2.2.30 Problems 2901 to 3000

Table 2.61: Main lookup table. Sorted sequentially by problem number.

#

ODE

CAS classification

Solved?

time (sec)

2901

xy+1+(xy1)y=0

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

1.814

2902

x+2y+(3x+6y+3)y=0

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

1.911

2903

x+2y+2=(2x+y1)y

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

4.827

2904

3xy+1+(x3y5)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

5.488

2905

6x3y+6+(2xy+5)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

2.196

2906

2x+3y+2+(yx)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

228.711

2907

x+y+4=(2x+2y1)y
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

2.236

2908

2x+3y1+(2x+3y+2)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

2.167

2909

3xy+2+(x+2y+1)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

5.668

2910

3x+2y+3(x+2y1)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

6.563

2911

x2y+3+(1x+2y)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

2.148

2912

2x+y+(4x+2y+1)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

2.266

2913

2x+y+(4x2y+1)y=0
i.c.

[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

93.877

2914

x+y+(x2y)y=0

[[_homogeneous, ‘class A‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

3.839

2915

3x+y+(x+3y)y=0

[[_homogeneous, ‘class A‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

3.761

2916

a1x+b1y+c1+(b1x+b2y+c2)y=0

[[_homogeneous, ‘class C‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

5.191

2917

x(6xy+5)+(2x3+3y)y=0

[_exact, _rational, [_1st_order, ‘_with_symmetry_[F(x),G(x)]‘], [_Abel, ‘2nd type‘, ‘class A‘]]

1.494

2918

3x2y+xy2+ex+(x3+x2y+sin(y))y=0

[_exact]

2.227

2919

2xy(x2+y2)y=0

[[_homogeneous, ‘class A‘], _rational, _dAlembert]

5.288

2920

cos(x)y2sin(y)=(2xcos(y)sin(x))y

[_exact]

10.380

2921

2xy1y+(x+3y)yy2=0

[[_homogeneous, ‘class D‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

2.189

2922

yex2x+exy=0

[[_linear, ‘class A‘]]

1.487

2923

3ysin(x)cos(y)+(xsin(y)3cos(x))y=0

[_exact]

41.390

2924

xy2+2y+(2y3x2y+2x)y=0

[_rational]

1.455

2925

2yyx2+(1x2xy2)y=0

[_separable]

1.592

2926

xy+1y+(x+2y)yy2=0

[[_homogeneous, ‘class D‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

1.867

2927

y(2+x3y)x3=(12x3y)yx2

[[_homogeneous, ‘class G‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class B‘]]

2.773

2928

y2csc(x)2+6xy2=(2cot(x)y3x2)y

[_exact, [_Abel, ‘2nd type‘, ‘class B‘]]

49.587

2929

2yx3+2xy2=(1x2+2x2y3)y

[[_homogeneous, ‘class G‘], _exact, _rational]

2.454

2930

cos(y)(xsin(y)y2)y=0

[_exact, [_1st_order, ‘_with_symmetry_[F(x)*G(y),0]‘]]

6.000

2931

2ysin(xy)+(2xsin(xy)+y3)y=0

[_exact]

45.312

2932

xcos(xy)y+sin(xy)+cos(x)x2cos(xy)yy2=0

[_exact]

6.291

2933

yexy+2xy+(xexy+x2)y=0

[_exact]

2.320

2934

x2+3y2x(3x2+4y2)+(2x2+y2)yy(3x2+4y2)=0

[[_homogeneous, ‘class A‘], _exact, _rational, _dAlembert]

42.801

2935

x2y2x(2x2+y2)+(x2+2y2)yy(2x2+y2)=0

[[_homogeneous, ‘class A‘], _exact, _rational, _dAlembert]

46.623

2936

2x2x2+y2+ln(x2+y2)+2xyyx2+y2=0

[_exact]

2.034

2937

yx+ln(x)y=0

[_linear]

0.966

2938

xy+(y+x2)y=0

[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

1.758

2939

(x2xy)y+2y=0

[_separable]

2.017

2940

x2y+y2+x3y=0

[[_homogeneous, ‘class G‘], _rational, _Bernoulli]

1.885

2941

xy31+x2y2y=0

[[_homogeneous, ‘class G‘], _rational, _Bernoulli]

3.099

2942

(x3y31)y+x2y4=0

[[_homogeneous, ‘class G‘], _rational]

2.228

2943

y(yx2)+x3y=0

[[_homogeneous, ‘class D‘], _rational, _Bernoulli]

1.761

2944

y+xy2+(xx2y)y=0

[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]]

1.999

2945

(xxx2y2)yy=0

[‘y=_G(x,y’)‘]

3.783

2946

2xy+(yx2)y=0

[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

1.617

2947

y=x(x2y1)y

[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]]

12.327

2948

exy=2xy2+yex

[_Bernoulli]

2.338

2949

(x2+y2+x)y=y

[_rational]

1.158

2950

(2x+3x2y)y+y+2xy2=0

[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]]

1.808

2951

2x2yy+x4ex2xy2=0

[[_homogeneous, ‘class D‘], _Bernoulli]

2.180

2952

y(1x4y2)+yx=0
i.c.

[[_homogeneous, ‘class G‘], _rational, _Bernoulli]

2.840

2953

(x21)y+x(x2+1)y=0
i.c.

[_separable]

1.651

2954

x2y2y+(2x3y+x)y=0
i.c.

[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]]

2.455

2955

(x2+y22y)y=2x
i.c.

[_rational, [_1st_order, ‘_with_symmetry_[F(x)*G(y),0]‘]]

1.469

2956

yx2x2y2yx=0
i.c.

[[_1st_order, ‘_with_symmetry_[F(x),G(x)*y+H(x)]‘]]

38.302

2957

y(x+y2)+x(xy2)y=0
i.c.

[[_homogeneous, ‘class G‘], _rational]

3.403

2958

yx+2y=x2

[_linear]

1.404

2959

yxy=ex22cos(x)

[_linear]

1.860

2960

y+2xy=2xex2

[_linear]

2.390

2961

y=y+3x2ex

[[_linear, ‘class A‘]]

1.655

2962

x+x=ey

[[_linear, ‘class A‘]]

0.904

2963

yx+(1+y)x=ey

[_linear]

1.423

2964

y+(2x3y)y=0

[[_homogeneous, ‘class A‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]]

4.612

2965

yx2x42y=0

[_linear]

1.564

2966

1=(ey+x)y

[[_1st_order, _with_exponential_symmetries]]

1.232

2967

y2x+(y2+2y)x=1

[_linear]

2.205

2968

yx=5y+x+1

[_linear]

1.536

2969

x2y+y2xy2x2=0

[_linear]

1.646

2970

2y+(x+1)y=exx+1

[_linear]

1.764

2971

cos(y)2+(xtan(y))y=0

[[_1st_order, ‘_with_symmetry_[F(x)*G(y),0]‘]]

4.735

2972

2y=(y4+x)y

[[_homogeneous, ‘class G‘], _rational]

2.309

2973

cos(θ)r=2+2rsin(θ)

[_linear]

2.121

2974

sin(θ)r+1+rtan(θ)=cos(θ)

[_linear]

5.710

2975

yx=2ye3y+x(3y+2)

[_linear]

2.016

2976

y2+1+(2xyy2)y=0
i.c.

[_exact, _rational, [_1st_order, ‘_with_symmetry_[F(x)*G(y),0]‘]]

2.047

2977

y+cot(x)ysec(x)=0

[_linear]

1.834

2978

y+y3+4(xy21)y=0
i.c.

[_rational, [_1st_order, ‘_with_symmetry_[F(x)*G(y),0]‘]]

1.940

2979

2yxy3+yx=0
i.c.

[_linear]

1.492

2980

y+2(x2y2)y=0
i.c.

[[_homogeneous, ‘class G‘], _rational]

3.753

2981

(x21)y+(x21)2+4y=0
i.c.

[_linear]

1.690

2982

3y2yxy3=ex22cos(x)

[_Bernoulli]

4.373

2983

y3y+xy4=xex2

[_Bernoulli]

3.487

2984

cosh(y)y+sinh(y)ex=0

[‘y=_G(x,y’)‘]

2.441

2985

sin(θ)θ+cos(θ)tet=0

[‘y=_G(x,y’)‘]

2.753

2986

xyy=x2y2

[[_homogeneous, ‘class A‘], _rational, _Bernoulli]

3.707

2987

yxy=yxex2

[_Bernoulli]

2.070

2988

xt+x(1x2t4)=0

[[_homogeneous, ‘class G‘], _rational, _Bernoulli]

3.035

2989

x2y+y2=xy

[[_homogeneous, ‘class A‘], _rational, _Bernoulli]

1.868

2990

csc(y)cot(y)y=csc(y)+ex

[‘y=_G(x,y’)‘]

2.791

2991

yxy=xy

[_separable]

1.954

2992

yx+y=y2x2cos(x)

[_Bernoulli]

3.270

2993

r+(r1r)θ=0

[_separable]

2.010

2994

yx+2y=3x3y4/3

[[_homogeneous, ‘class G‘], _rational, _Bernoulli]

5.286

2995

3y+2yx+1=xy2

[_rational, _Bernoulli]

2.750

2996

ycos(y)+(sin(y)1)cos(x)=0

[_separable]

43.027

2997

(xtan(y)2+x)y=2x2+tan(y)

[‘y=_G(x,y’)‘]

2.045

2998

y+cos(x)y=y3sin(x)

[_Bernoulli]

3.248

2999

y+y=y2et
i.c.

[[_1st_order, _with_linear_symmetries], _Bernoulli]

2.539

3000

y=x(1e2yx2)
i.c.

[[_1st_order, ‘_with_symmetry_[F(x),G(y)]‘]]

2.126