Only when the roots of the characteristic equation are imaginary do you typically express the homogeneous solution as a sinusoid. For example, if the...
I think to begin, I would imagine that Randi has the cards arranged in the same order she will seek them...for example suppose she will seek them in...
I was getting ready to reply that you need another initial condition, but you've fixed that. Also, I moved the thread to "Differential Equations" as...
That's where the sketch of the region $D$ comes in...for example when using horizontal strips, we see they are bounded on the left by the line $x=0$...
Well, if you look at the region $D$, you can see that integrating in the original order (with horizontal segments), the left and right bounds of each...