Another special case. xy′ = cxn + ay − by2. (section 3-3)

1.3.3 Another special case. \(xy^{\prime }=cx^{n}+ay-by^{2}\). (section 3-3)

1.3.3.1 Case when \(n=2a\) (section 3-3 a(i))
1.3.3.2 Case when \(\frac {\left ( n-2a\right ) }{2n}=k\) with k positive integer. (section 3-3 a(ii))
1.3.3.3 Case when \(\frac {\left ( n+2a\right ) }{2n}=k\) with k positive integer. (section 3-3 a(iii))
1.3.3.4 Case of conversion to reduced riccati. section 3-3 (b)

This is used when the input is \(xy^{\prime }=cx^{n}+ay+by^{2}\) with \(c,n,a,b\) are all constants. There are 4 sub cases to solving this. The ﬁrst three if there is some special relation between \(a,n\) and if there is none found, then we convert this to reduced riccati and try again.

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