Using the Ritz method to find an approximate solution with degree 2 polynomial for the nonlinear problem. After you have previously put the equation in the variational form. y" =y² 2 with boundary conditions : y(0) = 0, y(1)=1

Q: Exercises 3-12: For the given differential equation, (a) Determine the roots of the characteristic…

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Q: FLUENCY 1. Which of the following is a quadratic function? (1) y= 3x-2 (3) y=x -4 (2) y = x' +2x -1…

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Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

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Q: Find an equation of the tangent line to the function y 3x² at the point P(1, 3). Solution We will be…

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Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

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Q: QUESTION 4 You are computing a root of f(x) = cos(x) -x in the interval [0,2] using the bisection…

A: Given information Function :-  fx = cosx -x Interval :- x∈0, 2 The result is accurate to within 5…

Q: Consider a pizzeria that sell pizzas for a revenue of R(x) = ax and total cost of C'(x) = b + cx +…

A: Given R(x)=ax ,C(x)=b+c x+d x2 a. profit P(x)=R(x)-C(x)                   =ax-b-cx-dx2 b. P'(x)=…

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A: Let point on the curve y=x is (x,x). Then the distance between the points (x,x) and (5,0) is…

Q: i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2.' b. Give…

A: The critical point on a function is the point on the function where it is no longer differentiable.…

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: 10. f(x) = -x + 5x - Up or Down AOS: x= V( Min or Max Find the zeros off (x) = -x² + 5x -using any…

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Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

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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.