Use the master method to solve T(n) = 4T(n/2) + n/(lgn)

Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: Use Newton’s method to find an approximate solution of 3 - x = ln x. Start with x0 = 2 and find x2.

A: Given: 3 - x = ln x That is  f(x)=3 - x - ln x Initial value x0 = 2.

Q: dx 3.

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Q: Solve the Differential Equation (D² + a²)y = Tanax by the method of Variation of Parameters.

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (y + 4x)² %3D

A: 2 Given differential equation is y'=y+4x2......1. We have to find the general solution of the given…

Q: The 2nd approximation to the real root of the equation e - 4x = 0 with initial guess xo = 0.3 using…

A: Newton Raphson method is the process of obtaining the roots of a function by repeated iterations of…

Q: Explain why Newton’s method doesn’t work for finding the  root of the equation x3 - 3x + 6 = 0 if…

A: Given: The equation x3-3x+6=0, To determine: The reason why Newton's method doesn't work for finding…

Q: Solve using Jacobi’s Iterative Method

A: Given system is 56-3-2952-7-3412-1-743 x1x2x3x4 = -109-28

Q: / (6x" – 7Va+ 19x- 8 -- + Evaluate + 14e0* + V11 dx. (You don't have to show the work.)

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Q: 4. Find the positive root of the equation correct to 3 decimal places, using Newton-Raphson method…

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Q: Calculate the real root of f(x)=x^3-2x^2-2x-1.9 with the first iteration of Newton-Raphson method.…

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Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Solve using linearization using one digit approximation only 1) f(x) = V5

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Q: 2. Find an estimate of the root of the equation: 2* + vx² +5=20 using regula-falsi method. Ans x:

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Q: dx Solve the differontial equation using the power seres method.

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Q: Use a fixed-point iteration method to determine a solution accu- rate to within 10-3 for the…

A: Let f(x)=x3-x-1Here x3-x-1=0∴x3-x=1∴x(x2-1)=1∴x=1(x2-1)∴ϕ(x)=1(x2-1)Here f(1)=-1<0 and…

Q: Use Newton’s method to estimate the solution of the equation x2 +x−1 = 0. Start with x0 = 1 as…

A: Let, f(x)=x2 +x−1  Then find f'(x) using power rule.

Q: Solve cot x-v3 =0 over [0,2t)

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Q: Solve the differential equaton 2x2dy=(x+y)2dx

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Q: f (x) = y = x³ +x– 10 = 0

A: Using Newton raphson method.

Q: Solve one real root of e* – 2x – 5 = 0 with xo = -2 using the Fixed-Point Iteration Method |…

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

Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution.…

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Q: 16. х" — 7x'— 51 — 3.

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Q: Q/1 Find the root of eq:- (X-1) = X+8 by N-R method correct to 2D. Use X0-4 Q2/ Find the square root…

A: Newton Raphson Method :  Suppose we need to solve the equation f(x)=0 and x=c is the actual root…

Q: Q2/ Solve the differential equation by using the appropriate method y' = (x + y - 5)2 %3D

A: The solution of an ordinary differential in the form of can be found by the technique of separation…

Q: 3. Solve xex- 3 = 0, correct to three decimal places by using the Newton- Raphson method.

A: Here, fx=xex-3⇒f'x=xex+ex f1=1*e1-3=-0.2817<0 f2=2*e2-3=11.778>0 Thus root lies between 1 and…

Q: the Kollowing Integrails Solve 30 tan va

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Q: What do you mean  by Stirling's Approximation ?

A: Query- What do you mean  by Stirling's Approximation ? Answer-  Stirling's approximation. Stirling's…

Q: 12 2. X' = 4 %3D

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Q: Solve the Differential Equation by Variable -2y separable method : 11x³ dy 10y3

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Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: use newtons method with an initial guess solution of 1 to find the next approximate solution to the…

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Q: Explain why Newton’s method doesn’t work for finding the root of the equation x 3  - 3x +6 = 0 if…

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Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…

Q: Suppose you use newtons method with x1=2 to estimate a solution to x3=2x+1. What is x3?

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Q: Find a successive approximation of the square root of 2 as a ratio of two integers by using the…

A: To find a successive approximation of the square of 2, take the function fx=x2-2. To find the roots…

Q: 3 + v 2 3tV di

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Q: 25: Find the root of the equation f(x) = x3 – 4x + 1 giving the answer to s decimal places, by using…

A: Given: f(x)=x3-4x+1

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

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Q: Q2) Solve the differential equation by the method of integrating factors: А)у' — ху — х, у(0) — 3

A: Calculate the integrating factor and than use the standard form of solution.

Q: 1) Use the bisection method to numerically solve the nonlinear equation f(x) = 40x15 – 875x +35000 =…

A: we have f(x)=40x1.5-875x+35000=0 for the interval50,100 By using bisection method…

Q: Solve xVx + 6 dx using two different integration techniques, and when you're done, factor them both…

A: To find  → ∫xx+6  dxSolution→  method-I  : Apply by-parts  ∫u v = u∫υ dx -∫dudx∫vdxdx.…

Q: Q3// Use Newton-Raphson Method to solve f = -x²+x+0.75 for 5 iteration (choose 4-decimal places)…

A: The given function is f=-x2+x+0.75, x0=1.2. We have to solve the question with Newton-Raphson…

Q: Solve the differential equation by variation of parameters 16x у" - 16у y(x) =

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Q: Solve one real root of e* – 2x – 5 = 0 with xo = -2 using the Fixed-Point Iteration Method until…

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Q: Use Newton's method to estimate the one real solution of x° + 3x + 1 = 0. Start with x, = 0 and then…

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Q: 1 To solve f(x) = x -b = 0, what iteration comes from Newton's method?

A: Newton Rapson method

Q: 4. Solve for general solution using Exact method. Show test for exactness x²y dx + (1+ x³)dy = 0

A: Given differential equation is not exact, we need to multiply something to become exact as follows.

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.