Solve the Separable Differential Equation for u

Click For Summary
SUMMARY

The discussion focuses on solving the separable differential equation given by du/dt = e^(6u + 8t) with the initial condition u(0) = 13. Participants emphasize the importance of grouping variables, integrating both sides, and using the initial condition to find the constant C. The solution process involves applying techniques specific to separable differential equations, ensuring accurate input for online assignments like Webwork.

PREREQUISITES
  • Understanding of separable differential equations
  • Proficiency in integration techniques
  • Familiarity with initial value problems
  • Experience with online assignment platforms like Webwork
NEXT STEPS
  • Study the method of integrating separable differential equations
  • Learn how to apply initial conditions to solve for constants
  • Explore advanced techniques in differential equations
  • Review common pitfalls in online submission systems like Webwork
USEFUL FOR

Students studying differential equations, educators teaching calculus, and anyone involved in online mathematics assignments.

jwj11
Messages
37
Reaction score
0

Homework Statement



Solve the separable differential equation for u

du/dt = e^(6u + 8t)

Use the following initial condition: u(0) = 13.

Homework Equations



Techniques for solving separable differential equations.

1. Group variable and respective dy,dx,dz, etc. together
2. Integrate both sides
3. Solve for C using given data point
4. Solve for dependent variable

The Attempt at a Solution



http://img177.imageshack.us/img177/7321/differentialequation.jp
 
Last edited by a moderator:
Physics news on Phys.org
It isn't incorrect. What makes you think otherwise?
 
Hmm.. I guess I am inputting it wrong. This is part of a webwork assignment (an online submission assignment)
 

Similar threads

Solution of a parametric differential equation
  • · Replies 4 ·
Replies
4
Views
2K
Relationship between autonomous system and related single equation
  • · Replies 3 ·
Replies
3
Views
2K
Solve the system of differential equations
  • · Replies 10 ·
Replies
10
Views
2K
Verify Green's Formula for a Simple DE
  • · Replies 1 ·
Replies
1
Views
1K
Solve the given first order PDE
  • · Replies 5 ·
Replies
5
Views
2K
Homogeneous Differential Equation
  • · Replies 7 ·
Replies
7
Views
2K
Integral using substitution x = -u
  • · Replies 12 ·
Replies
12
Views
2K
Separable differential equation
  • · Replies 7 ·
Replies
7
Views
2K
Differential Equations, Separable, Explicit Solution
  • · Replies 7 ·
Replies
7
Views
2K
Solving Partial Differential Equation
  • · Replies 2 ·
Replies
2
Views
2K