Now solve the ordinary differential equation (ODE) boundary value problem: v"(y) – X²v(y) = 8(y – &y), 0< §, < 2 v(0) = v(2) = 0, where A is a constant and ' denotes differentiation with respect to y. Simplify your answer as far as possible. Hint: It will be helpful to write down the solution of the ODE in terms of hyperbolic functions.

Q: Question: Find the derivative. y = (2x – 5) (-a + 4) 1. Select one: O y' = 3(4 – z) 2 O y' = 3(4 –…

A: Topic = Derivative

Q: Eliminate the constant/constants from the following equations. (Refer to the note)   (x-C)2 + y2 =…

A: Given x-c2 + y2 = c2To FindNeed to find differential equation taken c as arbitrary constant

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. у 3 ; d'y/dx

A: Question 1,Given,            y=x2-3x3xTo find : d3ydx3

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 5e* cos(yz), Po (0,0,0),…

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Q: 6. (a) Use the Schröder-Bernstein Theorem to prove that [a, b]| = |(a,b)| for any a, b e R. (b) Use…

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Q: 1.) Show that (A*)* = A and (AB)* = B* A*

A: In the given problem we have to show that the two matrix results (A*) *=A  And (AB) *=B*A* where *…

Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: 2. Find the derivative of the following functions: (a) g (0) = 77² (sec 0 - sin 20)²

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Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (ans.: (3x-2) a)…

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Q: Determine the derivative of y=tan(cos-(4x)). -1 A y'=. 4XV1- 16x2 None of the given choices -1 y's…

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Q: Find the y(") ( the fifth derivative ) of y

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: 9999 =9 (mod 10) Select one: O True O False

A: Any number with 9 in ones place when multiplied with itself will give 1 in ones place and when it is…

Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: Find the derivative of i) y = 3* ii) y = cosec 2x 1 iii) y = sin ¹4x

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Q: Use implicit differentiation in finding y'. 1. x²³+y³ =18xy 2. x²y+xy² = 6

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Q: 2) 3. y= (2x + 5)3

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Q: 41. y = (1+4x)(3+xx²)' 2. s--1)* +1) 43. y=(2x-5) (8x-5) -x-x 42. s =

A: Differentiation of the function

Q: An implicit relationship between x and y is given by the equation x² + y² - 20x - 16y + 64 = 0. This…

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Q: 5. A curve has equation y + sin 2y = 2x – x². (a) Use implicit differentiation to show that y' = -1…

A: A curve has the equation  y3 + sin2y = 2x - x2 We have to draw the graph in neighbourhood of (2,0).

Q: If x2 + y? = x³y3 + 1, use implicit differentiation to find y' at the point (1, 1).

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Q: 45. y=- 17-3x z-1 z+1 46. x= (y-1) = (y +2y) 47. z

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Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 1)

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