ai + a2 c(w1, w2, y) = w1X1+W2X2 = -aj [(a1 + a2)ag' W2 %3D

Q: geometry to evaluate S V4 - x dx. -2

A: Given : integration gives area under the curve.  let  y=4-x2      y2=4-x2   x2+y2=4   x2+y2=22it is…

Q: х+у+2z %3D0 Solve x — у + z%3D —1 2х + у +z %3D 2 by Gaussian elimination. а. (1,-1,-1) b. (1, 1,…

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Q: Problem Solving: x7+2 Integrate: S, V4- x2- dx V4-a2 ---

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Q: 2x-5 2). S -2x-3x dx (Integration by Partial Fraction)

A: The given integration,∫2x2-5x3-2x2-3xdx

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A: We compare the given fractional linear programming problem by the standard fractional linear…

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Q: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

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Q: Chain rule y= 1/(2x + 5)3

A: Using chain rule we have to evaluate the derivative of the following -  y = 1(2x+5)3

Q: Cartesian equation of z+1=3 is x² + (v + 1)² = 9 0 (x +1)2 - y² = 9 o (x-1)- +y² = 9 0 (x + 1)² + y²…

A: Any complex number z is of the form z=x+iy . where x and y are real number and i is squareroot of…

Q: elimination of first degree variable: 3x+y-z=11 x+3y-z=13 x+y-3z=11

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Q: y²x = 1 + Cy

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Q: Sį : -8(y – 2) = (x – 1)² S2 : y + z = 2 S3 : x = 0 S4 : y = 0 S3 : z = 0 %3D

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Q: fin) general solution ODE order 3x -hy-2 3x-4y-2

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Q: (w³ + wz² – z)dw + (z³ + w²z – w)dz = 0

A: Let us consider a differential equation  Mdx+Ndy=0  To check the equation is exact, determine…

Q: a²u อใน 0²4 - 0x² = ²x cost e2x at (00) u(0,t) = 0, u(ñ, t) = 0, u(x, 0) = 0, u(x,0) = 0 at

A: Introduction: To determine initial boundary value problem, Laplace transformation is very important.…

Q: 3s - 2s - (s-3)(s² +1) %3D (1 + ;s)(E = $) = (s)d

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Q: X1+iy,=X2+iy2" ューx,○ X =X ,=y,O *ュ=ソ,○

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Q: The Power Chain Rule simplifies computing the derivative of a powerof an expression

A: To find the derivative of a power of an expression using the chain rule. ddxe3x+1 Solution: Chain…

Q: fi = sin(6x,)+ cos(4.x, )–1.5x, = 0 f2 = e* +6x, + 4x, = 0 f, = x, – x, +3x, = 0 Use the initial…

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Q: 1. y" - 2y' - 3y= e2x by D- operator method

A: Solve for cf and PI

Q: fcy I54+42 +28 -2ラ 28 6-42 16 と3 Find the Of Y vaniance

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Q: critical point of y = xe* O 2, 2e^2 O - 1, -1/e O 0,0 O 1,e

A: Given: y=xex

Q: "stem of equations х — 2у em if x-2y = 8 is tangent to 3 e system has two distinct real s

A: Tangent Line:  A tangent line to a curve at a given point is a line that intersects the curve at the…

Q: Describe and sketch the surface given by the function.

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Q: 3 - 9, y(0) 33 - 30 – 13 a(t) = y(t) = %3D

A: Given,       x'y'=53-30-13xy     x(0)=-9, y(0)=33

Q: how can i do gaussian elimination a quick and easy way

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Q: 3x + y + z = -2x - y x + 3y - Sz - 11 -7 A. (2, 3, t) В. (2, 3, 0) OC. (2 +t, 3 - 2t, t D. (2 - t, 3…

A: A general system of m linear equations with n unknowns can be written as {\displaystyle…

Q: Cartesian equation of z+1=3 is o (r +1)2 – y² = 9 o (r- 1)² + y² = 9 o r² + (v + 1)² = 9 , (r + 1)²…

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Q: 5. Find the General and Particular solution of Зу ; у%3D 3, when x 3D 0 %3D 业

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Q: operator method 2.y" - 2y' - 3y = e2x + 3x² + 4x – 5 + 5cos(2x)

A: The following differential equation has been solved by operator method below.

Q: ay and

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Q: 2. (20 points) Solve using integrating factors method. xy'-3y=x, y(2)=1.

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Q: | f(x) dx = -2, f(x) dx = -7, g(x) dx = 9, g(x) dx = -5, %3D

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Q: 2s - 1 s2 - s -- 2' F(s) = s2 – 4 - 4 F(s) : (s2 + 4)2 1 F(s) = s2 + 3s + 2

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Q: х+ 2y - z %3D 1 = 1 X - = 2 y + z = 3

A: Let   x+2y-z=1↦Equation 1x-y=2↦Equation 2y+z=3↦Equation 3 by taking Eq 1-Eq 2, we get…

Q: Interaction of two species of squirrels fiercely competing for the same ecological niche on an…

A: Given: The Lotka-Volterra-Gause equations,   To state: What may be the ultimate state of the system…

Q: 3. -2 -5 Find the va lue of Hif Xi+xdx 3.

A: 3-2-518H-134=∫03x1+x2dxPut 1+x2=yas x →0 ,y→1as x →3 ,y→2differentiate on both…

Q: Producing x1 trucks and x2 planes needs x1 + 50x2 tons of steel, 40x1 + 1000x2 pounds of rubber, and…

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Q: Solve the linear system of equations using Differential Operator method... show details...…

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Q: Ar)- (xr+1 - })* + (%, – )* + (xr-1 - )* + (y. – )² + (x, – ) + (y+1 - }) + (x, – })* + (y.-1- }) -4…

A: Given that, Lhϕr, s=1△x2ϕr+1,s+ϕr-1, s+ϕr, s+1+ϕr, s-1-4ϕr,…

Q: 5. (w3 + wz² – z)dw + (z³ + w²z – w)dz = 0,when w = 4, z = 2 %3D %3D

A: The differential equation can be solved by separating the variables on each side and integrating…

Q: Y"'-y"+y'-y=xe^x-xe^-x+7 by using  Variation of parameters  methode

A: first, we will find the values of y1 and y2 by equating the equation equal to 0 we get…

Q: T: P2 P2, .2 T(ax2 + bx + c) = ax² + bx +c B = {1, 1 – x, (1 - x)²} B' = {1, x , x²} v = x² – 3x +3…

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Q: Hhe following Oues hom Solue Gaussian elimination OC, -3xz + 2x3 - Xq +23cs=2 3x1 -9xz +7x3 - )C4 +…

A: The Gauss elimination method is used to reduce the given matrix into row-echelon form by using the…

Q: Linear Methods

A: Given, x1x2˙=-37-563045x1x2+e4t26-19 i.e.  x1˙=-37x1-56x2+26e4tx2˙=30x1+45x2-19e4t Given the…

Q: Solve the linear system of equations using Differential Operator method... show details...…

A: Given problem is :

Q: 7- Deteremin all Max and min value of y= xe* +3e³

A: The given function is y=xex + 3e3. Determine all maximum and minimum values.