- #1
e^(i Pi)+1=0
- 246
- 1
Homework Statement
(3x^2y+2xy+y^3)dx+(x^2+y^2)dy=0
Find the integrating factor u(x) for this exact differential equation
- Thread starter e^(i Pi)+1=0
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SUMMARY
The discussion focuses on finding the integrating factor u(x) for the exact differential equation represented by (3x^2y + 2xy + y^3)dx + (x^2 + y^2)dy = 0. A participant acknowledges an error in calculating the partial derivative of the function m, which is critical for determining the integrating factor. Correctly identifying the integrating factor is essential for solving the differential equation effectively.
PREREQUISITES- Understanding of exact differential equations
- Knowledge of partial derivatives
- Familiarity with integrating factors
- Basic calculus concepts
- Study the method for finding integrating factors in exact differential equations
- Review techniques for calculating partial derivatives
- Explore examples of solving exact differential equations
- Learn about the implications of integrating factors in differential equations
Students studying differential equations, mathematics educators, and anyone looking to deepen their understanding of exact differential equations and integrating factors.
(3x^2y+2xy+y^3)dx+(x^2+y^2)dy=0
- #2
e^(i Pi)+1=0
- 246
- 1
Never mind, I made a really dumb mistake with the partial derivative of m.
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