Q2 : Use Bisection method to solve F(x) = 668.06 -0.146843% (1- e )- 40 %3D with Xu= 16 and x2 = 12 until the approximate errr falls below %3D a stopping criterion of E, = 0.5 %

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Q: Q1: Find y(0.5) for y'--2r-y, y(0) = -1, with step length (h= 0.1) using Euler method.

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Q: Given that y' = 2x + x²y, where y(0) = -1 with step size h=0.1. Estimate the values of y(0.2) using…

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Q: Q2: Use Bisection method to solve -0.146843% f(x) = 668.06 (1 - e )- 40 with Xu =16 %3D and x2 = 12]…

A: The objective is to solve the equation fx=668.06x1-e-0.146843x-40 By Bisection method with xu=16 and…

Q: At which iteration shows that the root of a nonlinear equation is Xr = 1.2017 when a = 2 and b = -1…

A: f(x) = 3x^3-5.12x^2+3.4x-1.9 we have a=2, b=-1 then f(a)f(b)<0 so we have root between -1 and 2

Q: 1) Approximate the value of y for 0sxs1.5 using the Euler method if the step length is h=0.5.

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Q: Q3: Find solution of following initial value problem using Euler method f(x,y) = x-2y + 3, y(0. 1) =…

A: As you didn't provide h, we take h=0.1

Q: Consider the IVP: x" + 4tx = 0, x(0) : - 1, x'(0) - 3 Using the Euler method with a time step of At…

A: Given, x''+4tx=0, x0=-1, x'0=-3, ∆t=0.5 Now, by Euler's method xn+1=xn+hpn=xn+∆tpnAnd,…

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Q: Q3\ Solve the problem minimize * J[y]= [[v +y"- 2y dx ,subject to the conditions y (0) =1 and y(1) =…

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Q: Find the 4th iteration value of an extremum (maximum/minimum value) of f(x) = 0.25sinh(2x) - bx² -…

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Q: Given that y' = 2x + x²y, where y(0) = -1 with step size h=0.1. Estimate the values of y(0.2) using…

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Q: (a) Starting from the initial trial solution (x1, x2) = (0, 0), apply the gradient search procedure…

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Q: Use Euler's method with step size 0.1 to estimate y(0.4), where y() is the solution of the problem ₁…

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Q: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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Q: Find the third iteration value of an extremum (maximum/minimum value) of z F2.png ... f(x) = In(ax +…

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Q: Solve using the bisection method f(x) = e-x* – 2x + 1 starting at the interval [0.75,1]

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Q: : Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: g(x,y)=y-x2=0 depending on the condition f(x,y) = x2+y2-6x+9   can you find with the lagrange method…

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Q: Find the third iteration value of an extremum (maximum/minimum value) of z F2.png ... f(x) = In(ax +…

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Q: 2. Estimate the solution of 3x = ex + 2 with po = 1, p1 = 1.8 using SECANT METHOD. Find 2 %3D…

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Q: Solve the initial value problem (0)%3D1 at x = 0 (0.4) 2 using fourth-order y Runge Kutta method. If…

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Q: Q3) Consider the DE y' = (6x + y+ 8)2, y(0) = 1 i) Solve it numerically using Euler's method (n=4)…

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