Calculus, Mathematics

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System of first order equations, Consider the Van der Pol oscillator x′′...

Consider the Van der Pol oscillator x′′- µ(1 - x 2 )x′ + x = 0 (a) Write this equation as a system of first order equations (b) Taking µ = 2, use MatLab's routine ode45 to

Quanitive thinking for decision making, two Indiana state senate candidates...

two Indiana state senate candidates must decide which city to visit the day before the november election. The same four cities are available for both candidates. These cities are l

Abstract Algebra, let R be a (noncommutative) ring. Given that a,b and a+b ...

let R be a (noncommutative) ring. Given that a,b and a+b ? R are all units, prove that a^(-1)+b^(-1) is a unit

Example on eulers method, For the initial value problem y' + 2y = 2 - e ...

For the initial value problem y' + 2y = 2 - e -4t , y(0) = 1 By using Euler's Method along with a step size of h = 0.1 to get approximate values of the solution at t = 0.1, 0

General rule - probability rule, GENERAL RULE A general rule is to sub...

GENERAL RULE A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or th

Marginal probability, Marginal Probability Probability of event A happe...

Marginal Probability Probability of event A happening, denoted by P(A), is called single probability, marginal or unconditional probability. Marginal or Uncondi

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