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

kokoszzm

kokoszzm

Answered question

2022-06-25

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

Answer & Explanation

stigliy0

stigliy0

Beginner2022-06-26Added 21 answers

We have:
d r d s = 0.05 r
Which is a First Order linear separable DE. We can simply separate the variables to get
1 r d r = 0.05 d s
Then integrating gives:
ln | r | = 0.05 s + C
| r | = e 0.05 s + C
| r | = e 0.05 s e C
And as e x > 0 x R , and putting A = e C we can write the solution as:
r = A e 0.05 s

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