C. [10 marks] There are many applications of differential equations. An application would explain how we might apply a differential equation to a real-world problem. Search the internet for a YouTube video explaining an application of differential equations. The differential equation that is solved in the video should be either a first-order linear differential equation or a first-order separable differential equation. Submit: 1. The link to the video 2. A brief explanation of the application 3. One worked out example from the video, including the question and the solution.
Added by Kayla C.
Close
Step 1
Step 1: Search for a YouTube video explaining the application of differential equations. Show more…
Show all steps
Your feedback will help us improve your experience
Shannon K and 64 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Applications of differential equations and their solutions in other sciences investigate. Give a detailed explanation and give a numerical example. Write down the sources from which you best originated from the homework.
Nimat P.
Applications of Differential and Difference Equations. Applications of Differential and Difference Equations
Madhur L.
Applications of First Order Differential Equations 1. A small object is brought into a room. The room temperature is 20 degrees Centigrade. At t = 0, the temperature of the object is 10 degrees Centigrade. After t = 1 minute, the temperature of the object is 12 degrees. Let the temperature of the object after t minutes be denoted by y(t). Assume the temperature of the room does not change significantly. The temperature of the object changes according to the following law: The rate at which the temperature rises is proportional to the temperature difference between the object and the environment Write a differential equation that expresses how y(t) changes. Solve the differential equation for y(t). Determine all constants that appear in your solution.
Sri K.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD