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Calculus
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Differential Equations
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Newton's Law of Cooling
medium
Difficulty: medium
dy/dx Differential Equations
·
20 pts
·
0 solved
Newton's Law of Cooling
Problem Statement
A cup of coffee cools according to
d
T
d
t
=
−
0.1
(
T
−
20
)
,
T
(
0
)
=
100.
Find
T
(
t
)
.
\text{A cup of coffee cools according to } \frac{dT}{dt} = -0.1(T-20), \ T(0)=100. \text{ Find } T(t).
A cup of coffee cools according to
d
t
d
T
=
−
0.1
(
T
−
20
)
,
T
(
0
)
=
100.
Find
T
(
t
)
.
Your Answer (variable: x)
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f(x)
Tips
Use standard math syntax:
^
for powers,
*
for multiplication.
Functions: sin, cos, tan, exp, log (natural log), sqrt.
Constants: pi, e.
For antiderivatives you can omit "+ C".
