1.1 Examples, page 35

TableĀ 1.1: Lookup table

ID

problem

ODE

4020

1

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

4021

2

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

4022

3

\(y-x = {y^{\prime }}^{2} \left (1-\frac {2 y^{\prime }}{3}\right )\)

4023

4

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