Thread: Euler method

dy/dx = sin(xy), y(0) = 1

Using Euler method to find an approximate value......


When finding the approximate value, do I use sin in radians or in degrees???

You should assume radians. Radians are, in general, superior.

Especially when working with Calculus and Differential Equations. The laws and are only true for x in radians.

(In fact, the definitions of sine and cosine that you should be using at this point do not require that x be an angle at all- should not even have units just as you don't worry about the units for "x" in - but in order to connect to the "old" trigonometric definitions (and keep the engineers happy), we can think of x as being in "radians".)