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Special Riccati equation, case 10 y '= f (x) y2 + g (x) y + anxn-1 λ a2x2nf (x) λ axng (x).

Lecture



Special type Riccati equation, case 10


y '= f (x) y 2 + g (x) y + anx n-1 λ a 2 x 2n f (x) λ ax n g (x). Special type Riccati equation.

Private solution: y 0 = ax n

The overall solution is written in this form:

  Special Riccati equation, case 10 y = f (x) y2 + g (x) y + anxn-1 λ a2x2nf (x) λ axng (x).

where C is some constant.

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HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS

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