f(x) is a linear function, f(−5)=−2, and f(1)=4, find an equation for f(x) f(x) =

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A: Givendemand function p = 144-x2supply function P = 48+12x2

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Q: y = C,e¬x + C2e¯-2x + x y = C, + C2e³x

A: See the details solution in below

Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

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A: We need to find solution of differential equation.

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Q: find the general equation of : x^3dy+xydx=x^2dy+2ydx  ;y=e when x=2

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

A: Consider the given equation as Hz=-4z+3

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Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

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Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: Are the functions y1 = xe*and y2 = e*linearly independent?

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Q: Find the solution for: y' – x e = 0 using separation of variables.

A: Solution of differential equation

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Q: Find that solution of y’= 2(2x-y) which passes through the point (0,1). Use Linear Equation of Order…

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

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Q: Find the particular solution determined by the initial condition. f'(x) = rx) = 2x2/5 - 3x, f(1) =…

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Q: Find the initial value of the relation y = 3(x+3)² + 7

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Q: Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1

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Q: For Exercise, determine the number of solutions to the system of equations. y = 2*+1 -1 + log2 y = x

A: Let us rewrite the second equation

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Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

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A: The given function is

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Q: Given a total-revenue function R(x) = 700VX-0.2x and a total-cost function %3D 3 C(x) = 1600 (x2 +…

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Q: Find the general solution of y" = 6y' – 9y where y is a function of x.

A: Given differential equation, y''=6y'-9y Find the general solution of the differential equation.

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Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

A:

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: Consider the following system of equations in R²→R? y + 2xỉ + x3 - yıY2 = 15 2y + xỉ + x + YıY2 = 38…

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Q: . A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank…

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Q: Differentiate the following linear and non-linear equations, and give a reason that why its linear…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Use variation of parameters to find a particular solution of y'' - Y = 4e-x 1-e-2x Yp (x) =

A: Solution of the differential equation, By using the method of Variation of perameters

Q: Use variation of parameters to find the general solution of y" – 2y' + 5y = e'.

A:

Q: Solve for the derivatives. For 16-20. y = -7x5 + 3x3 – 2x а. 35x4 — 9х2 + 2 b. 35х* + 9х3 + 2 с.…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0