Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5 and ake initial condition y(1.9) = 10

Q: dx xt x(1) = 2, solve for x(2) when h = 0.1 %| dt t²+2

A: As per the question we have to solve the following first order differential equation : dy/dx =…

Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: 1 / / / / 1^^ 1 / // | \₁ 1/ // ||^~ /////|55 // / //\ Euler's Method / / / / / AS |/ // // | \\…

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Q: dx 4-t x(0) = 1, solve for x(0.5) when h = 0.05 %3D dt t+x

A: As per the question we have to solve the following first order differential equation : dy/dx =…

Q: What is the general form of a particular solution that should be used when using the method of…

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Q: 11.2) SOLVE : 5x²y" + x (1+x) y ² - y = 6 by Frobenius Method

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Q: 6z dy (78)a

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Q: Find a real general solution x2y"+0.7xy′−0.1y=0

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Q: Find the root of the equation x3-2x-5= 0 by muller's method take 1,2 and 3 as initial approximation…

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Q: dx 1. dt xt x(0) = 1, solve for x(0.3) when h = 0.1 I| -

A: Given function is, dxdt=-12xt,   x(0)=1, h=0.1 and we need to solve, x(0.3)   Here we have, (t0,…

Q: Q3: Use type 5 to solve the n (D² +9)y = Sec3x

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Q: Solve for the general solution (D4 – 16)y = x* + x + 1

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Q: dx 2. dt x(0.5) = 1, solve for x(1) when h = 0.1 2(t+1)

A: It is given that, dxdt=x2(t+1),    x(0.5)=1, h=0.1 and we have to find x(1)   Here interval is 0.1,…

Q: Why did we plug in x = 1/2 at the last part of the solution for the second problem

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Q: Solve x-x – 0.12 = 0 by starting from X0 = 1.

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Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

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Q: of the form ₁ = x²(1+₁x + ₂x² + 3x³ + ...) Enter C1 = Find the solution of 4x²y" + 6x²y + y = 0, x>0…

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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: OFind a root of an equation f(x)=2x-2x-5 using Newtor aphson Method

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Q: Determine the solutions of: y^n  + 4y  = 0 y(-π) = y(π), y´(-π) = y´(π)

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Q: Q4) Use the Newton- Raphson method, with 1.5 as starting point, to find solution of f(x)= x-2sinx.

A: Given function f(x)=x-2sinx. The objective is to find the solution by using Newton-Raphson method…

Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

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Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: Q3) use Euler and modified Euler to solve and compare these values with exact solution y + 2xy? = 0…

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Q: A quadratic equation x--4x+43D0 is defined with an initial guess of 10 and 20. Find the approximated…

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Q: Q3) Solve x2ỹ –- 2xỹ + 2y = x

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Q: Q1. (a) What is truncation error? Give one example. Estimate the i when x = 0.3456 × 10* and y =…

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Q: y' + 0.2y = 0, y(0) = 5, h = 0.2 %3D 4.0822 4.0832 4.0951 4.0936

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