Solving Differential Equations (Leaving Cert Applied Maths): Quizzes

Derivatives

Has $\frac{dy}{dx}$ as highest derivative

Has $\frac{d²y}{dx²}$ as highest

Three

An arbitrary constant of integration

Separate the variables

Type 2 uses initial conditions

Let $v = \frac{dy}{dx}$

All y terms one side, x terms other

$\ln x + c$

To find the specific value of $c$

The constant $c$