Determine which of the following differential equations are separable. Do not solve the equations. y'=(sin x)(cos y)

Aleah Avery

Aleah Avery

Answered question

2022-11-03

Determine which of the following differential equations are separable. Do not solve the equations. y = ( sin x ) ( cos y )

Answer & Explanation

Paskcreessy4k5

Paskcreessy4k5

Beginner2022-11-04Added 20 answers

If differential equation can be written in the form
d y d x = g ( x ) f ( x )...(1)
then we can use separation of variables
y = sin ( x ) cos ( y )
d y d x = sin ( x ) cos ( y )
d y cos ( y ) = sin ( x ) d x
differential equation is separable.
Result:
Differential equation is separable.

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