personal income that is used to pay pers given by y = 0.034x2 – 0.044x + 12.64 where x is the number of years past 1990 (Sc of Economic Analysis, U.S. Department of (a) Verify that x = 7 is a solution of 14 0.044x + 12.642. (b) Find the year or years when the percen

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A:

Q: 3. Solve y" + 2y + y = U(t-1) + 6(t-2), y(0) = 0, y'(0) = -1.

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A: Given differential equation y' -2y=y2

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A:

Q: 3.Max Z = x1 + 6x2 Subject to: 17x4 + 8x2 s 136 3x, + 4x2 s 36 X1, x2 2 0 and integer Find the…

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A: Follow the steps below.

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Q: 4. When the linear equation has no solution.

A: We have to say that when the linear equation has no solution.

Q: Approximate the solution of

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Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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A: Given differential equation can be reduced in linear differential equation

Q: 2x2y'' + 3xy' - y = 0 , x>0   y1(x)= x1/2 and y2(x)=x-1 Please verify that I have solution.

A: Differential equation.

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Q: 5 x-value of solution:. 4 y-value of solution: . Solution (ordered pair): 2 3 4,

A: We can find the answers as below

Q: у"-2у'-Зуже2х Solution by D- operator method

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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.