y3 (b) Solve the integral . (cx – y)dx + (2x + y)dy along the curves x = from (0,0) to (1,1)

Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

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Q: (1 – x)y" + 2xy' = 0 , y1

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Q: (xy² + x)dx-(x²y-y)dy = 0, y(2) = 5.

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Q: 5x (d) . x²-x-6 dx

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Q: dx 1-S 1-sinx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: T/2 V1+cosx dx T/3

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Q: (2x² + 2xy + y²) dx + (x² + 2xy - y²) dy = 0

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Q: ((x + 1)5 + 3y)dx − (x + 1)dy = 0

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Q: Solve (D² - 2D + 5) y = sin (2x) + 17x cos (2x) — 15x -

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Q: Given 2.3 f (x) = +1, 2+ sin(ræ) that is defined over [1, 6] with a step (h= 1). Using the divided…

A: Given f(x) = 2x32+sinπx+1f(2) = 2(2)32+ sin2π+1 = 162+0+1 = 8+1 = 9f(3) = 2(3)32+ sin3π+1 =…

Q: (2,–2), (4,4), (5,3) by a CUDIC SPime. 4. Determine constants a, b, c, d and e that will produce a…

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Q: (x+1) dx Vx²+2x+1

A: We have to calculate the integral of the given expression   the given expression is ∫(x+1)x2+2x+13…

Q: | x² J1(2x) dx , (use subsitution)

A: Bessel function in terms of series is Jn(x)=∑k=0∞ (-1)kk! γ(n+k+1) x2n+2k. We will prove the…

Q: - 4. 3y(x² − 1)dx + (x³ + 8y − 3x)dy = 0; when x = 0, y = 1

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: 1. (2xy - 3x?)dx + (x² - 2y)dy = 0

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