmetries t, yy
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The most general parabolic PDE which is characterized by symmetries
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