A differential equation that represents the rate of change of the Earth's temperature over time is given by the equation dT/day = 0.0004Y + 0.0048, where Y is years since 1950, and T is temperature in degrees Celsius. A. Given that T(0) = 13.7, determine the function T(Y) using antiderivatives. B. Use the solution from your antiderivative to evaluate T(70) - T(0). What does the number mean in context to the problem?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.