1.1 section 1

TableĀ 1.1: Lookup table

ID

problem

ODE

8484

1

\(y^{\prime \prime } = 0\)

8485

2

\({y^{\prime \prime }}^{2} = 0\)

8486

3

\({y^{\prime \prime }}^{n} = 0\)

8487

4

\(a y^{\prime \prime } = 0\)

8488

5

\(a {y^{\prime \prime }}^{2} = 0\)

8489

6

\(a {y^{\prime \prime }}^{n} = 0\)

8490

7

\(y^{\prime \prime } = 1\)

8491

8

\({y^{\prime \prime }}^{2} = 1\)

8492

9

\(y^{\prime \prime } = x\)

8493

10

\({y^{\prime \prime }}^{2} = x\)

8494

11

\({y^{\prime \prime }}^{3} = 0\)

8495

12

\(y^{\prime \prime }+y^{\prime } = 0\)

8496

13

\({y^{\prime \prime }}^{2}+y^{\prime } = 0\)

8497

14

\(y^{\prime \prime }+{y^{\prime }}^{2} = 0\)

8498

15

\(y^{\prime \prime }+y^{\prime } = 1\)

8499

16

\({y^{\prime \prime }}^{2}+y^{\prime } = 1\)

8500

17

\(y^{\prime \prime }+{y^{\prime }}^{2} = 1\)

8501

18

\(y^{\prime \prime }+y^{\prime } = x\)

8502

19

\({y^{\prime \prime }}^{2}+y^{\prime } = x\)

8503

20

\(y^{\prime \prime }+{y^{\prime }}^{2} = x\)

8504

21

\(y^{\prime \prime }+y^{\prime }+y = 0\)

8505

22

\({y^{\prime \prime }}^{2}+y^{\prime }+y = 0\)

8506

23

\(y^{\prime \prime }+{y^{\prime }}^{2}+y = 0\)

8507

24

\(y^{\prime \prime }+y^{\prime }+y = 1\)

8508

25

\(y^{\prime \prime }+y^{\prime }+y = x\)

8509

26

\(y^{\prime \prime }+y^{\prime }+y = x +1\)

8510

27

\(y^{\prime \prime }+y^{\prime }+y = x^{2}+x +1\)

8511

28

\(y^{\prime \prime }+y^{\prime }+y = x^{3}+x^{2}+x +1\)

8512

29

\(y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )\)

8513

30

\(y^{\prime \prime }+y^{\prime }+y = \cos \left (x \right )\)

8514

31

\(y^{\prime \prime }+y^{\prime } = 1\)

8515

32

\(y^{\prime \prime }+y^{\prime } = x\)

8516

33

\(y^{\prime \prime }+y^{\prime } = x +1\)

8517

34

\(y^{\prime \prime }+y^{\prime } = x^{2}+x +1\)

8518

35

\(y^{\prime \prime }+y^{\prime } = x^{3}+x^{2}+x +1\)

8519

36

\(y^{\prime \prime }+y^{\prime } = \sin \left (x \right )\)

8520

37

\(y^{\prime \prime }+y^{\prime } = \cos \left (x \right )\)

8521

38

\(y^{\prime \prime }+y = 1\)

8522

39

\(y^{\prime \prime }+y = x\)

8523

40

\(y^{\prime \prime }+y = x +1\)

8524

41

\(y^{\prime \prime }+y = x^{2}+x +1\)

8525

42

\(y^{\prime \prime }+y = x^{3}+x^{2}+x +1\)

8526

43

\(y^{\prime \prime }+y = \sin \left (x \right )\)

8527

44

\(y^{\prime \prime }+y = \cos \left (x \right )\)

8528

45

\(y {y^{\prime \prime }}^{2}+y^{\prime } = 0\)

8529

46

\(y {y^{\prime \prime }}^{2}+{y^{\prime }}^{3} = 0\)

8530

47

\(y^{2} {y^{\prime \prime }}^{2}+y^{\prime } = 0\)

8531

48

\(y {y^{\prime \prime }}^{4}+{y^{\prime }}^{2} = 0\)

8532

49

\(y^{3} {y^{\prime \prime }}^{2}+y y^{\prime } = 0\)

8533

50

\(y y^{\prime \prime }+{y^{\prime }}^{3} = 0\)

8534

51

\(y {y^{\prime \prime }}^{3}+y^{3} y^{\prime } = 0\)

8535

52

\(y {y^{\prime \prime }}^{3}+y^{3} {y^{\prime }}^{5} = 0\)