NOTES FOR ES.1803, Fall 2016 1 Introduction to differential equations Jeremy Orloff
... Notice that if β > δ then the population is increasing. Of course, this DE is our most important DE (1): the equation of exponential growth or decay. We know the solution is P = P0 ekt . Note: If β and δ are more complicated and depend on t, say β = P + 2t and δ = P/t. The derivation of the DE is th ...
... Notice that if β > δ then the population is increasing. Of course, this DE is our most important DE (1): the equation of exponential growth or decay. We know the solution is P = P0 ekt . Note: If β and δ are more complicated and depend on t, say β = P + 2t and δ = P/t. The derivation of the DE is th ...
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... of the first array, taken 2 by 2, i.e. the first element of the second array is the first element of the first array multiplied by the second element of the first array, the second element of the second array is the second element of the first array multiplied with the third element of the first arr ...
... of the first array, taken 2 by 2, i.e. the first element of the second array is the first element of the first array multiplied by the second element of the first array, the second element of the second array is the second element of the first array multiplied with the third element of the first arr ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.