CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by stating the order, the dependent and independent variables and whether the equation is ordinary or partial. d³8 (d) √√8-4t (c) xyy' = (y")³ (e) = = d(uv) [1 + y/2]8/2 = v² dv

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A: As we know that; The differential equation Mdr+Ndθ=0 is said to be exact, if ∂M∂θ=∂N∂r. Then the…

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A: A detailed solution is given below.

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Q: 1

A: Given At=te-kt

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A: Find roots

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A: Given matrix A=2-3501-3002

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A: Topic: - application of derivatives

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A: From given table

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Q: Given that f(x) = 6 -√²+1 and g(x) = x - 7, find: 2 a) (fog)(-2) b) (fog)(x) = 6-√(x-7)²+1

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Q: Q2/A: Find the Fourier Series of the function : f(x) = X + π_if - π< X < π and f(x+2n) = f(x)

A: Fourier series of a function is given by f(x)=a0+∑n=1∞ancosnπxM+bnsinnπxM    for -M≤x≤M.Where,…

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A: By using Chain Rule, to find ∂u∂x, ∂u∂y, and ∂u∂z at x, y,z=π4, 12, -12.u=eqr sin-1 p, p=sin x, q=z2…

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A: The given differential equation is: ln xdxdy=xy

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A: Let's find new equation of line.

Q: Given matrices:

A: Given data:- A=42170-71-53B=12-153345-7C=1-24

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Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

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A: see below the calculation with steps.

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Q: 15. d e f 9 h i a b C 'a b с de f =-6 g hi

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Q: dx 4. S x ln x

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Q: Find the degree of the following differential equations: a. y'" - 2(y")³ = (y')² + 3y b. √√y²-(y')³…

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