Puestion 2x+ 2x +1 Examine :- x²+5x for ylo.6) by Rk-4 meathodify(0)=1, h=0.2.

Q: sec2 x dx sec2 x – 1 f.

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Q: dz at the point (3,2, 1), where z is defined implicitly by the equation z +z²x² – y = 8 Calculate dx…

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Q: Function P(X,y) a In (X*nyt),+tan"() Check the dif ferential equation.

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Q: y' +y tnv =0 differantial equartion find the %3D paratcular and general sotian.

A: Given differential equation is

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Q: (test for exactness) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xyev" )dy %3D

A: Given DE is 2ysinxcosx-y+2y2exy2dx=x-sin2x-4xyexy2dy Test the exactness of the given DE.

Q: Prad of Padius s Ciscle to (a) E B-j)2+2)

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Q: f(x, y) = x + y' on the closed triangular Ans. Absolute max.: 4 at (0,2). Absolute min.: 0 at (0,0)…

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given that  a spherical planet with a radius of 3 units and let its origin is centered at (0 , 0, 0…

Q: (v- 2) dy -(x-V=1) dy = 0 ans y- 3 =(2- v) In Icly -2 )I

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Q: method of variation of parameters y+3y+2y3sin e^^x

A: To solve the differential equation by the method of variation of parameters.

Q: Q: Use Lagrange's Formula to Prove that : 1) Y = Y3 – 0.3 * [ Y5 – Y_3] + 0.2 * [Y_3 – Y_5] . -

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Q: I Applications | Golve por the or tho gonal trajectories y?=4x² (1- cx)

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Q: Separating the variables, xydx – (x + 2)dy = 0 →dx -dy = ( (1-) dx x+2 y - = 0 2 x+2, y

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Q: Exercise: Find dy O y = lox +3 Cost ® y =cscx- 4 Vx +7 Cotx 1+ Cotx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: + 2x - + (1 – y²) - dx²y Show that the equation dx2 dy? 2 + y² < 1, parabolic on the boundary is…

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Q: 5) Evaluate using the method of u-substitution. Show antiderivatives and work. a) [5pts] L dx 2n b)…

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Q: 2 4) d?y |1+ () dx2 dx, Find the: Туре: Order: Linearity: Why?: Unknown Function: Independent…

A: Topic:- differential equations

Q: Linstructure.com/courses/1188493/assignments/2 OLOGY 1: Robins... dx 4Q1S 12QS wmparing EquItIons 1.…

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Q: Using trapezoidal, and 3/8 simpson's rule ⌠13 (1.2x3 + 0.3x2 - 2)dx

A: Given that, ∫131.2 x30.3 x2-2 dx is the function we have to solve it by using the trapezoidal and…

Q: Use any method to evaluate the integrals

A: 47. We have to evaluate the following integral: ∫x+1xdx Let us substitute, x+1=u2 So we get, x=u2-1…

Q: Separation of Variables solution dT? (х, у) dT (х, у) %3D с- dy d²x T(0, y) dT (1, у) —D 0 3D 0 dx…

A: Given equation is  ∂T∂y=c∂2T∂x2                          (i) With initial and boundary conditions…

Q: Q: Use Lagrange's Formula to Prove that : 1) Y₁ = Y3 0.3 * [Y5 - Y-3] +0.2 * [Y-3 - Y-5].

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Q: Find the work done by F = 2xy°i + 7x²y²j in moving a particle once counterclockwise around the curve…

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Q: y = e", y = 0, x = 0, and x = 2; about the x-axis %3D

A: This question can be solved using the definite integral formula of the volume of solid generated…

Q: 2) reflection across the y-axis y

A: Reflection across y-axis Rule: (x,y)→(-x,y)

Q: tind the ared of the regionbounded by the Y-a Xis the line Y=2X ant the line Y s4 bymeausof louble…

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Q: 93. Depreciation Based on data obtained from the Kelley Blue Book, the value V of a Ford Focus that…

A: Part (b) To obtain the value of a 2-year-old focus, put t=2 in the modelling value, V(t)

Q: bounded y = 2 Vi- x Evalual e by the 4 the lines the area se mie 1| ipse メ=+| > y = -|

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Q: 8y2 + 3 dy /6 – 2y

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Q: -Plot the veotor plot Ci.e: on the x,X -plane) Using partioular 'solution and xCt)→ Ca) when t=2 ,…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Exam /Math dy QI/ Find dx 1. if y = u and u = 4x2 – 2x + 5. 2. y = (x² + 4)²(2x³ – 1)3 -

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Q: 1) у' +—у y = x/y

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Q: 14. y"-2y'+ y= cost-sint, y(0) = 1, y'(0) = 3 %3D

A: 1. Laplace transform is an integral transform that converts a function of real variable t to a…

Q: iv.y %3D cot1 (x), у € [0, п] v.y = sec-1 (x), y e |-1, – u|0, vi. y = csc=1 (x) , y € [-T, – U [0.…

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Q: 2. Rotating around a vertical axis: y = 4x -x2, y = 3 and rotated about x = 1.

A: We have to find point of intersection and draw the region bounded , Then rotate the region about x=1…

Q: 3. Lapluce of lunction fct)_is givan by -Fes)-S Pct) d. 6-F4) - C) et dt C. -00 SA

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Q: HX T-Th HY 3)1+2 2. 14 the eavation

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Q: Siupe of the langent iine al any point (X, Y) on the curve 3x2 -2x +7 and the point (1, the curve.…

A: Topic:- application of integration

Q: ht plane to th t the point where (x, y) = (2, 2) has the equation z = ƒ (x, y) = ln (4x4 y+1) OSP

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Q: dy Va2-x2 with initial condition y(a) = 0. dx -a va2-t2 dt This can be solved by y = J %3D II

A: From the above question, we get the differential equation dydx=-a2-x2x with the initial condition…

Q: ++y* within the cylinder x + (y 1)

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Q: (3x2y+2e2y+3)dx + (x3+4xe2y-sech2y+2lny-y)dy=0

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Q: linear integration where product C:y = 2x, 8i Cr²+y)dx + (Zxy +3)dy

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Q: y' = x+y+xy, y(0) = 1 at the point x = 0.1 (h=0.02) Use 4th order RK

A: Given y'=x+y+xy where y=1 when x=0. The objective is to find y0.1 using Runge-Kutta 4th order…

Q: Elimin ate th e parameter from the param etric equations x = E, y = 4t +2;0 sts4.

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Q: 2K-tarメ %3D The Extreme of the turcrion tcx = 2x-toanx absolute Extrema [-1っ3,1? 2. on the interva!

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Q: dx using miscellaneous substitution will yield to secx + 1 Transforming A B © ² с -dz 1+z² © S²+ /…

A: Please see the answer below.