Chapter 1
Existence, uniqueness and finding singular solutions for first order ode

1.1 Existence and uniqueness for non linear first order ode in \(y\)
1.2 Existence and uniqueness for linear first order ode in \(y\)
1.3 Finding singular solutions of first order differential equations
1.4 On the choice of which method to use when solving an ode

There are two theorems that we will be using. One is for first order ode which is linear in \(y\) and one for first order ode which is not linear in \(y\).