Examples for section 3-1-2. Trying to ﬁnd a particular solution

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1.3.6 Examples for section 3-1-2. Trying to ﬁnd a particular solution

1.3.6.1 Algorithm
1.3.6.2 Example when G is zero \(y^{\prime }=5-x-\frac {2}{x}y-x^{2}y^{2}\)
1.3.6.3 Example when G is zero \(y^{\prime }=3+x^{2}-\frac {2}{x}y-x^{2}y^{2}\)
1.3.6.4 Example when G not zero \(y^{\prime }=1+x^{2}-2xy+y^{2}\)
1.3.6.5 Example when G not zero \(y^{\prime }=-2-4x^{2}-4xy-y^{2}\)
1.3.6.6 Example when G not zero \(y^{\prime }=\frac {1}{2}\left ( 1+\sqrt {5}\right ) x+\left ( \sqrt {5}+x\right ) y+y^{2}\)
1.3.6.7 Example when G not zero \(y^{\prime }=-x+\frac {33}{16}+\left ( x^{2}-x-\frac {1}{2}\right ) y+y^{2}\)
1.3.6.8 Example when G,F not polynomials \(y^{\prime }=\frac {7}{x}-\frac {7}{x}y-y^{2}\)

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