Chapter 1
Lookup tables for all problems in current book

1.1 Chapter 1. section 5. Problems at page 19
1.2 Chapter IV. Methods of solution: First order equations. section 24. Problems at page 62
1.3 Chapter IV. Methods of solution: First order equations. section 29. Problems at page 81
1.4 Chapter IV. Methods of solution: First order equations. section 31. Problems at page 85
1.5 Chapter IV. Methods of solution: First order equations. section 32. Problems at page 89
1.6 Chapter IV. Methods of solution: First order equations. section 33. Problems at page 91
1.7 Chapter V. Singular solutions. section 36. Problems at page 99
1.8 Chapter VII. Linear equations of order higher than the first. section 56. Problems at page 163
1.9 Chapter VII. Linear equations of order higher than the first. section 63. Problems at page 196

1.1 Chapter 1. section 5. Problems at page 19

Table 1.1: Lookup table

ID

problem

ODE

18460

2

x2yx2y22y+4yx+4y=0

18461

3

y+cy=a

18462

4

y+yx+k2y=0

18463

5

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

18464

6

y=1y2arcsin(y)x

18465

16 (a)

v=(1v+v4)1/3

18466

16 (b)

v+u2v=sin(u)

18467

17 (a)

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

18468

18

v+2vu=3

1.2 Chapter IV. Methods of solution: First order equations. section 24. Problems at page 62

Table 1.3: Lookup table

ID

problem

ODE

18469

4 (a)

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

18470

4 (b)

y+1y2x2+1=0

18471

4 (c)

yyx=b(1+x2y)

18472

5

x=k(Anx)(Mmx)

18473

6

y=1+1x1y2+21x(y2+2)

1.3 Chapter IV. Methods of solution: First order equations. section 29. Problems at page 81

Table 1.5: Lookup table

ID

problem

ODE

18474

1

y2=x(yx)y

18475

2

2x2y+y3x3y=0

18476

3

2ax+by+(2cy+bx+e)y=g

18477

4

sec(x)2tan(y)y+sec(y)2tan(x)=0

18478

5

yy+x=my

18479

6

2xy3+(1y23x2y4)y=0

18480

8

(T+1t2T2)T=Ttt2T2t

1.4 Chapter IV. Methods of solution: First order equations. section 31. Problems at page 85

Table 1.7: Lookup table

ID

problem

ODE

18481

1

y+xy=x

18482

2

y+yx=sin(x)

18483

3

y+yx=sin(x)y3

18484

4

p=p+at32pt2t(t2+1)

18485

5

(Tln(t)1)T=tT

18486

6

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

18487

7

ycos(x)y=y2cos(x)(1sin(x))

1.5 Chapter IV. Methods of solution: First order equations. section 32. Problems at page 89

Table 1.9: Lookup table

ID

problem

ODE

18488

2

xy2+2yy=0

18489

3

2y3+y2y=0

18490

4

y=ezy

18491

5

t2+T=T

18492

7

y2(x21)=1

18493

8

y=(x+y)2

1.6 Chapter IV. Methods of solution: First order equations. section 33. Problems at page 91

Table 1.11: Lookup table

ID

problem

ODE

18494

1

θ=p2θ

18495

2 (eq 39)

sec(θ)2=msk

18496

3 (eq 41)

y=m1+y2k

18497

4 (eq 50)

ϕ=4πncv02+2e(ϕV0)m

18498

8 (eq 68)

y=x(ay2+b)

18499

8 (eq 69)

n=(n2+1)x

18500

9 (a)

v+2vu=3v

18501

9 (b)

u2+1v=2u1v2

18502

9 (c)

1+v=eu2

18503

9 (d)

yx=ysin(x21)2yx

18504

9 (e)

y=1+2yxy

18505

10 (a)

v+2uv=2u

18506

10 (b)

1+v2+(u2+1)vv=0

18507

10 (c)

uln(u)v+sin(v)2=1

1.7 Chapter V. Singular solutions. section 36. Problems at page 99

Table 1.13: Lookup table

ID

problem

ODE

18508

1 (eq 98)

4yy32x2y2+4xyy+x3=16y2

1.8 Chapter VII. Linear equations of order higher than the first. section 56. Problems at page 163

Table 1.15: Lookup table

ID

problem

ODE

18509

1 (eq 100)

θp2θ=0

18510

2

y+y=0

18511

3

y+12y=7y

18512

4

ra2r=0

18513

5

ya4y=0

18514

6

v6v+13v=e2u

18515

7

y+4yy=sin(t)

18516

8

y+3y=sin(x)+sin(3x)3

18517

10

5x+x=sin(3t)

18518

11

x6x+11x6x=e3t

18519

14

x4y+x3y20x2y+20yx=17x6

18520

15

t4x2t3x20t2x+12tx+16x=cos(3ln(t))

1.9 Chapter VII. Linear equations of order higher than the first. section 63. Problems at page 196

Table 1.17: Lookup table

ID

problem

ODE

18521

1

yyy+y=0

18522

2

y3y+3yy=e2x

18523

3

yy+yy=cos(x)

18524

8

x2y+3yx+y=1x