Use imaginary part of the solution to the complexified version of the following ODE to find its particular solution: y"+y-6y=-200 sin(t) Yp =

Q: Eliminate the arbitrary constant for y = 2 + Cq sin 4t

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Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

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Q: y= 12 cos(pi/5(x-6))+10 what is x when y=7

A: Given the equation :

Q: sin X 1/ガースゴ+スコービsinx

A: Given differential equation is  y" -3y' +2y=e^x sinx

Q: -3RT/2 b. Smt cos³x sinx dx

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Q: Solve (D2+1)y=sin x sin 2x

A: Note that the particular solution can be obtained using the following forms: (i)…

Q: Find the roots of 3 cos (x)-x2=-10.

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Q: Find the first and second derivatives of r = [3 cos 2t, 3 sin 2t , 4t].

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Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

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Q: Find all solutions Cos(x/2)-cosx = 0

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Q: Solve (D² - 2D + 5) y = sin (2x) + 17x cos (2x) — 15x -

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Q: Y = 2 sin x + 1

A: Function given in the question is: Use the form  to find the variables a, b, c and d and thus find…

Q: Solve (cosx)dy = (sinx)dx

A: The objective is to solve the expression cosxdy=sinxdx

Q: Construct an equation such that y = = C1e3z cos x + C2e3ª sin x is its general solution.

A: To determine the differential equation from the solution  Check the number of constant in the…

Q: Solve (D2+1)y=sin x sin 2x

A: The given differential equation is  (D2 +1)y = sinx. sin2x

Q: 2a xsin " dx 1.

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Q: Find all solutions cos(4x) = cos(6x)

A: The objective is to find all solutions of cos(4x) = cos(6x)

Q: y = cos(-4x)

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Q: 6- y = (sec(2x) + tan(3x))-2

A: We have given function-  y = [sec(2x) + tan(3x) ]^-2