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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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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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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