How in the world do you get from here to here

  • Thread starter Thread starter bmed90
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around a differential equation problem involving the transformation of an equation from one form to another. The original poster is seeking clarification on the steps involved in manipulating the equation, specifically regarding the roles of dy and 1/x in the process.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to understand the transition from the differential equation to its simplified form and questions the disappearance of certain terms. Some participants suggest using the quotient rule to find the derivative of the expression y/x.

Discussion Status

The discussion is ongoing, with participants providing guidance on applying the quotient rule. However, there is no explicit consensus on the original poster's question regarding the manipulation of terms.

Contextual Notes

The problem is framed within the context of solving a linear differential equation using an integrating factor, which may impose certain constraints on the approach taken.

bmed90
Messages
99
Reaction score
0

Homework Statement



(1/x)(dy/dx)-(y/x^2)=e^x


to


d/dx(y/x)=e^x


where does the dy go and where does the 1/x go??

This is a DIFF EQ problem btw...LineaR Eq solving by integrating factor...


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
Find d/dx of y(x)/x. Use the quotient rule.
 
?
 
bmed90 said:
?

The derivative of f(x)/g(x) with respect to x is (f'(x)*g(x)-g'(x)*f(x))/g(x)^2. It's called the quotient rule, look it up. Apply it to y(x)/x.
 
Last edited:

Similar threads

Finding the rate of change of x in the equation
  • · Replies 8 ·
Replies
8
Views
2K
Relationship between autonomous system and related single equation
  • · Replies 3 ·
Replies
3
Views
2K
How should I show that the transformation makes the system Hamiltonian?
  • · Replies 4 ·
Replies
4
Views
2K
Solve the given first order differential equation
  • · Replies 8 ·
Replies
8
Views
2K
How should I find the equilibrium points and the general equation?
  • · Replies 3 ·
Replies
3
Views
2K
Understanding Equlibrium Points in differential equations
  • · Replies 9 ·
Replies
9
Views
2K
Put the eigenvalue function in self-adjoint form
  • · Replies 2 ·
Replies
2
Views
1K
How should I use the Jacobi equation to determine the nature of this?
  • · Replies 5 ·
Replies
5
Views
2K
Solve this problem that involves implicit differentiation
  • · Replies 15 ·
Replies
15
Views
2K
Determine the mean square error of a simple distribution
  • · Replies 4 ·
Replies
4
Views
2K