2.5.1 Examples

2.5.1.1 Example 1 \(y^{\prime }-\frac {1}{2\sqrt {x}}y=x\)
2.5.1.2 Example 2 \(y^{\prime }-\frac {y}{x}=0\)
2.5.1.3 Example 3 \(y^{\prime }+2y\cot \left ( 2x\right ) =4x\csc \left ( x\right ) \sec ^{2}\left ( x\right ) \)
2.5.1.4 Example 4 \(y^{\prime }+y\cot \left ( x\right ) =\cos x\)
2.5.1.5 Example 5 \(y^{\prime }-y\cot \left ( x\right ) =-\frac {\sin x}{x^{2}}\)