Problem with differential equation

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
3 replies · 3K views
jacksonjs20
Messages
9
Reaction score
0
Hi could someone please explain why

(1-x^2)y'' = 2xy'-2y

Many thanks in advance.
 
Last edited:

Discussion

Physics news on Phys.org
jacksonjs20 said:
Hi could someone please explain why

(1-x^2)y'' = 2xy'-2y

Many thanks in advance.

Your question has no sens. Or the wording is incomplete.
One cannot explain why an equation is an equation.
 
Because you have not converted it to homogeneous like other people would have?
 
Solving the linear ODE : (1-x^2)y'' - 2xy'+2y = 0 is rather easy.
A first solution is obvious. Then the equation can be reduced to a first order linear ODE.
 

Similar threads

Reduction of Order Problem for Differential Equations Class

  • M87TJC
  • · Replies 1 ·
  • Calculus and Beyond Homework Help
Replies
1

Problem on Differential Pulleys

  • nirmalya1basu
  • · Replies 11 ·
  • Introductory Physics Homework Help
Replies
11

Graduate Solving a Relativistic Momentum Problem with Differential Equations

  • la6ki
  • · Replies 4 ·
  • Differential Equations
Replies
4

Graduate Unit problem in differential equation

  • sunipa.som
  • · Replies 3 ·
  • Differential Equations
Replies
3

Undergrad Understanding Legendre differential equation

  • chwala
  • · Replies 2 ·
  • Differential Equations
Replies
2

Graduate A problem in differential equation

  • AlonsoMcLaren
  • · Replies 3 ·
  • Differential Equations
Replies
3

Undergrad Expressing a differential equation into a different format

  • Shovon00000
  • · Replies 1 ·
  • Differential Equations
Replies
1

Undergrad Proving a basis is a basis for homogeneous linear differential equation with constant (complex) coefficients

  • psie
  • · Replies 2 ·
  • Differential Equations
Replies
2

Graduate Differential equation and Appell polynomials

  • pawlo392
  • · Replies 1 ·
  • Differential Equations
Replies
1

Undergrad Solving Differential Equation Using Reduction of Order

  • giodude
  • · Replies 2 ·
  • Differential Equations
Replies
2