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1.2
Examples
1.2.1
Example 1
\(y\left ( y^{\prime }\right ) ^{2}-4xy^{\prime }+y=0\)
1.2.2
Example 2
\(y-xy^{\prime }-y^{\prime }+\left ( y^{\prime }\right ) ^{2}=0\)
1.2.3
Example 3
\(y-ay^{\prime }-\sqrt {1+\left ( y^{\prime }\right ) ^{2}}=0\)
1.2.4
Example 4
\(\left ( y^{\prime }\right ) ^{2}+2\left ( y^{\prime }\right ) ^{3}+y=0\)
1.2.5
Example 5
\(x=1+y^{\prime }+\left ( y^{\prime }\right ) ^{3}\)
1.2.6
Example 6
\(x\left ( y^{\prime }\right ) ^{2}-2yy^{\prime }+4x=0\)
1.2.7
Example 8
\(e^{2y}\left ( y^{\prime }\right ) ^{3}+\left ( e^{2x}+e^{3x}\right ) y^{\prime }-e^{3x}=0\)
1.2.8
Example 9
\(y^{\prime }=-\frac {x}{2}-1+\frac {1}{2}\sqrt {x^{2}+4x+4y}\)
1.2.9
Example 10
\(y^{\prime }=-y-\sin \left ( x\right ) \)
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