Further Examples: RSolve

Here is the solution to a second-order ordinary recurrence equation. It uses C[1] and C[2] as the constants of summation by default.

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This solves the same equation, specifying that the summation constants are K[1] and K[2].

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You can add constraints and boundary conditions for recurrence equations.

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This verifies the solution.

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Here is the solution for a Riccati-type equation.

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Here is an equation whose solution involves Bessel functions.

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This equation is solved using Abramov and Bronstein's algorithm.

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This system is also solved using Abramov and Bronstein's algorithm.

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This equation is solved using van Hoeij's algorithm.

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The solution of this equation involves Chebyshev functions.

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The Logistic equation is solved in terms of trigonometric functions.

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This nonlinear equation is solved by a transformation method.

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RSolve also solves q-difference equations.

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