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diffalg[initial_conditions] - return the list of the initial conditions of a characterizable differential ideal
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Calling Sequence
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initial_conditions (J, order)
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Parameters
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J
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characterizable differential ideal
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order
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(optional) non-negative integer
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Description
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The initial conditions of J are the derivatives that are not derivatives of any leader of its equations (J).
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If order is present, the function initial_conditions returns the list of the initial conditions of J of order less than order.
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If order is omitted and there are only finitely many initial conditions, the function returns them all.
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If order is omitted and there are infinitely many initial conditions, FAIL is returned.
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The initial conditions appear in the terms of the power series computed for J.
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If J is a radical differential ideal presented by a list of characterizable differential ideals then the function is mapped on all its components.
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The command with(diffalg,initial_conditions) allows the use of the abbreviated form of this command.
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