Differential Equations/Formation of differential equations

From Differential Equations

In the introduction we briefly discussed forming a differential equation from a function, specifically,

$y=a\sin x+b\cos x,$

and we finished seeing that

$\frac{d^{2}y}{d{x}^2}=-y$

and this is obviously a differential equation of the second order, because the highest order derivative involved is the second derivative. In further lessons, we can apply this to understanding the concept of the solution to a differential equation.

Examples

Problems
Solutions