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1.3.3
Examples for the main algorithm
1.3.3.1
\(y^{\prime }+y=\sin \left ( x\right ) \)
with one IC
\(y\left ( 0\right ) =0\)
1.3.3.2
\(y^{\prime }+y=\sin \left ( x\right ) \)
with one mixed IC
\(y\left ( 0\right ) +y\left ( 1\right ) =0\)
1.3.3.3
\(y^{\prime }+y=\sin \left ( x\right ) \)
with two IC
\(y\left ( 0\right ) =0,y^{\prime }\left ( 0\right ) =0\)
1.3.3.4
\(y^{\prime }+y=\sin \left ( x\right ) \)
with two IC
\(y\left ( 0\right ) =0,y^{\prime }\left ( 0\right ) =1\)
1.3.3.5
\(y^{\prime \prime }+y=\sin \left ( x\right ) \)
with one IC
\(y\left ( 0\right ) =0\)
1.3.3.6
\(y^{\prime \prime }+y=\sin \left ( x\right ) \)
with one mixed IC
\(y\left ( 0\right ) +y\left ( 2\right ) =8\)
1.3.3.7
\(y^{\prime \prime }+y=\sin \left ( x\right ) \)
with three IC
\(y\left ( 0\right ) =0,y\left ( 1\right ) =0,y\left ( 2\right ) =5\)
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