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Special Riccati equation, case 8 xy '= x2nf (x) y2 + [axnf (x) - n] y + bf (x).

Lecture



Special type Riccati equation, case 8


xy '= x 2n f (x) y 2 + [ax n f (x) - n] y + bf (x). Special type Riccati equation.

Replacing z = x n y leads to an equation with separable variables: z ' x = x n-1 f (x) (z 2 + az + b).

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HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS

Terms: HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS