2.4.5 first order ode form A2

Table 2.1059: first order ode form A2 [4]

#

ODE

CAS classification

Solved

Maple

Mma

Sympy

time(sec)

161

\begin{align*} y^{\prime }+p \left (x \right ) y&=q \left (x \right ) y \ln \left (y\right ) \\ \end{align*}

[[_1st_order, ‘_with_symmetry_[F(x),G(x)*y+H(x)]‘]]

2.021

3016

\begin{align*} y^{\prime }+y \ln \left (y\right ) \tan \left (x \right )&=2 y \\ \end{align*}

[[_1st_order, ‘_with_symmetry_[F(x),G(x)*y+H(x)]‘]]

3.852

3680

\begin{align*} \frac {y^{\prime }}{y}+p \left (x \right ) \ln \left (y\right )&=q \left (x \right ) \\ \end{align*}

[[_1st_order, ‘_with_symmetry_[F(x),G(x)*y+H(x)]‘]]

1.895

25026

\begin{align*} y^{\prime }+y \ln \left (y\right )&=t y \\ \end{align*}

[[_1st_order, _with_linear_symmetries]]

1.405