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mediumdy/dx Differential Equations·20 pts·0 solved

Newton's Law of Cooling

Problem Statement

A cup of coffee cools according to dTdt=−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).

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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".