State the order of the given ordinary differential equation. (1 — х)у" — 4ху' + 2у %3D сos х Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1. - 1 d'y dn 1(x)- dx" a (x) + a,(x)y = g(x) (6) dy + ... + 1 + dx" dx linear nonlinear

Q: y' – (cotx)y = -(2cosx)y-2

A: Handwriting solution

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A: Since you have posted a question with multiple sub parts, we will solve the first four sub parts for…

Q: (a) 2xy? + x²y' = y², y(1) = = -1 (а) Зу(2? — 1) + (»3 + 8y — За) dy (b) 4x?3 dy гу* + 2 dæ (e) xy'…

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A: We first obtain Dy, D2y, D3y, D4y, D5y for given particular solution y. Then we find which of the…

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A: We have to solve the problem

Q: Determine the order of the differential equation. y' + y = 7y2

A: We have to Determine the order of the differential equation.

Q: Solve the Linear Higher Order of differential equation using the formulas below. (D3 — 3D2 — 4)(е 2х…

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Q: 2) The rate of increase in a bank account is 4% of the amount in the account; the initial deposit is…

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Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: 5) Find all the singular points for the given differential equation. Classify each one as regular or…

A: Step:-1 Let P(x)d2ydx2 + Q(x) dydx + R(x) y =0 -----(1), be the differential equation of second…

Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: 3 dw + xy + w = k dx2 2 +s + 2st = 0 dx (尚) ds dt dt y" – 5x(y')2 = e* + 1

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Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

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Q: find the degree of the differential equation y''-12cosec y= 0   3 1 4 or 2

A: The order of the differential equation is 2.

Q: Determine if the series converges or diverges. Use any method, and give a reason for your answer.…

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Q: Example 11 : Find the equation of the curve satisfying the differential eguatio- dy (1+x?)+2xy= 4x²…

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