4.1.35 Problems 3401 to 3500

Table 4.69: First order ode

#

ODE

Mathematica

Maple

Sympy

6928

\[ {} x {y^{\prime }}^{2}-4 y^{\prime }-12 x^{3} = 0 \]

6929

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

6930

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

6933

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

6934

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

6935

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

6936

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

6937

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

6938

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

6947

\[ {} y^{\prime } = 3 y^{{2}/{3}} \]

6948

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

6949

\[ {} y^{\prime } = y^{{2}/{3}} \]

6950

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

6951

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

6952

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

6953

\[ {} \left (4-y^{2}\right ) y^{\prime } = x^{2} \]

6954

\[ {} \left (1+y^{3}\right ) y^{\prime } = x^{2} \]

6955

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

6956

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

6957

\[ {} y^{\prime } = \sqrt {y^{2}-9} \]

6958

\[ {} y^{\prime } = \sqrt {y^{2}-9} \]

6959

\[ {} y^{\prime } = \sqrt {y^{2}-9} \]

6960

\[ {} y^{\prime } = \sqrt {y^{2}-9} \]

6961

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

6962

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

6963

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

6964

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

6965

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

6966

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

6967

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

6968

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

6969

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

6970

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

6977

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

6978

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

6980

\[ {} y^{\prime }+2 y = 3 x -6 \]

6981

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

6982

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

6983

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

6984

\[ {} y^{\prime } = 2 y-4 \]

6985

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

6989

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

6990

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

6991

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

6992

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

6993

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

6994

\[ {} {y^{\prime }}^{2} = 4 x^{2} \]

6995

\[ {} y^{\prime } = 6 \sqrt {y}+5 x^{3} \]

7000

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

7001

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

7004

\[ {} x y^{\prime }+y = \frac {1}{y^{2}} \]

7005

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

7007

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

7009

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

7014

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

7015

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

7016

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

7017

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

7018

\[ {} y^{\prime } = {\mathrm e}^{-\frac {x y^{2}}{100}} \]

7019

\[ {} y^{\prime } = {\mathrm e}^{-\frac {x y^{2}}{100}} \]

7020

\[ {} y^{\prime } = {\mathrm e}^{-\frac {x y^{2}}{100}} \]

7021

\[ {} y^{\prime } = {\mathrm e}^{-\frac {x y^{2}}{100}} \]

7022

\[ {} y^{\prime } = 1-x y \]

7023

\[ {} y^{\prime } = 1-x y \]

7024

\[ {} y^{\prime } = 1-x y \]

7025

\[ {} y^{\prime } = 1-x y \]

7026

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

7027

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

7028

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

7029

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

7030

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

7031

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

7032

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

7033

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

7034

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

7035

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

7036

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

7037

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

7038

\[ {} y^{\prime } = \frac {x^{2}}{5}+y \]

7039

\[ {} y^{\prime } = \frac {x^{2}}{5}+y \]

7040

\[ {} y^{\prime } = x \,{\mathrm e}^{y} \]

7041

\[ {} y^{\prime } = x \,{\mathrm e}^{y} \]

7042

\[ {} y^{\prime } = y-\cos \left (\frac {\pi x}{2}\right ) \]

7043

\[ {} y^{\prime } = y-\cos \left (\frac {\pi x}{2}\right ) \]

7044

\[ {} y^{\prime } = 1-\frac {y}{x} \]

7045

\[ {} y^{\prime } = 1-\frac {y}{x} \]

7046

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

7047

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

7048

\[ {} y^{\prime } = x \left (y-4\right )^{2}-2 \]

7049

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

7050

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

7051

\[ {} y^{\prime } = y^{2}-y^{4} \]

7052

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

7053

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

7054

\[ {} y^{\prime } = \left (y-2\right )^{4} \]

7055

\[ {} y^{\prime } = 10+3 y-y^{2} \]

7056

\[ {} y^{\prime } = y^{2} \left (4-y^{2}\right ) \]

7057

\[ {} y^{\prime } = y \left (2-y\right ) \left (4-y\right ) \]

7058

\[ {} y^{\prime } = y \ln \left (y+2\right ) \]

7059

\[ {} y^{\prime } = \left (y \,{\mathrm e}^{y}-9 y\right ) {\mathrm e}^{-y} \]