Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in your indicated format. Find the general solution of the following homogenous linear equations: 7. (Dª – 81) y = 0 8. (D$ + 9D³) y = 0

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in…

A: Here we use the technique of Auxillary equation .

Q: 1. Solve the following sir y = 2x - 3 =) { / 4x - 3y = 7

A: Here we have to solve the equations.

Q: 7x + b = ax - 6 a = -6 a = 7 a = 1

A: Please refer to the image below

Q: Consider the following linear equations: 7x + 6y + 5z = −7 7x +(18-k)y + 4z = -5 7x + 6y + (9- k)z…

A: Let's solve given linear equations for no solution and infinite number of solution.

Q: x' = -3x + 2y, y' = -3x + 4y; x (0) = 0, y(0) = 2 %3D %3D

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Q: Write an equation in the form Ax + By = C, given that m=3/4 and y-intercept is (0,-4), where A, B…

A: First we will substitute the value of slope m= 3/4 and y-intercept b=-1 in slope-intercept form y=…

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in…

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Q: he pre-image in red has been transformed to the imag a)

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Q: Write the following equation in standard form and determine each components. You will also need to…

A: Given: Equation: 3x7-2x2-x+5y-15=0We need to write the given equation in standard form and determine…

Q: Solve the following equations by graphing: 2x – y = 4 x+y=5 (1, 0) y O A. (2, 2)

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Q: Translate the given statement into one or more linear equations in the form ax + by = c using the…

A: Given: A statement "There are twice as many soccer fans(x) as football fans(y)". An example of a…

Q: Eliminate all the arbitrary constants in the equation y = Ae2x + Be-6x + Ce4x

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Q: Find the x- and y- intercepts from the equation of the line x – 2y = 6. x-intercept (x, y) =…

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Q: What are these equations in standard form? :  y = 0.25x + 45 y = 0.30x + 35 3x +y = 38 y = -3x +…

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