2.3.18 first order ode differential

Table 2.367: first order ode differential

#

ODE

CAS classification

Solved?

746

\[ {}\left (x +y\right ) y^{\prime } = 0 \]

[_quadrature]

3226

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

[_quadrature]

4103

\[ {}\left (\sin \left (y\right )^{2}+x \cot \left (y\right )\right ) y^{\prime } = 0 \]

[_quadrature]

4562

\[ {}y^{\prime } \sqrt {X} = 0 \]

[_quadrature]

4946

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

[_quadrature]

5097

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

[_quadrature]

5174

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

[_quadrature]

5197

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

[_quadrature]

7957

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

[_quadrature]

7972

\[ {}\left (x +y\right ) y^{\prime } = 0 \]

[_quadrature]

7973

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

[_quadrature]

7974

\[ {}\frac {y^{\prime }}{x +y} = 0 \]

[_quadrature]

7975

\[ {}\frac {y^{\prime }}{x} = 0 \]

[_quadrature]

7976

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

[_quadrature]

8221

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

[_quadrature]

8232

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

[_quadrature]

8244

\[ {}a \sin \left (x \right ) y x y^{\prime } = 0 \]

[_quadrature]

8245

\[ {}f \left (x \right ) \sin \left (x \right ) y x y^{\prime } \pi = 0 \]

[_quadrature]

8251

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

[_quadrature]

8252

\[ {}5 y^{\prime } = 0 \]

[_quadrature]

8253

\[ {}{\mathrm e} y^{\prime } = 0 \]

[_quadrature]

8254

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

[_quadrature]

8255

\[ {}y^{\prime } \sin \left (x \right ) = 0 \]

[_quadrature]

8256

\[ {}f \left (x \right ) y^{\prime } = 0 \]

[_quadrature]

8259

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

[_quadrature]

8260

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

[_quadrature]

8261

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

[_quadrature]

8262

\[ {}x y \sin \left (x \right ) y^{\prime } = 0 \]

[_quadrature]

8263

\[ {}\pi y \sin \left (x \right ) y^{\prime } = 0 \]

[_quadrature]

8264

\[ {}x \sin \left (x \right ) y^{\prime } = 0 \]

[_quadrature]

8342

\[ {}y^{3} {y^{\prime \prime }}^{2}+y y^{\prime } = 0 \]

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

8344

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

[[_2nd_order, _missing_x]]

10806

\[ {}x \left (a y^{\prime }+b y^{\prime \prime }+c y^{\prime \prime \prime }+e y^{\prime \prime \prime \prime }\right ) y = 0 \]

[[_high_order, _missing_x]]

11067

\[ {}2 y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime }}^{2} = 0 \]

[[_3rd_order, _missing_x]]

13035

\[ {}{y^{\prime }}^{3}-y^{\prime } {\mathrm e}^{2 x} = 0 \]

[_quadrature]