6. From Descartes's rule of signs, conclude that the equation x2n – 1 = 0 has 2n – 2 imaginary roots. a %3D 7. Without actually obtaining these roots, show that (a) x+3x+7=0 and (b) x6 – 5x – 7x² + 8x + 20 = 0 - both possess imaginar root

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Q: ITEM #3: SOLVE THE SEPARABLE DE 20. y'(1) y(4r + 1). y(0)

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Q: Find the general solution of the following DE in explicit form. y'=2+2y-2x +8

A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: 3. Prove that the solution to the equation 9yy + 4x = 0 can also be written as: y2 = c: and what is…

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A: Given: area of the rectangle =3x3+14x2-23x+6also given that width of the rectangle=x+6To obtain :…

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A: Introduction :

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Q: b) Find particular solution of х*у %3D- (х* - 1) у, У(1) %3D 1.

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Q: 24. Find the first approximate solutions for -2x? + 4x + 2 = 0. 1 - and x = 3- 3 3 x = and x = 3- 3…

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A: Explained below

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Q: Let 44 x +14y = 4 is a linear Diophantine equation 1) Show that 44 x +14y = 4 has integral solutions…

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Q: 2. у" — у' — х %3D 0

A: To solve the given differential equation.

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Q: 5. Solve the problem kuxx = xt, u(x,0) = 0, u₁(x,0) = e, Utt - kuxx -∞ 0 ∞ < x < ∞ ∞<x<∞ -

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