#16 Find the stability of the equilibrium value(s) from Problem #5. Graph the equilibrium (as a dashed line y = x₂)together with the sequences you computed.a) x₁ = 0.4xn-1 +3Math 1085 WS11b) x 1.5xn-1-2c) x₁=X²-1-2x₁-15

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Answered: #6 Find the stability of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q4 (1) A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand, where P(t) =7+ 1)2: What happens to production in the long run ? 6t2 + 5t (ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture. Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0), but for x > 0,it is found that 0.5(x² + 3x) x³ + x2 + 4x . Assuming the oil slick is continuously distributed, how y =; thick would you expect it to be at the source?

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#6 Find the stability of the equilibrium value(s) from Problem #5. Graph the equilibrium (as a dashed line y = x₂) together with the sequences you computed. a) x₂ = 0.4x-1+3 Math 1085 WS11 b)x= 1.5x-1-2 c) x₁=x²-1-2x-1 5