Solve polynomial Diophantine equations
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solvelib::pdioe(a, b, c) returns polynomials
v that satisfy the equation
au + bv = c.
solvelib::pdioe(aexpr, bexpr, cexpr, x) does
the same after converting the arguments into univariate polynomials
b, c in the variable
If expressions are passed as arguments, a fourth argument must be provided:
solvelib::pdioe(x, 13*x + 22*x^2 + 18*x^3 + 7*x^4 + x^5 + 3, x^2 + 1, x)
x is not a multiple of the gcd of x + 1 and x2 - 1. Hence the equation u(x + 1) + v(x2 - 1) = x has no solution for u and v:
solvelib::pdioe(x + 1, x^2 - 1, x, x)
If the arguments are polynomials, the fourth argument may be omitted:
solvelib::pdioe(poly(a + 1, [a]), poly(a^2 + 1, [a]), poly(a - 1, [a]))
Identifier or indexed identifier
If the equation is solvable,
an expression sequence consisting of two operands of the same type
as the input (expressions or polynomials). If the equation has no