4.25.10 Problems 901 to 920

Table 4.1111: Second order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

18612

\[ {} e y^{\prime \prime } = P \left (-y+a \right ) \]

18629

\[ {} y^{\prime \prime } = -y a^{2} \]

18655

\[ {} y^{\prime \prime }-k^{2} y = 0 \]

18796

\[ {} y^{\prime \prime }+3 y^{\prime }-54 y = 0 \]

18797

\[ {} y^{\prime \prime }-m^{2} y = 0 \]

18798

\[ {} 2 y^{\prime \prime }+5 y^{\prime }-12 y = 0 \]

18799

\[ {} 9 y^{\prime \prime }+18 y^{\prime }-16 y = 0 \]

18802

\[ {} y^{\prime \prime }+8 y^{\prime }+25 y = 0 \]

18886

\[ {} y^{\prime \prime }+y a^{2} = 0 \]

18928

\[ {} a y^{\prime \prime } = y^{\prime } \]

19088

\[ {} y^{\prime \prime }-n^{2} y = 0 \]

19090

\[ {} 2 x^{\prime \prime }+5 x^{\prime }-12 x = 0 \]

19091

\[ {} y^{\prime \prime }+3 y^{\prime }-54 y = 0 \]

19092

\[ {} 9 x^{\prime \prime }+18 x^{\prime }-16 x = 0 \]

19094

\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]

19303

\[ {} y^{\prime \prime } = y \]

19305

\[ {} y^{\prime \prime }-y a^{2} = 0 \]

19329

\[ {} a y^{\prime \prime } = y^{\prime } \]

19351

\[ {} y^{\prime \prime }+y a^{2} = 0 \]

19458

\[ {} 2 y^{\prime \prime }+9 y^{\prime }-18 y = 0 \]