(N.find f (2). For the function f (x) = Vr+3 Of (2) = (4V)* 3 %3D os (2) = 4 (V)' - 3) Of (x) = 4V- 3 Of (z) = V4 (x - 3)

Q: Find the solution of the DE using variation of Parameters y''' - 3y'' + 3y = (ex/x)

A: The given problem is to find the solution of differential equation using method of variation of…

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Q: Find the general solution of each ff Higher-order DE using Reduction of Order  1. (2D2 + 3D -2)y=0

A:

Q: Find the 2nd solution by reduction of order. y" - 4y + 4y=0; y₁ = e²x

A: Here given the differential equation as y''-4y'+4y=0 .......(1) And it's one solution is y1=e2x

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A:

Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

Q: Find the marginal profit function if cost and revenue are given by C(x)= 158 + 0.9x and R(x)= 6x…

A: We have to find the marginal profit if cost and revenue are given by C(x)=158+0.9x and…

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

A: ∂2U∂xdy+∂u∂x=0let U(H.Y)=e-yf(x)+g(y)

Q: Show that the function f(t) = 1² – } is a solution of the dif- ferential equation (y')² – 4y = 2.

A: Given:       f(t)=t2−12.Differential equation is: (y')2−4y=2

Q: Find the critical numbers of the function. y-4 g(v): y2 - 2y + 8

A:

Q: In(ax) f(x) has a stationary point at Find a and b. bx 2' 3e,

A:

Q: The y, of y'"-y=2x2-x -3 by using variation of parameters is: .A Y,(x)= x - 1 .B y,(x)=x² + x +1 .C…

A:

Q: Find the 2nd solution using reduction of order. t²y" - 4ty +6y=0;t> 0; y₁=t²

A:

Q: Find the general solution using variation of parameters. y" – 4y + 4y = (x + 1)e²"

A: Given differential equation is, y"-4y'+4y=x+1e2x The auxiliary equation is, m2-4m+4=0m-22=0m=2,2…

Q: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

A:

Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: Find the critical numbers of the function. y-4 g(v) = y2 - 2y + 8

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 294 + 0.4x and R(x) = 3x -…

A: Here C(x)=294+0.4x  and R(x)=3x-0.01x2We have to find the marginal profit function…

Q: The critical Points of f (x, y) = x³ – 3x + 3y² – 6y are:

A: The critical points of a function f(x, y) can be obtained by solving the partial derivatives ∂f∂x=0…

Q: Determine the value of the Wronskian W(y1, y2) of y" - 2y + 1 = e2*(x + 1) if x-0.2 by using…

A: Given, y''-2y'+1=e2xx+1. The objective of the problem is to obtain the value of the Wronskian if…

Q: A rocket travelling into orbit has a projectile given by the equation: f(x, y) = 3x3 + 2x² – 5x + 2…

A: As equation of projectile contain only x So y remain constant throughout the journey .Distance…

Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

Q: Use the variation of parameters to find the solution to the IVP. 0 1 et 1 X' (t) = x(t) + ,and X(0)…

A:

Q: Draw the particular solution for y= f (x) given the initial condition f (-1) = 0.5 x Clear Undo…

A: Given data is : f-1=0.5 To draw the particular solution for y=fx

Q: Find the minimum value(s) of the function f(x) = e* – 2x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the general solution using variation of parameters. - 4y + 4y = (x + 1)e²-

A: To solve the following problem

Q: The fuel-cost functions for the three thermal plants is $/h are given by C, = 400 + 5. 5P, + 0.006P…

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Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in…

Q: Determine the value of the Wronskian W (y1, Y2) of y" – 2y +1 = e2 (x +1) if x=1.3 by using…

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Q: -4x e Find a particular solution to y" + 8y' + 16y= x3

A:

Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

A:

Q: Use the IVT to show that e−x2 = x has a solution on (0, 1).

A: Given equation is

Q: What value of b >-1 maximizes f(b) = J - x) dx!

A:

Q: Find the critical point of the function f(x, y) = x² + y² + xy +7.5x C=

A: To find the critical point of the function fx, y=x2+y2+xy+7.5x.

Q: (b) Find the general solution of: əz = yx² - xy Əx Given z = y when x = 1, determine the particular…

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Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

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Q: Please

A:

Q: find the critical point and classify the function f(x,y) =xlny +x2 -4x-5y+8

A: Answer

Q: S1 xe [0,1] f(x) 0 x¢ [0, 1]

A: The given piecewise function can also be represented as, fx=10≤x≤10otherwise Solve for the mean as,…

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Q: Find the critical point(s) of the function f(x, y) = -2r³ – 4ry + 2x – 5y – 1 and classify them as…

A:

Q: 1. Find and classify the critical points of f (x, y) = 6xy – 4x³ – 3y?

A: Critical points of f will occur: fx and fy is o. Given equation is f(x,y) = 6xy-4x3-3y2…

Q: Given the profit function P(x) = 1.3x – 0.01x² – 30, find the value of x at the function's optimum…

A: The profit function is: P(x)=1.3x-0.01x2-30

Q: Find the linearization L(x) of y=e10xln(x) at a=1

A: y=e10xln(x)  The linearization L(x) of a function f(x) at x = a is, Now  Now differentiating given…

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: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

A:

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

A:

Q: OBTAIN THE GENERAL SOLUTION (x - 1) dx - (3x - 2y - 5) dy = 0

A:

Q: The critical point(s) of the function z= 2x²-4xy-2y²+3x-7y+6 is/are...

A: In this question, we need to find the critical points of the function z = 2x2-4xy-2y2+3x-7y+6.