Question

In \[\frac{dy}{dx}+Py=Q\], what may \[P\] and \[Q\] be?

Options

• Constants or functions of \[y\] only

• Constants or functions of \[x\] only

• Functions of \[\frac{dy}{dx}\] only

• Functions of both \[x\] and \[y\] only

Answer 1

For the standard linear form \[\frac{dy}{dx}+Py=Q\], \[P\] and \[Q\] depend on \[x\] only. They may also be constants.