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

Hailie Blevins

Hailie Blevins

Answered question

2022-06-25

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

Answer & Explanation

lodosr

lodosr

Beginner2022-06-26Added 24 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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