What is a solution to the differential equation x dy/dx=1/y?

Gaintentavyw4 2022-09-17 Answered
What is a solution to the differential equation x d y d x = 1 y ?
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Answers (1)

Isaiah Haynes
Answered 2022-09-18 Author has 16 answers
this is separable
x d y d x = 1 y
y d y d x = 1 x
y d y = 1 x d x
y 2 2 = ln x + C
y 2 = 2 ln x + C = ln x 2 + C
y = ± ln x 2 + C

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