How do you find the general solution to dy/dx=e^(x−y)?

la1noxz 2022-09-29 Answered
How do you find the general solution to d y d x = e x - y ?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Jeremy Mayo
Answered 2022-09-30 Author has 8 answers
y = e x - y = e x e - y
so this is separable
e y y = e x
  e y y   d x =   e x   d x
  d d x ( e y )   d x =   e x   d x
e y = e x + C
y = ln ( e x + C )
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more