1. Given the following SIR diagram, where h are some costly self-protective activities that people can take to avoid contracting the disease. h(p,l,) = nl – apl, + C. C is a constant, p is the price of costly self-protective activities. Birth (81- h(p, h))S | Susceptible Infected Death

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

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Q: 2. Eliminate the arbitrary constant on the given equation: y = C₁e-²x + De4x

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Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

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A: Suppose the preferences of an individual are represented by a quasilinear utility function: U (x, y)…

Q: +] has the general solution u(x, y) = e"[f(x)+g(y)] where f and g g are arbitrary functions

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A: Note: - According to our guideline i didn't solved more than three subparts . So please again repost…

Q: 4. Find the solution for the following b. y' + 2y't y = cost y) = 1, y ²) = 2

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Q: 1. Eliminate the arbitrary constants on the given equation: y = C1 + C2e¯ -2x 2 Eliminato

A: Given

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A:

Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

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A: We solve only one problem at a time so please submit them one by one for fast and thorough answers.

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Q: Give a particular solution for y" – 2y' + y = 1+x2

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Q: 1. Eliminate the arbitrary constants in the equation given by: (x- a)(y – b) = 1 |

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A: Explained below

Q: ) Give a particular solution for y" – 2y' + y = 1+x² *

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Q: applications of differentiation/optimization problem - calculus

A: Keeping E and r fixed, we need to maximize the power given by the expression,

Q: 10. Find y' with the implicit function below. 3(x² + y²)² = 100(x² – y²)

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Q: 5- Find the particular solution for: 2e2x – y = xy', x = 1 when y = 6 %3D

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Q: The manager of Dixie Furniture Company estimates that the daily output of her factory (in thousands…

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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.