We would like to solve the following boundary value problem using the weighted residual method: d'u -u = 0 0

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A: Given differential equation isdydx=y(x+1)x3+x2-2xy(1.1)=0.5h=0.1The solution of the differential…

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A: Let, y1,y2,...yn be random sample from the exponential pdf with unknown parameter λ. Now, to find…

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Q: 3. (a) Determine S 2xe3*dx by using integration by parts.

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Q: 1. Evalute the improper integral 3x dx. 1+ x2 -1

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Q: 1. Evalute the improper integral 3x 1+2 dx.

A: Suppose, we have the integral, ∫a∞f(x) dx, such that f is integrable on [a, t], t>a. Then,…

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A: Part (1): (a)The trapezoidal rule stats that:

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A: The detailed solution is given below Thank you

Q: Consider the initial-value problem y' + exy = f(x), y(0) = 1. Express the solution of the IVP for…

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Q: We would like to solve the following boundary value problem using the weighted residual method: d'u…

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Q: 1 V5x + 4

A: We have  ∫1x dx=2x.

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Q: 6. The improper integral 1 dx converges to Vx-5 4 2 попе 1

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A: In this question, we solve the differential equation using initial conditions.

Q: Approximate the solution of dy y(x + 1) dx x3 + x2 – 2x at x = 2 for the initial value problem…

A: Given the differential equation dydx=yx+1x3+x2-2x, y1.1=0.5. The step size is h=0.1. Let…

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Q: Use Finite-Difference method to approximate the solution of the BVP boundary value problem y" – 3y'…

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Q: We would like to solve the following boundary value problem using the weighted residual method: d'u…

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Q: Use Euler's method to calculate the first three approximations to the given initial value problem…

A: Given that        y' = 4xex^4 , y(1)=3 , dx = 0.1 By using Euler's method we have to calculate the…

Q: Compute y = S V1 -x dx using Monte Carlo Method. The integral is approximately 1.5708

A: Given that y=∫-111-x2dx By using the monte carlo method, Take x=sinu→u=sin-1x, dx=cosudu Then the…

Q: 1. Evaluate S(x + y)dxdy by reversing the order of integration.

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Q: Approximate the solution of y(x + 1) dy dx x3 + x2 – 2x %3! at x = 2 for the initial value problem…

A: Given y'=yx+1x3+x2-2x, y1.1=0.5 Thus, x0=1.1, y0=0.5 We have to find y2 for h=0.1

Q: If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?

A: we have given that  degree of freedom ( df )= 2  level of significance (alpha)=0.05

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Q: per integral test, (-1)" A) Σ B) none of these en (-1)" dz behaves like

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Q: Use Euler's Method to approximate the solution of the initial value problem.  dy/dt=t-y…

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Q: 13 By direct partial integration, Solve the following PDES s. 8²u ахбу = CEX COSysXu(X,t) Ex UCH, y)…

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Q: Find the solution of the given initial value problem using Method of Variation Parameters: y'' + y…

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Q: Find the serial solution of y''+xy'+y=0 ; y(0)=0, y'(0)=0 initial value problem adjacent to the…

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Q: Find a general solution of each reducible second-order differ- ential equation y" = (x + y')²

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Q: Use substitution and partial fractions to find the indefinite integral.

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Q: 3 Find absolute extrema for fCx) = x°-9x´+15x -3 %3D in terval [o,3] Oへ

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Q: 2. a) Evalute the following improper integrals dx Vx – 3

A: We will solve the problem.

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Q: 1. What should be A for the path independent of (2,4) xy + A dx + 2Ay – x y? fip- (1,2) Moreover…

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