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2.12.1
Examples
2.12.1.1
Example 1
\(y^{\prime }=\frac {-y\left ( 2x^{2}y^{3}+3\right ) }{x\left ( x^{2}y^{3}+1\right ) }\)
2.12.1.2
Example 2
\(y^{\prime }=\frac {2x\left ( -x^{4}-2x^{2}y+y^{2}\right ) }{y^{2}+2x^{2}y-x^{4}}\)
2.12.1.3
Example 3
\(y^{\prime }=-\frac {1}{2}\frac {3y^{2}-x}{y\left ( y^{2}-3x\right ) }\)
2.12.1.4
Example 4
\(y^{\prime }=-\frac {1}{2}\frac {y\left ( 1+\sqrt {x^{2}y^{4}+1}\right ) }{x}\)
2.12.1.5
Example 5
\(y^{\prime }=x\left ( 1+\frac {2y}{x}+\frac {y^{2}}{x^{4}}\right ) \)
2.12.1.6
Example 6
\(\left ( y^{\prime }\right ) ^{2}=4y-x^{2}\)
2.12.1.7
Example 7
\(y^{\prime }=\frac {ay^{n}+bx^{n\left ( m+1\right ) }}{x^{nm-m+n}}\)
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