About This Chapter
How it works:
- Identify which concepts are covered on your differential equations homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your differential equations homework with ease!
Topics from your homework you'll be able to complete:
- Differential notation and ubiquity in physics
- Separation of variables
- Rate and exponential growth calculations
- Related rates problems and solutions
1. Differential Notation in Physics
Stop. Look around. Everything is changing. In this lesson, you'll learn what a differential equation is and how these equations can describe the world around you.
2. Separation of Variables to Solve System Differential Equations
In this lesson, we discuss how to solve some types of differential equations using the separation of variables technique. We'll ponder the dastardly deeds of a mad scientist, using his chemical concoction as an example for how to use separation of variables.
3. Calculating Rate and Exponential Growth: The Population Dynamics Problem
You know how the world population keeps increasing? It's increasing faster now than it was 100 or 1,000 years ago. In this lesson, learn how differential equations predict this type of exponential growth.
4. Related Rates: The Draining Tank Problem
Grab an empty cup and pour some water into it. In this lesson we will watch how the height of the water changes as we learn about related rates of change and learn how to solve the draining tank problem.
5. Related Rates: The Distance Between Moving Points Problem
Remember the classic problem of math horror stories everywhere? You know, where one train leaves Kentucky at 2 p.m. and another leaves Sacramento at 4 p. m.? In this lesson, tame the horror and learn how to solve these problems using differentiation and related rates.
6. Gottfried Leibniz: Biography & Contributions to Math
In this lesson, we will explore the life and work of German mathematician and philosopher, Gottfried Wilhelm von Leibniz. In particular, we'll identify his major contributions to the field of mathematics, published books and technological accomplishments.
7. Solving Systems of Linear Differential Equations by Elimination
Solving linear differential equations may seem tough, but there's a tried and tested way to do it! We'll explore solving such equations and how this relates to the technique of elimination from algebra. We will also solve a population growth system problem using what we've learned.
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Other chapters within the Calculus: Homework Help Resource course
- Graphing and Functions: Homework Help
- Continuity: Homework Help
- Geometry and Trigonometry in Calculus: Homework Help
- Using Scientific Calculators in Calculus: Homework Help
- Limits: Homework Help
- Rate of Change: Homework Help
- Calculating Derivatives and Derivative Rules: Homework Help
- Graphing Derivatives and L'Hopital's Rule: Homework Help
- Applications of Derivatives: Homework Help
- Area Under the Curve and Integrals: Homework Help
- Integration and Integration Techniques: Homework Help
- Integration Applications: Homework Help