Solution of two first order differential equation with one algebraic equation.

Click For Summary
SUMMARY

The discussion centers on solving two first-order differential equations alongside one algebraic equation. Ricky initially solved the differential equations but struggled to incorporate the algebraic equation into the solution. JJacquelin pointed out that the initial conditions must be consistent with the algebraic relationship, leading to the conclusion that the algebraic equation did not satisfy the initial conditions, indicating a potential error in the problem's formulation.

PREREQUISITES
  • Understanding of first-order differential equations
  • Knowledge of algebraic equations and their properties
  • Familiarity with initial conditions in differential equations
  • Basic problem formulation skills in mathematical contexts
NEXT STEPS
  • Research methods for solving systems of differential equations
  • Learn about consistency conditions for initial value problems
  • Explore techniques for integrating algebraic equations with differential equations
  • Study error analysis in mathematical problem formulation
USEFUL FOR

Mathematicians, engineering students, and anyone involved in solving differential equations and algebraic systems will benefit from this discussion.

rickyvery
Messages
2
Reaction score
0
Dear Friends

i am trying to solve two first order differential eqs. with one algebraic eq.

i am able to get solution of problem by simply solving two first order differential eqs. i do not know how to incorporate algebraic eq with my solution.

please see attachment

thanks in advance

Ricky
 

Attachments

Physics news on Phys.org
Hi !
did you check if the initial conditions are consistent with the algebric relationship ?
If not, there is a mistake in the wording of the problem.
 
JJacquelin said:
Hi !
did you check if the initial conditions are consistent with the algebric relationship ?
If not, there is a mistake in the wording of the problem.

Dear JJacquelin,

You are right. algebraic equation is not satisfying initial condition.

thanks for your reply.

Ricky
 

Similar threads

Undergrad Question about the general solution to Hooke's law
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Number of solutions to the order of the equation
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad How do I solve this first order second degree differential equation?
  • · Replies 7 ·
Replies
7
Views
4K
Undergrad How did the author transform the original equation into the Legendre equation?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Solving Differential Equation Using Reduction of Order
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Why Lagrange’s method of solving Pp + Qq=R works?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Second order ordinary differential equation to a system of first order
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Mixed approximation vs. full approximation for a power series expansion
  • · Replies 24 ·
Replies
24
Views
2K
Undergrad Fundamental matrix of a second order 2x2 system of ODEs
  • · Replies 2 ·
Replies
2
Views
4K
High School Real world applications of differential equations
  • · Replies 5 ·
Replies
5
Views
6K