An ordinary differential equation of a horizontal string which is freely pinned at both en is given by d²y a²y :(x² – lx), where a? 2EI dx2 EI Find the deflection of the string at any point.

Q: Use variation of parameters to solve the following differential equation for r'y" – 5xy + 5y = r³…

A: x2y'' -5xy' +5y=x3+x2A second order Euler non-homogeneous ODE has the form of ax2y''+bxy'+cy=gxThe…

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A: Solution of differential equations

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Q: dy y3 dx x3 + xy² II

A: Given: - The differential equation is, dydx=y3x3+xy2 To show: - The given differential equation is…

Q: Which is the correct auxiliary equation for the d²y dy differential equation =2-? dx dx 2

A: Given differential equation is d2ydx2=2dydx

Q: Q2-A) Solve the following differential equation using separablemethod. dy 3x + 4x-4 2y - 4 dx

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Q: The indicial equation for the differential equation 2xy" + y + xy = 0 is 2c² - 1 = 0. True False

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Q: An ordinary differential equation of a horizontal string which is freely pinned at both ends is…

A: Given, d2ydx2-a2y=w2Elx2-lx So, the characteristics equation of the given equation is, m2-a2=0m=±a…

Q: An ordinary differential equation of a horizontal string which is freely pinned at both ends is…

A: Here I am attaching image so that you understand each and every step.

Q: of the differential equation x' = 4 sin 2t, which (c) x(π/4) = 2. = 2

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Q: Solve the given differential equation using indeterminate coefficients y''' - 6y'' = 3 - cosx

A: The given differential equation is y'''-6y''=3-cosx. Its auxiliary equation is m3-6m2=0. Solve it as…

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A: (a) The given relation is: y=Ae2x+Bxe2x...(1) To find a differential equation by eliminating the…

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Q: Solve the seperable differential equation 2yy' = x. Use the following initial condition: y(2) = 2.…

A: We can solve the differential equation as below

Q: Solve the following first-order differential equation: y (ln y² -  ln x² + 1)dx - xdy = 0, y(1) =…

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Q: Find complementary function of the differential equation  (D2 + 52)y = sin3x

A: The differential equation is D2+52y=sin3x.

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Q: The following differential equation satisfies the following initial condition y(0)=-3. ydy-xdx-0…

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Q: A population of wild horses is represented by the logistic differential equation dP/dt =…

A: Given: The logistic differential equation is, dpdt=0.08p-0.00004p2          (1) To find: A) The…

Q: The Bernoulli's form of the differential equation xdy - [y + xy³ (1 + ln x)]dx = 0 is

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Q: Form the differential equation for the function x+2y=a sin3x-bcos3x

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Q: Solve the Euler-Cauchy differential equation dy -3x + 4y = dx In?x - Inx

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Q: An ordinary differential equation of a horizontal string which is freely pinned at both ends is…

A: Given problem is :

Q: Solve the Cauchy-Euler differential equation on the interval (0, ∞). x³y"" + 6x²y" + 4xy' - 4y = 0

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Q: Suppose that the number x(t) (with t in months) of alliga- tors in a swamp satisfies the…

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Q: Solve the Linear Higher Order of differential equation using the formulas below. (D² – D + 3)(x In…

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Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: 3. Solve the Euler-Cauchy differential equation d' y dy - 3x+4y=ln² x – In x dx dx?

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Q: What is the general solution of the first order differential equation a csc (2) - B| da + a dß = 0…

A: Given that first order diffrancial equation is αcosecβα-βdα+αdβ=0  function α=fβsolution…

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A: An variable seperable ordinary differential equations of first order can be solved by table same…

Q: Show that the differential equation (- y² – y sin r + x²)dx + ( cos x – 2xy – 2021y²) dy = 0, | is…

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Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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Q: Find the I.F of this nonexact differential equation dy/dx=1/(2xy)

A: Please see the answer below.

Q: Solve the following Exact/Inexact Differential Equation. If it is inexact, then solve it by finding…

A: Topic = Differential Equation

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Q: Write the general form of Cauchy-Euler differential Equation. Solve the follow- ing differential…

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Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

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Q: The differential equation (2x' - xy - 2y+3 dx- (x²y+2xdy = 0 is exact because OM ON

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Q: Solve the differential equation by an appropriate method. d³y, dy dx3 tanx dx

A: Find the complementary function and particular Integral of the given equation. Its general solution…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.