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???
Especially when working with Calculus and Differential Equations. The laws $\displaystyle \frac{d(sin(x))}{dx}= cos(x)$ and $\displaystyle \frac{d(cos(x))}{dx}= -sin(x)$ 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 $\displaystyle x^2$- but in order to connect to the "old" trigonometric definitions (and keep the engineers happy), we can think of x as being in "radians".)