3.9.19 Problems 1801 to 1900

Table 3.543: First order ode linear in derivative

#

ODE

Mathematica

Maple

3749

(1+x+9y)y+1+x+5y=0

3750

(8+5x12y)y=3+2x5y

3751

(140+7x16y)y+25+8x+y=0

3752

(3+9x+21y)y=45+7x5y

3753

(ax+by)y+x=0

3754

(ax+by)y+y=0

3755

(ax+by)y+bx+ay=0

3756

(ax+by)y=bx+ay

3757

xyy+1+y2=0

3758

xyy=x+y2

3759

xyy+x2+y2=0

3760

xyy+x4y2=0

3761

xyy=ax3cos(x)+y2

3762

xyy=x2xy+y2

3763

xyy+2x22xyy2=0

3764

xyy=a+by2

3765

xyy=axn+by2

3766

xyy=(x2+1)(1y2)

3767

xyy+x2arccot(yx)y2=0

3768

xyy+x2e2yxy2=0

3769

(xy+1)y+y2=0

3770

x(y+1)y(1x)y=0

3771

x(1y)y+(1+x)y=0

3772

x(1y)y+(1x)y=0

3773

x(y+2)y+ax=0

3774

(2+3xxy)y+y=0

3775

x(4+y)y=2x+2y+y2

3776

x(a+y)y+bx+cy=0

3777

x(a+y)y=y(Bx+A)

3778

x(x+y)y+y2=0

3779

x(xy)y+y2=0

3780

x(x+y)y=x2+y2

3781

x(xy)y+2x2+3xyy2=0

3782

x(x+y)yy(x+y)+xx2y2=0

3783

(a+x(x+y))y=b(x+y)y

3784

x(y+2x)y=x2+xyy2

3785

x(4xy)y+4x26xyy2=0

3786

x(x3+y)y=(x3y)y

3787

x(2x3+y)y=(2x3y)y

3788

x(2x3+y)y=6y2

3789

y(1x)y+x(1y)=0

3790

(x+a)(x+b)y=xy

3791

2xyy+12x3y2=0

3792

2xyy+a+y2=0

3793

2xyy=ax+y2

3794

2xyy+x2+y2=0

3795

2xyy=x2+y2

3796

2xyy=4x2(2x+1)+y2

3797

2xyy+x2(ax3+1)=6y2

3798

(3x+2xy)y+3x2y+y2=0

3799

x(x2y)y+y2=0

3800

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

3801

x(x2y)y+(2xy)y=0

3802

x(1+x2y)y+(12x+y)y=0

3803

x(1x2y)y+(2x+y+1)y=0

3804

2x(2x2+y)y+(12x2+y)y=0

3805

2(1+x)yy+2x3x2+y2=0

3806

x(2x+3y)y=y2

3807

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

3808

(3+6xy+x2)y+2x+2xy+3y2=0

3809

3x(2y+x)y+x3+3y(y+2x)=0

3810

axyy=x2+y2

3811

axyy+x2y2=0

3812

x(a+by)y=cy

3813

x(xay)y=y(ax+y)

3814

x(xn+ay)y+(b+cy)y2=0

3815

(1x2y)y+1xy2=0

3816

(1x2y)y1+xy2=0

3817

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

3818

x(xy+2)y=3+2x32yxy2

3819

x(2xy)y+2yxy2(xy+1)=0

3820

x(3xy)y=y(xy1)

3821

x2(1y)y+(1x)y=0

3822

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

3823

(x2+1)yy+x(1y2)=0

3824

(x2+1)yy+2x2+xy2=0

3825

2x2yy=x2(2x+1)y2

3826

x(12xy)y+y(2xy+1)=0

3827

x(2xy+1)y+(2+3xy)y=0

3828

x(2xy+1)y+(1+2xyy2x2)y=0

3829

x2(x2y)y=2x34xy2+y3

3830

2(1+x)xyy=1+y2

3831

3x2yy+1+2xy2=0

3832

x2(4x3y)y=(6x23xy+2y2)y

3833

(1x3y)y=y2x2

3834

2yyx3+a+3y2x2=0

3835

x(32x2y)y=4x3y+3y2x2

3836

x(3+2x2y)y+(4+3x2y)y=0

3837

8yyx3+3x46y2x2y4=0

3838

xy(bx2+a)y=A+By2

3839

3x4yy=12x3y2

3840

x7yy=2x2+2+5x3y

3841

yyx2+1+x1+y2=0

3842

(y+1)yx2+1=y3

3843

(g0(x)+yg1(x))y=f0(x)+f1(x)y+f2(x)y2+f3(x)y3

3844

y2y+x(2y)=0

3845

y2y=x(1+y2)

3846

(x+y2)y+y=bx+a

3847

(xy2)y=x2y

3848

(x2+y2)y+xy=0