(b) Evaluate: 15 XV289 – x2 dx by first substituting u = 289- x and demonstrating the method of substitution of variable fully.

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A: Solve the following

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A: Given : The given equation is  9y" - 6y + y = 0

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A: Solve the integration

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A: Given that: y'-y=sinx+cos2x To compare the given differential equation with standard form of…

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Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

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A: As there are multiple questions, first one is solved here.

Q: In x²/25+ x² dx , we let x=5sine. A True

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Q: Evaluate the following and show all necessary solutions. Enclose your final answer. (x² + 1)dx | 5…

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A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

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A: We are asked to find the value of k

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A: Let's find.

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A: We can solve this using given information

Q: Evaluate L {e-3(1-2) - 1¹e³¹ − 21²cos(2t) + 3e¯'sin(3t+ π) +-π)}

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A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: Determine Yp using undetermined coefficients: 2. (D2-1) y = e-x (2 sin x + 4 cos x)

A: The solution of the problem is given in the next step.

Q: Eliminate the arbitrary constant ln y = c, sin 3x + c2 cos 3x + 9x^2 -2

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Q: IV. y-y=sin x+cos 2x +e

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Q: b) dx xV5x2 – 4 c) dx 2 + (x - 1)2 d) . /2 2 cosx dx 1+ (sin x)²

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Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

A: NOTE: Refresh your page if you can't see any equations. .

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Q: dx xV25x2 - 16 ec"1x+C x+ C Sec1 sec-lx +C 5 sin"x+C sin Tx + C -1 O O

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A: Given

Q: Find the general solution using the method of undetermined coefficients. y'' + 3y' - 2y = -e(2x) (5…

A: It is given that y\'\' + 3y\' – 2y = –e(2x) (5 cos 2x + 9 sin 2x)        …… (1)Consider y\'\' + 3y\'…

Q: (b) Determine cos(x²) 2x dx by using substitution method.

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Q: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

A: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

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Q: In x2/25+ x2 dx , we let x = 5sine. A True B) False

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Q: II EIN ep %3D 4-cose .A 15 .B V14 13

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Q: Q1: Solve the DE d³y dy x3 +x dx3 = x Inx cos(2lnx) by using inverse dx operator method.

A: To Determine :-  The given differential equation  x3 d3ydx3 + x dydx = x lnx cos2lnx by using…

Q: Find F'(x). SOLUTION IN HANDWRITTEN|| 1 1. F(x) = √²2dt -2x-³ 2. F(x) = ²x²²x cos x² dx

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