cos(4x) dx - Find the Cauchy principle value (showing details): J (+5x2+4)

Q: nd the general Solution of the tfferential equation. (x+2y-1)dx+(3x (3x+by)dy = C

A: The differential equation is given as , x+2y-1dx+3x+6ydy=0. Simplify the differential equation,…

Q: The y - cos X 3 2 =2y %3D

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Q: Q.1 Put the D.E ey"+2xy' + ây = 0, in self-adjoin form .

A: Given the differential equation e-xy"+2xy'+λy=0 we have to put the given differential equation in…

Q: y^2 = 4x, x^2 = 4y; revolving about the x-axis. Use washer method.

A: To find the volume of the solid generated by rotating the region bounded by: about the x-axis.

Q: ax -bx -cos mxdx, a>0, b>0

A: note : As per our company guidelines we are supposed to answer ?️only one question. Kindly repost…

Q: cos(xy) ea – y² * (b) f(x, y) = -

A: To determine the set of points where the function is continuous for  (b) f(x,y)=cos(xy)ex-y2

Q: 7 Cos X dx e 4 Using the Midpoint Rule, M(50) =| |: %3D

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Q: Find the solution. (D3 +7D2 + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12 (A y = e*cosx B y =…

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Q: dx Integrate by trigonometric substitution: .2 4x² -9 2

A: Given integral :

Q: solution is y(t) = c¿e-2t + c2e5t + 4t + cos2t where c,and c2are arbitrary constants. Note: You must…

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Q: '4 I x1/2 dxi n = 8 (a) Approximate its value by using the Trapezoidal Rule.

A: Given: ∫04x dx where n=8 To find: The approximation using the following, a) Trapezoidal rule, b)…

Q: dx Find the value of a so that %3D 1-x2

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Q: x dy dx x² + y² = In /2 x² X´ + y

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Q: Find nd cos(z ² + y²)dA where D = {(x, y) | 16 ≤ x² + y² ≤ 81} D

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Q: dw Use the Chain Rule to find , where w = sin 8x cos 2y, x= and y =t. dt dw dx (Type an expression…

A: Chain rule

Q: What is the annihilator for y=x e*cos 2x ? (D²+5)2 ® D² +5 © (D²-2D+5)2 D D2-2D+5

A: See the solution.

Q: Q4: Solve the following equation: d²y + 16y = cos²x %3D dx2 Using D-Operator method

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Q: Qlif y= fcus and u=x46x +5 U =X and - 2u -1, Sind dy dx

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Q: dx |(x2 + a²)² 1 Answer: 2a3 ах arctan () + C x2+a?.

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Q: Find the solution. (D4+2D³ + 10D²)y =0. y = c,+c,x+e¯*(c,cos3x +c,sin3x) C B y = (c,+c,)x+e-(c,cos3x…

A: Given Differential equation is D2+2D3+10D2y = 0

Q: || (cos (a2 + y²) dA where D = {(x, y) | 16 < x² + y² < 49} Find SUBMIT A PHOTO OF YOUR HANDWRITTEN…

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Q: (D² – 2D - 3)y = 2sin x a. , =cosx -sinx =-cosx -sinx c. = -cosx +sinx COSX 1 b. yp С. Ур 21 COSX d.…

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Q: 4x + Vx Y = (a) 7x2 – 3 et (b) y = 7x³ cos x 19

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Q: 3. f (t) = e2t cos 5t – 3t3

A: The given function is ft=e2tcos5t-3t3. The Laplace transform formula for eatcosbt is given by…

Q: esz+1 dz, where C:|z- 5|= 1, counterclockwise, is z - 25 The value of

A: We have to evaluate the integral ∮ e3z+1z2-25dz over the circle z-5=1. We have to find the points…

Q: Q4: Find by using udv method cos bx dx ax

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Q: Q4: Find by using udv method ax cos bx dx

A: Here I am attaching image so that you understand each and every step.

Q: f(z) = cos(4r +5) %3D

A: we have to derivative  we know that  d(cos (ax+b) ) = -sin (ax+b) a                        = - a sin…

Q: -2.2 Use the Trapezoidal rule to approximate CoS dx with n = 5.

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Q: xy' – y = x cosx, with y(7/2)= .

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Q: Sahving DES with Homagoneaus Coafficients 2 (2724 y?) dz- xydy- o esson:

A: Rearranging 2(2x2+y2)dx=xydydydx=4x2+2y2xy       =4+2y2x2yxLet…

Q: 사 (R,G) be Hh ft "y op.on R 사OA = Co1]. Find R.

A: Given that R,τL is the left ray topology on R that is, τ=ϕ∪R∪−∞,a;a∈R and A=0,1 (i) To find A−

Q: 4- fil0,00)→R all continious Aunction aro Sx³f(x?)dx= Sx f(x) dx %3D show this.

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Q: olve by MUC: (D³ – D² + 3D + 5)y = e* cos 2x

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Q: Find / cos (z + y)dA where D = {(x, y) | 16 < z² + y² < 36} COS

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Q: tane Q2) a) Find " sec²y dy dx

A: Given : ddx∫0tanθsec2ydy

Q: Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14…

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Q: d^2y/dx^2 + 3dy/dx + 4y = 3x + 2 Utilize the indeterminate coefficient technique to solve the above…

A: Here is the, solution

Q: do. Z=XSin.y.. ay? dx .2 3.

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Q: COS T2² (z−1)(z–2) ed) is equal t

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Q: i. f(x) = Cos?(3Vx) (using chain rule)

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Q: Find the solution. (D4 + 18D² + 81)y = 0 A y = (c, + cx)e²"cos3x + (c,+cx)e²"sin3x. B y = (c, + cz*)…

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Q: e/ (cos(2²) + y²) dæ + (sin(y²) + 2aæ²) dy Evaluate

A: In this question, we need to find the integral over C.  C is a closed curve with the boundary are…

Q: What is the annihilator for y=x e*cos 2x ? A D2+5 B D2-2D+5 © (D²-2D+5)2 (D² +5)2

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Q: What is the annihilator for y=x e*cos 2x? A (D2+5)2 B D2+5 D2-2D+5 D (D²-2D+5)2

A: Explanation of the answer is as follows

Q: == cos(yx²) x=r* – 2t, y=1-°

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Q: y" + 9y = 81x² + 14 cos 4x; when x = 0, y = 0, y' = 3. %3D %3D

A: Use rules of ordinary differential equation

Q: (D3 + 2D2 – 16)y = 40e2x + 80 sin(2x) %3D

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