Example 10.37. The deflection of a beam is governed by the equation day +81y = o(x), where (x) is given by the table dx4 X 1/3 2/3 1 p(x): 81 162 243 and boundary condition y(0) = y(0) = y″(1) = y"(1) = 0. Evaluate the deflection at the pivotal points of the beam using three sub-intervals,

Q: y′=y,y(0)=1

A: Use dy/dx in place of y'Then separate the variables.

Q: x-1/2c (4) y = x sinh 2x – cosh 2x

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A: Find the general solution of (a) Using undetermined coefficients.(b) Using variation of parameters.

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Q: Find any constant solutions to y-y²-4, +4.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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Q: Find the general solutions (implicit or explicit) to the following equations. (a) y' = e3x-2y + x²…

A: First order ordinary differential equation.

Q: (A B Which of the following functions satisfy x²dy + y(x + y)dx=0 with y(1) = 1 ? 3x²y = 2x + y x²y…

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Q: You are given a first-order D.E. = x2 + y³ . Suppose the solution y(x) satisfies the initial dx…

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Q: Solve the IVP. 1. (sin x) y' = (cos x) y + 1, y(7) = 0

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Q: Let y" + 5y' +y= x-3 ex the particular solution of the equation can be obtained: Select one: a. Only…

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Q: QI/ Aaswer the following: a) Solve the following initial-value problem: xe dx + (y - 1)dy 0; y(0) =…

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Q: (a) (2e – x)y' = 1.

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Q: Q.4 (a) Use the formula S.{f"(z)} = af(0) – a*S.{f(x}} to find Sa{cosh(2r)}. (b) Classify the…

A: Given In part4a:Sαf''x=αf0-α2SαfxIn part4b: yuyy-xuyz+uy=0

Q: Consider the transformed cubic f(2) = (r – 1) – 125

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Q: find the general solution of y''+y=cos(t) using the variation of parameters method

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Q: 7) Given f(x) = 2x² + 4 and g(x) = vx – 4 %3D %3D Find (f °g)(x) Substitute g(x) into the x of the…

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Q: 10. use "Bernoull's Equation" method dy -y= ey! dx

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Q: (10) Solve the given BVP by using Green's function: ; (ii) y" – y/ = e2; y(0) = 0, y(1) = 0

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Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: Find the derivative dv/dpsi of v(x) V()| V(vi) where V(y) = (1 - e-√2 and 16 V (vi) = (1 - e-√2…

A: Given v(ψ)=VψVψi           (1) where Vψ=1-e-16π3ψ2 and Vψi=1-e-16π3ψi2 Since ψi≠ψ and ψi is the…

Q: y"+y=82 (t) cos(t), y(0) = 0, y'(0) = 0

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Q: a function y = f(x) be implicitly given by the equation y²-x²y³ - cos (πy) = xª. The point (-1,1).

A: Topic:- application of derivatives