Differential equations- simultaneous equations

Click For Summary
SUMMARY

The discussion centers on solving simultaneous differential equations, specifically focusing on forming equations from two given expressions. The user initially struggles to derive the correct forms for du/dx and dv/dx from the provided equations but ultimately resolves the issue, attributing the difficulty to a minor error in their calculations. The key takeaway is the importance of careful manipulation and substitution in solving simultaneous equations.

PREREQUISITES
  • Understanding of differential equations
  • Familiarity with simultaneous equations
  • Basic algebraic manipulation skills
  • Knowledge of substitution methods in calculus
NEXT STEPS
  • Study methods for solving simultaneous differential equations
  • Learn about substitution techniques in calculus
  • Explore common mistakes in algebraic manipulation
  • Practice problems involving du/dx and dv/dx derivations
USEFUL FOR

Students studying calculus, particularly those focusing on differential equations and algebra, as well as educators looking for examples of common problem-solving challenges in this area.

Jenkz
Messages
57
Reaction score
0

Homework Statement



http://img228.imageshack.us/i/cimg5162f.jpg/

This isn't the usual format, so I hope it's still ok. It's just easier than writing it out on here. I can't work out how to form a simultaneous equation from (1) and (2).

When solved it should form the du/dx and dv/dx answers written.

The Attempt at a Solution



I have tried to work backwards from the answers, but I still can't figure it out. I've also tried re-arranging (1) to find du/dx or dv/dx and subbing into (2) and trying to re-arrange, but I can't get the answers either.

Help please?
 
Physics news on Phys.org
Nevermind, I've got it now. Just a stupid mistake.
 

Similar threads

The derivative of uv wrt x using st function (homework problem)
  • · Replies 6 ·
Replies
6
Views
2K
Finding the rate of change of x in the equation
  • · Replies 8 ·
Replies
8
Views
2K
Solve the given second order differential equation
  • · Replies 16 ·
Replies
16
Views
3K
How should I use the Jacobi equation to determine the nature of this?
  • · Replies 5 ·
Replies
5
Views
2K
How Do You Solve the Differential Equation dy/dx = 1 - y^2?
  • · Replies 12 ·
Replies
12
Views
3K
Can't find the determinant of the Jacobian
  • · Replies 11 ·
Replies
11
Views
2K
Solve the given differential equation
  • · Replies 10 ·
Replies
10
Views
2K
Question on Two Differentiation Techniques
  • · Replies 25 ·
Replies
25
Views
2K
Implicit differentiation: why apply the Chain Rule?
  • · Replies 3 ·
Replies
3
Views
2K
Solving a Non-Homogeneous Linear Differential Equation
  • · Replies 12 ·
Replies
12
Views
3K