How do we solve the following differential equation? ( y <mrow class="MJX-TeXAtom-ORD">

Aganippe76 2022-07-12 Answered
How do we solve the following differential equation?
( y ) 2 + p ( x ) ( 1 + y 2 ) 3 = 0
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)

Hayley Mccarthy
Answered 2022-07-13 Author has 19 answers
Here is one approach.
Given:
( y ) 2 + p ( x ) ( y 2 + 1 ) 3 = 0
We can solve for y' by taking square roots, yielding:
y = ±   i   p ( x )   ( y 2 + 1 ) 3 / 2
We can now separate and integrate:
1 ( y 2 + 1 ) 3 / 2   d y = ± i   p ( x )   d x
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

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