How to you find the general solution of d r </mrow> d s

Yaritza Oneill

Yaritza Oneill

Answered question

2022-05-15

How to you find the general solution of d r d s = 0.05 s?

Answer & Explanation

Raelynn Parker

Raelynn Parker

Beginner2022-05-16Added 12 answers

We should first separate the variables. This means we want to place all terms with r on one side of the equation and all terms with s on the other.
To do this, we can treat the differential d r d s like division, meaning we can multiply both sides of the equation by ds to "move it" to the right side. That is, we can say that:
dr=0.05s ds
Now we integrate both sides to undo the differentials:
d r = 0.05 s d s
d r = 0.05 s d s
r = 0.05 ( s 2 2 ) + C
r = 0.025 s 2 + C

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