2.3.1 Problems 1 to 100

Table 2.33: Problems solved by Maple but not by Mathematica

#

ODE

Mathematica

Maple

119

2xy3y2x4+(x2y2+1y+2yx3)y=0

146

9xy4312x15y32+(8x32y1315x65y)y=0

885

y=|y|+1

1041

y2sin(x)+xy3cos(x)+(xsin(x)y+xy3cos(x))y=0

1069

6xy2+2y+(12x2y+12xy2)y=0

1105

(2x+1)y2(2x21)y4(1+x)y=0

1698

y=1+y+y2cos(t)

1897

x2+3xy=y3+2y

1941

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

1986

y(x+y2)+xy(xy2)=0

2031

1+xy(1+xy2)y=0

2083

y2+(x32xy)y=0

2085

y3+2x2y+(3x32xy2)y=0

2307

yy=y3+y2

2308

(1+y2)2=y2y

2350

3y4x=y3y+1

3000

yx=y2(12y3)

3022

xyy=(1+x)(y+1)

3137

cos(y)xsin(y)y=sec(x)2

3229

y3+y2=xyy

3231

y=xyx2y3

3232

y(y2xy)3=y2

3236

5y+y2=x(x+y)

3304

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

3639

xny+x2n2+y2+(1n)xn1=0

4251

y3xy+ay=0

4252

y3+2xyy=0

4253

y32xyy=0

4260

y3+e3x2y(y1)=0

4261

y3+e2y(e2x+e3x)ye3x2y=0

4266

y3+a0y2+a1y+a2+a3y=0

4274

2y3+xy2y=0

4275

2y3+y2y=0

4278

8y3+12y2=27x+27y

4290

x6y3xyy=0

4294

y2y3xy+y=0

4299

y3y3(13x)y2y2+3x2yy+x3y2=0

4305

y4+xy3y=0

4451

x+y+(3x+3y4)y=0

4658

y=3ky22

4668

y=2yy

4839

y+yy=0

4840

y+yy=0

4841

y+yy=0

5346

y34x4y+8x3y=0

5761

x2+2xyy2+(y2+2xyx2)y=0

5813

ycot(x)y+cos(x)y=0

6100

y+sin(y)=0

6246

y=yey

6797

2xy36yy2+x4=0

6807

y=x6y3xy

6811

2y3+xy2y=0

6813

y3+2xyy=0

6839

2y=sin(2y)

6840

2y=sin(2y)

6856

y22y+y22xy+x2=0

6858

y3=12y(xy2y)

6874

y4+xy3y=0

6878

y32xyy=0

7102

y=4sin(xy)4

7108

y2y=x

7178

yx2yx2yx2=0

7182

yx2yx2yx3x2=0

7183

yx2yx3yx4x2=0

7212

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

7254

(y2xy)2=y3

7462

(x2+1)y+(1+x)y+y=4cos(ln(1+x))

7554

(2x5+1)y+14x4y+10x3y=0

7556

(x8+1)y16x7y+72x6y=0

7976

(2x5+1)y+14x4y+10x3y=0

7978

(x8+1)y16x7y+72x6y=0

8667

yfν(x)(y+yp+1)y1gν(x)(y+yq+1)y1=0

8766

(a2x+c2)y2+(a1x+b1y+c1)y+a0x+b0y+c0=0

8824

y2y2+2xyy+ay2+bx+c=0

9634

x3y+x2y+(x2a+bx+a)y=0

9690

x2(x21)y2x3y((an)(a+n+1)x2(x21)+2x2a+n(n+1)(x21))y=0

9720

y=bxy(x21)a(cx2+dx+e)ya(x21)2

9730

y=((14a)x21)yx(x21)((v2+x2)(x21)2+4a(1+a)x42ax2(x21))yx2(x21)2

9747

y=(x2sin(x)2xcos(x))yx2cos(x)(2cos(x)xsin(x))yx2cos(x)

9762

y=bcos(x)ysin(x)a(ccos(x)2+dcos(x)+e)yasin(x)2

9827

x2y(x+ν)xy+ν(2x+1)yν(1+x)y=0

9841

x3y+(x+3)x2y+5(x6)xy+(4x+30)y=0

9875

x2y+2xy+aybx2=0

9895

(x21)2y+10x(x21)y+(24x282(μ(μ+1)+ν(ν+1))(x21))y6x(μ(μ+1)+ν(ν+1)2)y+((μ(μ+1)ν(ν+1))22μ(μ+1)2ν(ν+1))y=0

9914

yy2=0

9926

y1(ay2+bxy+cx2+αy+βx+γ)32=0

9936

y+5ay6y2+6a2y=0

10001

x2yax2y2+by2=0

10102

y2y+yy2+ax=0

10103

y2y+yy2axb=0

10134

x2+y2ya(1+y2)32=0

10141

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

10142

ax3yy+by2=0

10150

a2y22axy+y=0

10156

(a2y2b2)y22a2yy2y+(a2y21)y2=0

10255

[x(t)+y(t)=x(t)y(t),y(t)+z(t)=y(t)z(t),x(t)+z(t)=x(t)z(t)]

10258

[x(t)=x(t)(y(t)2z(t)2),y(t)=y(t)(z(t)2+x(t)2),z(t)=z(t)(x(t)2+y(t)2)]

10349

ax2(1+x)2(y+λy2)+bx2+cx+s=0

10392

(a2x2+b2x+c2)y=y2+(a1x+b1)y+a0x2+b0x+c0

10405

(axn+bxm+c)y=cy2bxm1y+axn2