4.26.31 Problems 3001 to 3008

Table 4.1551: Second order, Linear, Homogeneous and non-constant coefficients

#

ODE

Mathematica

Maple

Sympy

25375

\[ {} t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = 0 \]

25376

\[ {} y^{\prime \prime }-\tan \left (t \right ) y^{\prime }-\sec \left (t \right )^{2} y = 0 \]

25377

\[ {} \left (t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0 \]

25378

\[ {} \left (1+\cos \left (2 t \right )\right ) y^{\prime \prime }-4 y = 0 \]

25379

\[ {} t^{2} y^{\prime \prime }-2 t y^{\prime }+\left (t^{2}+2\right ) y = 0 \]

25380

\[ {} \left (-t^{2}+1\right ) y^{\prime \prime }+2 y = 0 \]

25381

\[ {} \left (-t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0 \]

25461

\[ {} t^{2} y^{\prime \prime }+5 t y^{\prime }+4 y = 0 \]