2.21.2.31 second order odes with degree not one

Number of problems in this table is 7

Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.

Table 2.642: second_order_ode_high_degree

#

ODE

A

B

C

CAS classification

Solved?

Verified?

time (sec)

7391

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

2

1

1

[[_2nd_order, _quadrature]]

0.779

7394

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

2

1

1

[[_2nd_order, _quadrature]]

0.717

7397

\[ {}{y^{\prime \prime }}^{2} = 1 \]

2

2

2

[[_2nd_order, _quadrature]]

1.793

7399

\[ {}{y^{\prime \prime }}^{2} = x \]

2

2

2

[[_2nd_order, _quadrature]]

0.783

7400

\[ {}{y^{\prime \prime }}^{3} = 0 \]

3

1

1

[[_2nd_order, _quadrature]]

0.933

10148

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

2

4

5

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

3.767

12197

\[ {}{y^{\prime \prime }}^{3}+y^{\prime \prime }+1 = x \]

3

3

3

[[_2nd_order, _quadrature]]

3.099