What is a solution to the differential equation dy/dx=6sinx/y?

Parker Pitts

Parker Pitts

Answered question

2022-09-30

What is a solution to the differential equation d y d x = 6 sin x y ?

Answer & Explanation

goffaerothMotw1

goffaerothMotw1

Beginner2022-10-01Added 10 answers

separable!
y d y d x = 6 sin x
  y d y d x   d x =   6 sin x   d x
  d d x ( 1 2 y 2 )   d x =   6 sin x   d x
1 2 y 2 = - 6 cos x + C
y = ± C - 12 cos x

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