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Problem 2. To prepare for summer, Diffy E. Kew is trying out a new lemonade recipe. Through rigorous testing, Diffy observed that the rate at which an ice cube melts in the lemonade is proportional to its volume. As a final test, Diffy placed an ice cube with side length 1 cm into a glass of lemonade and eagerly observed what happened. a. Let V(t) be the volume of the ice cube at time t. Write down an initial value problem for V(t) and label any unknowns. b. Solve your initial value problem. c. After exactly 1 minute, the ice cube is half of its initial volume. Find any unknowns in your solution.

Problem 2. To prepare for summer, Diffy E. Kew is trying out a new lemonade recipe. Through rigorous testing, Diffy observed that the rate at which an ice cube melts in the lemonade is proportional to its volume. As a final test, Diffy placed an ice cube with side length 1 cm into a glass of lemonade and eagerly observed what happened. a. Let V(t) be the volume of the ice cube at time t. Write down an initial value problem for V(t) and label any unknowns. b. Solve your initial value problem. c. After exactly 1 minute, the ice cube is half of its initial volume. Find any unknowns in your solution.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Differential equations change of variable

Problem 2. To prepare for summer, Diffy E. Kew is trying out a new lemonade recipe. Through rigorous testing, Diffy observed that the rate at which an ice cube melts in the lemonade is proportional to its volume. As a final test, Diffy placed an ice cube with side length 1 cm into a glass of lemonade and eagerly observed what happened. a. Let V(t) be the volume of the ice cube at time t. Write down an initial value problem for V(t) and label any unknowns. b. Solve your initial value problem. c. After exactly 1 minute, the ice cube is half of its initial volume. Find any unknowns in your solution.
Transcribed Image Text:Problem 2. To prepare for summer, Diffy E. Kew is trying out a new lemonade recipe. Through rigorous testing, Diffy observed that the rate at which an ice cube melts in the lemonade is proportional to its volume. As a final test, Diffy placed an ice cube with side length 1 cm into a glass of lemonade and eagerly observed what happened. a. Let V(t) be the volume of the ice cube at time t. Write down an initial value problem for V(t) and label any unknowns. b. Solve your initial value problem. c. After exactly 1 minute, the ice cube is half of its initial volume. Find any unknowns in your solution.
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