[
prev
] [
prev-tail
] [
tail
] [
up
]
3.9.8
Worked Examples on all above 4 methods
3.9.8.1
Example 1.
\(xy^{\prime \prime }+2y^{\prime }-xy=0\)
3.9.8.2
Example 2. Euler ODE
\(x^{2}y^{\prime \prime }\left ( x\right ) +xy^{\prime }\left ( x\right ) +y\left ( x\right ) =0\)
3.9.8.3
Example 3.
\(y^{\prime \prime }\sin ^{2}\left ( 2x\right ) +y^{\prime }\sin \left ( 4x\right ) -4y=0\)
3.9.8.4
Example 4.
\(\left ( 1-x^{2}\right ) y^{\prime \prime }-xy^{\prime }+y=0\)
3.9.8.5
Example 5.
\(x^{2}y^{\prime \prime }-xy^{\prime }+\left ( -x^{2}-\frac {1}{4}\right ) y=0\)
[
prev
] [
prev-tail
] [
front
] [
up
]