because the trailer is already 8000 pounds. so you would add that weight with the weight of the horses. the 5t would represent the number of horses and how many pounds they are since you don't know that part of the question.

8 0

3 years ago

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Find the particular solution to y ' = 4sin(x) given the general solution is y = c - 4cos(x) and the initial condition y of pi ov

Lana71 [14]

The general solutions always have some additive/multiplicative constant, that you must fix in the particular solution.

In order to do so, you need to impose that the particular solution passes through a certain point. In your case, you have

$y(x) = c-4\cos(x)$

and you want

$y\left(\dfrac{\pi}{2}\right) = 2$

Put everything together, and you have

$y\left(\dfrac{\pi}{2}\right) = c-4\cos\left(\dfrac{\pi}{2}\right) = c = 2$

Since the cosine is zero in the chosen point. So, we've fixed the value of the constant, and the particular solution is found:

$y(x) = 2-4\cos(x)$

4 0

3 years ago