Solve the separable differential equation dx 1 dt 64 and find the particular solution satisfying the initial condition x(0) = -5. x(t) = = +

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A: Given equation is 4x2y''+1-2xy=0. That is, y''+1-2x4x2y=0 The indicial equation is in the form…

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Q: Solve the differential equation  2y" + 60y = 2x2y" + 4xy'  . Then evaluate the Legendre polynomial…

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Q: Solve the differential equation by variation of parameters. y(x) = y" 16y= 16x 4x est

A: Variation of parameters

Q: dy 2х-5у+3 %3D dx 2x+4у-6 II

A: Given: dydx=2x-5y+32x+4y-6

Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: Solve the differential equation 5y" - 5x2y" -10xy' + 100y = 0 . Then evaluate the Legendre…

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Q: Solve for the Differential Equation (Use Variable Separable) xydx-(x+2)dy=0

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Q: Form the differential equation by eliminating the arbitrary constants y = a csc x + b cot a

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Q: Q1) Solve a first order differential equation. dy -x + Vx² + y² dx y

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Q: Solve the differential equation by variable separable method dy (1+ y) (3x² + 6) = 2- dr 13 + 6z

A: To find- Solve the differential equation by variable separable method dydx = 21 + y23x2 + 6x3 + 6x

Q: Solve the ordinary differential equation  4x2y” + (1 - 2x)y = 0 . Then evaluate the first four terms…

A: Given The given differential equation is 4x2y"+1-2xy=0

Q: The differential equation 14=dT/dt+0.017T models the temperature, T, above room temperature, of an…

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Q: dy ip dy. + x()2 by using a suitable substitution. dr dr 4) Solve the differential equation r- dr2

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