2.38 Problems 3701 to 3800

Table 2.75: Main lookup table

#

ODE

Mathematica result

Maple result

3701

\[ {}\left (2+2 x -y\right ) y^{\prime }+3+6 x -3 y = 0 \]

3702

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

3703

\[ {}\left (4+2 x -y\right ) y^{\prime }+5+x -2 y = 0 \]

3704

\[ {}\left (5-2 x -y\right ) y^{\prime }+4-x -2 y = 0 \]

3705

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

3706

\[ {}\left (2-3 x +y\right ) y^{\prime }+5-2 x -3 y = 0 \]

3707

\[ {}\left (4 x -y\right ) y^{\prime }+2 x -5 y = 0 \]

3708

\[ {}\left (6-4 x -y\right ) y^{\prime } = -y+2 x \]

3709

\[ {}\left (1+5 x -y\right ) y^{\prime }+5+x -5 y = 0 \]

3710

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

3711

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

3712

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

3713

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

3714

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

3715

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

3716

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

3717

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

3718

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

3719

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

3720

\[ {}\left (1+x +2 y\right ) y^{\prime }+1-x -2 y = 0 \]

3721

\[ {}\left (1+x +2 y\right ) y^{\prime }+7+x -4 y = 0 \]

3722

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

3723

\[ {}\left (3+2 x -2 y\right ) y^{\prime } = 1+6 x -2 y \]

3724

\[ {}\left (1-4 x -2 y\right ) y^{\prime }+2 x +y = 0 \]

3725

\[ {}\left (6 x -2 y\right ) y^{\prime } = 2+3 x -y \]

3726

\[ {}\left (19+9 x +2 y\right ) y^{\prime }+18-2 x -6 y = 0 \]

3727

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

3728

\[ {}\left (\tan \left (x \right ) \sec \left (x \right )-2 y\right ) y^{\prime }+\sec \left (x \right ) \left (1+2 y \sin \left (x \right )\right ) = 0 \]

3729

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

3730

\[ {}3 y^{\prime } y+5 \cot \left (x \right ) \cot \left (y\right ) \cos \left (y\right )^{2} = 0 \]

3731

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

3732

\[ {}\left (x -3 y\right ) y^{\prime }+4+3 x -y = 0 \]

3733

\[ {}\left (4-x -3 y\right ) y^{\prime }+3-x -3 y = 0 \]

3734

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

3735

\[ {}\left (5-2 x -3 y\right ) y^{\prime }+1-2 x -3 y = 0 \]

3736

\[ {}\left (1+9 x -3 y\right ) y^{\prime }+2+3 x -y = 0 \]

3737

\[ {}\left (x +4 y\right ) y^{\prime }+4 x -y = 0 \]

3738

\[ {}\left (3+2 x +4 y\right ) y^{\prime } = 1+x +2 y \]

3739

\[ {}\left (5+2 x -4 y\right ) y^{\prime } = 3+x -2 y \]

3740

\[ {}\left (5+3 x -4 y\right ) y^{\prime } = 2+7 x -3 y \]

3741

\[ {}4 \left (1-x -y\right ) y^{\prime }+2-x = 0 \]

3742

\[ {}\left (11-11 x -4 y\right ) y^{\prime } = 62-8 x -25 y \]

3743

\[ {}\left (6+3 x +5 y\right ) y^{\prime } = 2+x +7 y \]

3744

\[ {}\left (7 x +5 y\right ) y^{\prime }+10 x +8 y = 0 \]

3745

\[ {}\left (x +4 x^{3}+5 y\right ) y^{\prime }+7 x^{3}+3 x^{2} y+4 y = 0 \]

3746

\[ {}\left (5-x +6 y\right ) y^{\prime } = 3-x +4 y \]

3747

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

3748

\[ {}\left (3-3 x +7 y\right ) y^{\prime }+7-7 x +3 y = 0 \]

3749

\[ {}\left (1+x +9 y\right ) y^{\prime }+1+x +5 y = 0 \]

3750

\[ {}\left (8+5 x -12 y\right ) y^{\prime } = 3+2 x -5 y \]

3751

\[ {}\left (140+7 x -16 y\right ) y^{\prime }+25+8 x +y = 0 \]

3752

\[ {}\left (3+9 x +21 y\right ) y^{\prime } = 45+7 x -5 y \]

3753

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

3754

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

3755

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

3756

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

3757

\[ {}x y y^{\prime }+1+y^{2} = 0 \]

3758

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

3759

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

3760

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

3761

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

3762

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

3763

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

3764

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

3765

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

3766

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

3767

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

3768

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

3769

\[ {}\left (1+x y\right ) y^{\prime }+y^{2} = 0 \]

3770

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

3771

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

3772

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

3773

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

3774

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

3775

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

3776

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

3777

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

3778

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

3779

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

3780

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

3781

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

3782

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

3783

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

3784

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

3785

\[ {}x \left (4 x -y\right ) y^{\prime }+4 x^{2}-6 x y-y^{2} = 0 \]

3786

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

3787

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

3788

\[ {}x \left (2 x^{3}+y\right ) y^{\prime } = 6 y^{2} \]

3789

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

3790

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

3791

\[ {}2 x y y^{\prime }+1-2 x^{3}-y^{2} = 0 \]

3792

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

3793

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

3794

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

3795

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

3796

\[ {}2 x y y^{\prime } = 4 x^{2} \left (1+2 x \right )+y^{2} \]

3797

\[ {}2 x y y^{\prime }+x^{2} \left (a \,x^{3}+1\right ) = 6 y^{2} \]

3798

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

3799

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

3800

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