2.78 Problems 7701 to 7800

Table 2.78: Main lookup table

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ODE

Mathematica result

Maple result

7701

xysin(xy)=0

7702

xy+(sin(y)3x2cos(y))cos(y)=0

7703

xyxsin(yx)y=0

7704

xy+xcos(yx)y+x=0

7705

xy+xtan(yx)y=0

7706

xyyf(xy)=0

7707

xyyf(xayb)=0

7708

xy+ayf(x)g(xay)=0

7709

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

7710

2xyy2x3=0

7711

(1+2x)y4ey+2=0

7712

3xy3xln(x)y4y=0

7713

x2y+yx=0

7714

x2yy+x2ex1x=0

7715

x2y(x1)y=0

7716

x2y+y2+xy+x2=0

7717

x2yy2xy=0

7718

x2yy2xyx2=0

7719

x2(y+y2)+axkb(b1)=0

7720

x2(y+y2)+4xy+2=0

7721

x2(y+y2)+yax+b=0

7722

x2(yy2)ax2y+ax+2=0

7723

x2(y+ay2)b=0

7724

x2(y+ay2)+bxα+c=0

7725

x2y+ay3ax2y2=0

7726

x2y+xy3+ay2=0

7727

x2y+ax2y3+by2=0

7728

(x2+1)y+xy1=0

7729

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

7730

(x2+1)y+2xy2x2=0

7731

(x2+1)y+(1+y2)(2xy1)=0

7732

(x2+1)y+xsin(y)cos(y)x(x2+1)(cos2(y))=0

7733

(x21)yxy+a=0

7734

(x21)y+2xycos(x)=0

7735

(x21)y+y22xy+1=0

7736

(x21)yy(x+y)=0

7737

(x21)y+a(y22xy+1)=0

7738

(x21)y+axy2+xy=0

7739

(x21)y2xyln(y)=0

7740

(x24)y+(2+x)y24y=0

7741

(x25x+6)y+3xy8y+x2=0

7742

(xa)(xb)y+y2+k(y+xa)(y+xb)=0

7743

2x2y2y2xy+2a2x=0

7744

2x2y2y23xy+2a2x=0

7745

x(2x1)y+y2(1+4x)y+4x=0

7746

2x(x1)y+(x1)y2x=0

7747

3x2y7y23xyx2=0

7748

3(x24)y+y2xy3=0

7749

(ax+b)2y+(ax+b)y3+cy2=0

7750

x3yy2x4=0

7751

x3yy2x2y=0

7752

x3yx4y2+x2y+20=0

7753

x3yx6y2(2x3)x2y+3=0

7754

x(x2+1)y+x2y=0

7755

x(x21)y(2x21)y+ax3=0

7756

x(x21)y+(x21)y2x2=0

7757

x2(x1)yy2x(2+x)y=0

7758

2x(x21)y+2(x21)y2(3x25)y+x23=0

7759

3x(x21)y+xy2(x2+1)y3x=0

7760

(ax2+bx+c)(y+xy)y2+x2=0

7761

x4(y+y2)+a=0

7762

x(x31)y2xy2+y+x2=0

7763

(2x4x)y2(x31)y=0

7764

(ax2+bx+c)2(y+y2)+A=0

7765

x7y+2(x2+1)y3+5x3y2=0

7766

xny+y2(n1)xn1y+x2n2=0

7767

xnyay2bx2n2=0

7768

x2n+1yay3bx3n=0

7769

xm(n1)+nyaynbxn(m+1)=0

7770

x21yy21=0

7771

x2+1yyy21=0

7772

a2+x2y+ya2+x2+x=0

7773

xyln(x)+yax(ln(x)+1)=0

7774

xyln(x)y2ln(x)(2ln(x)2+1)yln(x)3=0

7775

sin(x)yy2(sin2(x))+(cos(x)3sin(x))y+4=0

7776

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

7777

cos(x)yy4ysin(x)=0

7778

sin(x)cos(x)yy(sin3(x))=0

7779

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

7780

(a(sin2(x))+b)y+aysin(2x)+Ax(a(sin2(x))+c)=0

7781

2f(x)y+2f(x)y2f(x)y2f(x)2=0

7782

f(x)y+g(x)s(y)+h(x)=0

7783

yy+y+x3=0

7784

yy+ay+x=0

7785

yy+ay+(a21)x4+bxn=0

7786

yy+ay+bex2a=0

7787

yy+y2+4(x+1)x=0

7788

yy+ay2bcos(x+c)=0

7789

yyay2+b=0

7790

yy+xy24x=0

7791

yyxexy=0

7792

yy+f(x2+y2)g(x)+x=0

7793

(y+1)yyx=0

7794

(x+y1)yy+2x+3=0

7795

(y+2x2)yy+x+1=0

7796

(y2x+1)y+y+x=0

7797

(yx2)yx=0

7798

(yx2)y+4xy=0

7799

(y+g(x))yf2(x)y2f1(x)yf0(x)=0

7800

2yyxy2x3=0