Find the root of the following equation using Newton Raphson method where the initial value of x equals to 0.75 after the second iteration x-2 y = 103 + 1014e 0.26,

Q: у" + 2y" - у — 2у%3D0

A: To solve a differential equation  Determine the characteristic equation  Determine the roots if the…

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A: The given equation is Simplify it It implies that the given equation is separable.

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Q: Find a root of an equation f (x)= -2r° + 2x + 5 initial solution xo=1.5, using the Newton Raphson…

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Q: I. Solve the following manually using separable differential equations method. 6. тydx + nxdy 3D0

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Q: di sint, 1st<n Q3. Solve the initial value problem +i = f(t), i(1) = 0, f (t) = {0" dt

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Q: b. y = 3 t2 %3D y( 1 + t³)

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Q: Q4- Solve the following differential equation: (1 + x²) dy + (y - tan-¹(x)) dx

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Q: Find the solution of the following Differential Equations By Exact 13) xdy-ydx 0

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Q: 8. y' = 1+3y tan x

A: Consider the equationy'+p(x) y=q(x)IF=e∫p(x) dxSolution is y(IF)=∫q(x).IF dx

Q: 4. (y' — 5у) %3 х?е* — х е5x

A: According to question, Given differential equation, y'-5y = x2ex-xe5x.

Q: 3. Solve the following higher order differential equation given that y() = 0, y'() = 2 [Apply the…

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Q: ア=() (2y+3\2 4x+5.

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Q: Solve the following differential expation (1) -- 6y 0

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Q: Q2) Solve the following ordinary differential equation, explain the calculation steps by details and…

A: Given: dydx=cosx+y....1 Let, x+y=tSo,dxdx+dydx=dtdx1+dydx=dtdxdydx=dtdx-1 Now substitute these…

Q: 8.) y' = x-y+5 x+y-l

A: To solve the differential equation.

Q: 4. ydx = 2(x +y)dy

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Q: olve the following differential equation by using variation parameters method: -9x "+6y'+9y=2+ e

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Q: Solve the following differential equation by dividing interval to 4 equal parts (1 + Ax)y" + By¹ +…

A: Given,              (1+Ax)y''+By'+Cy=Dxy(a)=0, y'(b)=1 Where             A=-3, B=2, C=-1, D=2, a=2,…

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Q: Use the Euler method to solve the following equation analytically for .five iterations. Given that…

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Q: 6. y' = x- 2y cot 2x

A: Given that the equation y' = x - 2y cot 2x y'+ 2cot 2xy = x  This is a linear differential equation…

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

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Q: = 2x- y dx

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Q: = 2 + Vy – 2x + 3 (reduction to separation of variables) dr dy

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Q: Consider the following equation f(x)=x²-2x+2 whose roots we seek with an initial guess of x-4. Fixed…

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Q: Q1: Solve the following differential equation using series method around Xo=0? у" - ху %3D0

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Q: Use the method of undetermined coefficients to solve the following differential equation: y" + 3y' =…

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Q: Use the method of undetermined coefficients to solve the following differential equation: y" + 2y' =…

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Q: A. Solve the following linear differential equatio 2. тб + m5 - т4- т3 %3D0

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Q: Q3: Use two iterations of Newton-Raphson method to solve the following nonlinear equation sin? (x) +…

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Q: Solve the differential equation given the condition P(1)=5   dP/dt = 5(sqrt(Pt))

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Q: Find the root of the following equation using Newton Raphson method where the initial value of x…

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Q: (yt + y)dy + ty dt = 0.

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Q: (x+xy²) dx + ye dy = 0 Separable Equation

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Q: Solve the following differential equation by the method of Variation of Parameters: x" + 49x csc…

A: The given differential equation is;  x''+49x=csc2(7t).

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Q: ii) 2yt'dy + 3y°®dt = 0

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Q: y" + 4y = 4sec²2x

A: We have to solve the differential equation