Solve (numerically) the boundary-value problem with 4, 8, and 16 sub-intervals: y" − 4y = −4x y(0) = 0, y(1) = 1; y(x) = x Note that the equation has the form: y" − q(x) y = f(x).

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: 2.) Solve the following equatior

A: Solve the following equation23(x-4)=14(x+1)x=?

Q: Find y" Зх +2 y = 2х- 3

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Q: If i*** =i, where i = -1, then which of the following is a solution for x?

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Q: x' +4x? + x - 6 f(x) =マ+x-4x -4 %3D X' + X 4х

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Q: determine the,unknown function and the independent variable in each of the following differentail…

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Q: . Solve for x: V3x – 20 = x - 6

A: Any equation of form ax2+bx+c=0ax2+bx+c=0 is a quadratic equation as the highest exponent of a…

Q: Consider the equation (34)x = (3y)s where x and y are unknown. The number of possible solutions is

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Q: Solve the following B.V.P. utt %3D с 2ихx; { и(х, 0) 3D сos x - и (0) %3 0, и (2л) - 00<x<20 1, ut…

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Q: # Solve the following lvP x² = -22x+10y y = -50x+zzy y (0) = 3 x(0)=1 Then find 5) y(0.5) to at…

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Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: Solve for x: 4x - 4xy +1-y = 0

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Q: 3.Eliminate the arbitrary constant on the given equation: asiny - xy-3 = C 4. Eliminate the…

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Q: stimate solutions of the following equation using a Graphical Estimation method. (You need to show…

A: Graphical estimated method a) Assume be equal to the expressions which is both sides of the equal…

Q: Estimate solutions of the following equation using a Graphical Estimation method. (You need to show…

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Q: Use the method of separation of variables to solve : xyu̟ +2u, = 0, Q.4 U(x,0) = 3x*.

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Q: Let f(x)=x*-2x. Use cubic Lagrange Interpolation based on the nodes Xo =-1,X1=0,x2= 3,X3=4 to…

A: Given, fx=x4-2x3 x0=-1, x1=0, x2=3, x3=4 To approximate the value of f3.5.

Q: Find a real root of the equation x³ – 2x – 5 = 0 correct to six significant digits and then…

A: Absolute error: Subtract the approximated from real value, gives us absolute error. Relative error:…

Q: 2. Find the exact value of x for the following equations. (a) 5- In(2 – x) = 0 . (b) 16***-8"-³=0 .

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Q: 7. Write the equation of the line in slope-intercept form that is parallel to y = 3x-4 and through…

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Q: Consider the following problem; max F(x1 ,X2) = x,x3 subject to 6x + 3x3 = 72

A: Solution is given below:

Q: of “a” if (x2/3)(x1/4) = xa

A: The function is given as x23x14=xa. Simplify the expression to find the value of a. x23x14=xa Apply…

Q: The procedure to find the stationary points of a particular function f(x, y) leads to the eq 3x²…

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Q: The chamber of commerce for a summer resort is trying to determine how many tourists will be…

A: The linear model to estimate the number of tourists is given asp=276,000+7500∗tHere,  p = the number…