Find the general solution to the DE using the method of Variation of Parameters 8 у" — 4у 3D e 2x + 1'

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2 Given D.E., x2D2+6xD+6)y=x2⋯(1) which is…

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A: Given is the symbol of integration; hence, the integration of the function helps to find the…

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A: Given

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A: topic - indefinite integral

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Q: 1. 4x (7x - 10) 4. -7y'y - 2y - 3y - 3)

A: 1) 4x2(7x-10) =  4x2(7x-10) = (4x2)(7x)+(4x2)(−10) = 28x3−40x2    4x2(7x-10) = 28x3−40x2 is the…

Q: Simplify. (30y+ 13) - (-6y² - 15y + 13) O6y?+45y-26

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A: Given integral is:∫0𝛑4∫02r2sinθcosθdrdθ We have to find the integral value and sktech the region.

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Q: .2 x cos?y dx + tan y dy = 0

A: The given differential equation is  x cos2y dx+tan y dy=0 Solving the the given differential…

Q: Evaluate the solution of: 2(D^2)I - 2Di – 4i=0.

A:

Q: 4d'y dt? dy -8y= 8e, find the solution dt a) Using the Method of Variation of Parameters

A: Given differential equation is 4d2ydt2−4dydt−8y=8e−t....1 We have find the general solution by using…

Q: Solve in terms of t, u"""" + u"""' = 0.

A: Given the differential equation is u"""" + u"""' = 0.  Here the auxiliary equation is r8  + r7 = 0.

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A: Linear DE is of the form: dy/dx + P(x) y = Q(x)

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Q: Vz? – 25 4. -dz

A: use substitution method for solving the integral.

Q: а a²-x² ху(х + у)dydx 0. x,

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