Status: Tags: Links: Calculus Reminders and Common Mistakes - Integral Calculus Notes
Differential Equations
Reminders
- When supposed to square root/raise something to the power, just be lazy and apply it to the whole function
- Turn denominators of values with powers into numerator negative powers
- If you needed to solve for k, consider solving for y equation before importing k
Common Mistakes
- Skipping steps which leads to missed manipulations
- ex) Forgetting to apply a negative to the t value since I skipped to exponential/log
- Know how to properly apply u substitution
- $e^u$
- $(u)^\frac{5}{7}$
- rational expressions or trig functions, can’t remember LMAO
Procedures
Steps for finding values of constants m and b when y=mx + b is a solution to the differential equation:
- Isolate m by taking derivative of both sides
- Plug differential equation as dy/dx
- Replace y with y = mx + b
- Move m over, group terms, then solve for zeros
Practice
!5. Inverse and Diff Review(2021) 1.pdf
References: