What is a solution to the differential equation e^x(y'+1)=1?

joguejaseg 2022-09-23 Answered
What is a solution to the differential equation e x ( y + 1 ) = 1 ?
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Answers (1)

altaryjny94
Answered 2022-09-24 Author has 14 answers
you can tell just by looking that this is separable, so we separate it out
e x ( y + 1 ) = 1
y + 1 = e - x
y = e - x - 1
integrate both sides
  y   d x =   e - x - 1   d x
y = - e - x - x + C
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