5.4.5 Problems 401 to 404

Table 5.205: Problems solved by Maple only

#

ODE

Mathematica

Maple

Sympy

25126

\[ {} t y^{\prime } = y+\sqrt {t^{2}-y^{2}} \]

25150

\[ {} 2 t y+\left (t^{2}+3 y^{2}\right ) y^{\prime } = 0 \]

25330

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

25478

\[ {} [y_{1}^{\prime }\left (t \right ) = t \sin \left (y_{1} \left (t \right )\right )-y_{2} \left (t \right ), y_{2}^{\prime }\left (t \right ) = y_{1} \left (t \right )+t \cos \left (y_{2} \left (t \right )\right )] \]