(d) Show that 1– ei(n+1)0 1 – eie ei(2n+1)e/2 ,-i0/2 - e 2i sin(0/2) Hint: Factor e!6/2 out of the numerator and denominator on the left-hand side. (e) Show that 1 sin((2n + 1)0/2) Σcos(kθ) + 2 sin(0/2) k=0

Q: -4 Chapter 13 / Partial Derivatives f(x, y) = x2 + 2ry- 4x; P(1, 2), Q(1.01, 2.04)

A: Explained below

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A: 4.

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A: The solution is given as

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A: Given differential equation y'=xy+xe-x2

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Q: Format Painter Clipboard Font Paragraph Styles l le le 5. Find the isogonal trajectories of a family…

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A: Given query is to find derivative of the expression.

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Q: 1. Solve the differential equation d²x dt² (a) = 10- d²x dx dx dt (b) (c) 3- dt (d dt² = ď²x dx dt²…

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Q: Transform the following differential equations into start form for linear differential equations

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