The rate of increase of the temperature of water being heated in a kettle at any time t is mod the differential equation: de = 1 (120-0), dt 0<100° where A is a positive constant and 0 is the temperature of the water Given that 0= 20° when t=0, show that 0=120-100e by using separable variable method. t3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The rate of increase of the temperature of water being heated in a kettle at any timet is modelled by
the differential equation:
do
= 1 (120–0), 0s100°
dt
where A is a positive constant and 0 is the temperature of the water Given that 0= 20° when t=0,
show that 0 =120-100e by using separable variable method.
Transcribed Image Text:The rate of increase of the temperature of water being heated in a kettle at any timet is modelled by the differential equation: do = 1 (120–0), 0s100° dt where A is a positive constant and 0 is the temperature of the water Given that 0= 20° when t=0, show that 0 =120-100e by using separable variable method.
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