A model for the yield of an agricultural crop as a function of the nitrogen level N and phosphorus level P in the soil is Y (N, P) = kN P e-N-P where k is a positive constant. What levels of nitrogen and phosphorus results in the best yield

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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.