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Tricky. Definitely can't do it by inspection (we don't know any fuction that just differentaties to ln(x)), it's not like we've really got anything to substitute u for if we wanted to do it by substitu...

The first thing we notice is that this differential equation is seperable, meaning we can get all of our y's on the left with a dy and all of our x's on the right with a dx. Doing this by multiplying b...

s²​ - 18s = 0(s + 4)(s - 6) = 0s = -4 s = 6

To prove that (2n+3)²-(2n-3)² is a multiple of 8 we are going to deal with the first bracket and then the second bracket. When a bracket has ² next to it, this means that ...

1)Take the inverse sin to take x from the sin(2x):

2x=arcsin(0.5).

2)Evaluate arcsin(0.5) to get pi/6:

so 2x= pi/6

3)Dividing by 2 to simp...