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Special type Riccati equation

Lecture




y '= ay 2 + bx n . Special type Riccati equation.

1. Solution for n ≠ -2:

Special type Riccati equation

where k = (n + 2) / 2; J m (z) and Y m (z) are Bessel functions: C 1 and C 2 are some constants.

2. Solution for n = -2:



Special type Riccati equation

where λ is the root of the quadratic equation aλ 2 + λ + b = 0.

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HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS

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