SUMMARY
The discussion centers on solving the differential equation y' = 6x(x²+2)² with the initial condition y = 25 when x = 1, to find the value of y when x = -1. The user initially calculated y as -83 but received an incorrect answer from WileyPlus. The error was identified as a mistake in integration and the omission of the constant of integration, C. The correct approach involves integrating the function properly and including the constant to accurately determine y.
PREREQUISITES
- Understanding of differential equations and integration techniques
- Familiarity with the power rule and chain rule in calculus
- Knowledge of initial value problems and constants of integration
- Experience with using online homework systems like WileyPlus
NEXT STEPS
- Review integration techniques for polynomial functions
- Study the concept of constants of integration in differential equations
- Practice solving initial value problems in calculus
- Learn how to verify solutions using derivative calculations
USEFUL FOR
Students studying calculus, particularly those focusing on differential equations and integration, as well as educators looking for examples of common mistakes in solving initial value problems.