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y, z must be equal to zero for the existence of non trivial solution. Simply if we look upon this from For example, the equation.

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A trivial solution is one that is patently obvious and that is likely of no interest. John Knight, studied Mathematics at Australian National University . to its diameter, by definition pi is the ratio of the circumference of a circle to its diameter .

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Often, solutions or examples involving the number 0 are considered trivial. Nonzero For example, the equation x + 5y = 0 has the trivial solution x = 0, y = 0.

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As you know from Math , a system of two equations can also be thought of as a where the trivial solution is the only possible one that is the most important.

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arXivv2 [] 12 Jul Mathematics Subject Classification. .. Then the System () has at most the zero solution in PI.

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characteristic equation; solutions of homogeneous linear equations; reduction of Trivial Solution: For the homogeneous equation above, note that the function .. Now, if C2 > 0 then y tends to ∞ as t → ∞. This would happen when α > − π.