6.91 Problems 9001 to 9100

Table 6.181: Main lookup table sequentially arranged

#

ODE

Mathematica

Maple

Sympy

9001

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

9002

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

9003

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

9004

\[ {} c y^{\prime } = \frac {a x +b y^{2}}{r} \]

9005

\[ {} c y^{\prime } = \frac {a x +b y^{2}}{r x} \]

9006

\[ {} c y^{\prime } = \frac {a x +b y^{2}}{r \,x^{2}} \]

9007

\[ {} c y^{\prime } = \frac {a x +b y^{2}}{y} \]

9008

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

9009

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

9010

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

9011

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

9012

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

9013

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

9014

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

9015

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

9016

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

9017

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

9018

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

9019

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

9020

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

9021

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

9022

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

9023

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

9024

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

9025

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

9026

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

9027

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

9028

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

9029

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

9030

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

9031

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

9032

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

9033

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

9034

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

9035

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

9036

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

9037

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

9038

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

9039

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

9040

\[ {} {y^{\prime }}^{2} = \frac {1}{x y^{3}} \]

9041

\[ {} {y^{\prime }}^{2} = \frac {1}{x^{2} y^{3}} \]

9042

\[ {} {y^{\prime }}^{4} = \frac {1}{x y^{3}} \]

9043

\[ {} {y^{\prime }}^{2} = \frac {1}{x^{3} y^{4}} \]

9044

\[ {} y^{\prime } = \sqrt {1+6 x +y} \]

9045

\[ {} y^{\prime } = \left (1+6 x +y\right )^{{1}/{3}} \]

9046

\[ {} y^{\prime } = \left (1+6 x +y\right )^{{1}/{4}} \]

9047

\[ {} y^{\prime } = \left (a +b x +y\right )^{4} \]

9048

\[ {} y^{\prime } = \left (\pi +x +7 y\right )^{{7}/{2}} \]

9049

\[ {} y^{\prime } = \left (a +b x +c y\right )^{6} \]

9050

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

9051

\[ {} y^{\prime } = 10+{\mathrm e}^{x +y} \]

9052

\[ {} y^{\prime } = 10 \,{\mathrm e}^{x +y}+x^{2} \]

9053

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

9054

\[ {} y^{\prime } = 5 \,{\mathrm e}^{x^{2}+20 y}+\sin \left (x \right ) \]

9055

\[ {} [x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right ) = y \left (t \right )+t, x^{\prime }\left (t \right )+y^{\prime }\left (t \right ) = 2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}] \]

9056

\[ {} [2 x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right ) = y \left (t \right )+t, x^{\prime }\left (t \right )+y^{\prime }\left (t \right ) = 2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}] \]

9057

\[ {} [x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right ) = y \left (t \right )+t +\sin \left (t \right )+\cos \left (t \right ), x^{\prime }\left (t \right )+y^{\prime }\left (t \right ) = 2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}] \]

9058

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

9059

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

9060

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

9061

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

9062

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

9063

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

9064

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

9065

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

9066

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

9067

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

9068

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

9069

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

9070

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

9071

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

9072

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

9073

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

9074

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

9075

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

9076

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

9077

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

9078

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

9079

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

9080

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

9081

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

9082

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

9083

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

9084

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

9085

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

9086

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

9087

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

9088

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

9089

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

9090

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

9091

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

9092

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

9093

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

9094

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

9095

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

9096

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

9097

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

9098

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

9099

\[ {} y^{\prime \prime }+y^{\prime }+y = x^{3}+x^{2}+x +1 \]

9100

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