A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential equation for the volume of the raindrop as a function of time. NOTE: Use V for the volume of the raindrop, t for time, and k for a positive constant of proportionality. dV dt
A spherical raindrop evaporates at a rate proportional to its surface area. Write a differential equation for the volume of the raindrop as a function of time. NOTE: Use V for the volume of the raindrop, t for time, and k for a positive constant of proportionality. dV dt
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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![A spherical raindrop evaporates at a rate proportional to its surface
area. Write a differential equation for the volume of the raindrop as a
function of time.
NOTE: Use V for the volume of the raindrop, t for time, and k for a positive constant
of proportionality.
dV
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb476ca3a-bec3-4bc4-acff-8c911c264bf2%2F718fc311-06f7-49a7-b6d3-a2e9c13fff1a%2F2lzrwti_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A spherical raindrop evaporates at a rate proportional to its surface
area. Write a differential equation for the volume of the raindrop as a
function of time.
NOTE: Use V for the volume of the raindrop, t for time, and k for a positive constant
of proportionality.
dV
dt
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![Your answer is incorrect.
A spherical raindrop evaporates at a rate proportional to its surface
area. Write a differential equation for the volume of the raindrop as a
function of time.
NOTE: Use V for the volume of the raindrop, t for time, and k for a positive constant
of proportionality.
dV
dt
-KV
X](https://content.bartleby.com/qna-images/question/b476ca3a-bec3-4bc4-acff-8c911c264bf2/7569f1af-04de-4f56-861c-f51173403d75/wh5dc7o_thumbnail.jpeg)
Transcribed Image Text:Your answer is incorrect.
A spherical raindrop evaporates at a rate proportional to its surface
area. Write a differential equation for the volume of the raindrop as a
function of time.
NOTE: Use V for the volume of the raindrop, t for time, and k for a positive constant
of proportionality.
dV
dt
-KV
X
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