What is a solution to the differential equation dy/dx=e^x/y with y(0)=1?

pramrok62

pramrok62

Answered question

2022-09-27

What is a solution to the differential equation d y d x = e x y with y(0)=1?

Answer & Explanation

pereishen9g

pereishen9g

Beginner2022-09-28Added 7 answers

d y d x = e x y
separate
y   d y d x = e x
  y   d y = e x   d x
y 2 2 = e x + C
using the IV
1 2 2 = 1 + C C = - 1 2
y 2 = 2 e x - 1 or y = 2 e x - 1

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