2.3.15 first order ode abel

Table 2.423: first order ode abel

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ODE

CAS classification

Solved?

1183

y=y(2+y)(1+y)

[_quadrature]

1590

y+(y+1)(y1)(y2)x+1=0
i.c.

[_separable]

1594

y=2x(y33y+2)
i.c.

[_separable]

1598

y+x2(y+1)(y2)2=0

[_separable]

2868

x2+3xy=y3+2y
i.c.

[_rational, _Abel]

4692

y=(a+bxy)y2

[[_homogeneous, ‘class G‘], _Abel]

6019

ay3bx3/2+y=0

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

6020

axy3+by2+y=0

[[_homogeneous, ‘class G‘], _Abel]

6021

yxay3+3y2xayx2a+axa1=0

[_Abel]

6664

y+(x+y)x=x3(x+y)31

[_Abel]

7057

y=y(2y)(4y)

[_quadrature]

10052

ay3bx3/2+y=0

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

10055

axy3+by2+y=0

[[_homogeneous, ‘class G‘], _Abel]

10060

yxay3+3y2xayx2a+axa1=0

[_Abel]

10199

x2n+1yay3bx3n=0

[[_homogeneous, ‘class G‘], _Abel]

10691

y=(1+y2e2bx+y3e3bx)ebx

[[_1st_order, _with_linear_symmetries], _Abel]

10695

y=(1+y2e4x3+y3e2x)e2x3

[[_1st_order, _with_linear_symmetries], _Abel]

10696

y=(1+y2e2x+y3e3x)ex

[[_1st_order, _with_linear_symmetries], _Abel]

10716

y=(1+y2e2x2+y3e3x2)ex2x

[_Abel]

10870

y=(256ax2+512+512y2+128yax4+8a2x8+512y3+192x4ay2+24ya2x8+a3x12)x512

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

10878

y=(108x3/2216216y2+72x3y6x6216y3+108x3y218yx6+x9)x216

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

10895

y=32x5+64x6+64y2x6+32x4y+4x2+64x6y3+48x4y2+12x2y+164x8

[_rational, [_1st_order, ‘_with_symmetry_[F(x),G(x)]‘], _Abel]

10923

y=(8ex2+8x2ex288y2+8x2ex2y2x4e2x28y3+12x2ex2y26yx4e2x2+x6e3x2)x8

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

10934

y=x2+x+1+y2+5x2y2xy+4x43x3+y3+3y2x23xy2+3x4y6x3y+x63x5x

[_rational, [_1st_order, ‘_with_symmetry_[F(x),G(x)]‘], _Abel]

10950

y=150x3+125x+125+125y2100x3y500yx+20x6+200x7/2+500x+125y3150x3y2750y2x+60yx6+600yx7/2+1500xy8x9120x13/2600x41000x3/2125x

[_rational, _Abel]

10959

y=4cos(x)x+4sin(x)x2+4x+4+4y2+8ycos(x)x8xy+2x2cos(2x)+6x28x2cos(x)+4y3+12y2cos(x)x12xy2+6yx2cos(2x)+18x2y24ycos(x)x2+x3cos(3x)+15x3cos(x)6x3cos(2x)10x34x

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

10963

y=x(513756x3432x864x4378y1134x2576x5216y3540y2972x4y2216x4y1296y2x2+720x3y456x6594x2y144x796x8+64x9216x6y3288yx6216y2x6+432x3y2288yx8648x4y3+288yx7+864y2x5+432y2x7+1008x5y648y3x2)216(x2+1)4

[_rational, [_1st_order, ‘_with_symmetry_[F(x),G(x)]‘], _Abel]

10969

y=y(y2+yebx+e2bx)e2bx

[[_1st_order, _with_linear_symmetries], _Abel]

10970

y=y33y2x2+3x4yx6+2x

[[_1st_order, _with_linear_symmetries], _Abel]

10971

y=y3+y2x2+x4y3+x6272x3

[[_1st_order, _with_linear_symmetries], _Abel]

10973

y=y(y2+ex2y+e2x2)e2x2x

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

10975

y=y33xy2+3x2yx3+xx

[[_1st_order, _with_linear_symmetries], _rational, _Abel]

10976

y=x3y3+6y2x2+12xy+8+2xx3

[_rational, [_1st_order, ‘_with_symmetry_[F(x),G(x)]‘], _Abel]

10977

y=y3a3x3+3y2a2x2+3yax+1+a2xx3a3

[_rational, [_1st_order, ‘_with_symmetry_[F(x),G(x)]‘], _Abel]

10981

y=(1+xy)(y2x2+x2y+2xy+1+x+x2)x5

[_rational, [_1st_order, ‘_with_symmetry_[F(x),G(x)]‘], _Abel]

10982

y=y33xy2ln(x)+3x2ln(x)2yx3ln(x)3+x2+xyx2

[_Abel]

13638

x=x(x+1)(2x)

[_quadrature]

14947

yy3=8

[_quadrature]

15849

y=y3+1

[_quadrature]

15850

y=y31

[_quadrature]