If x) is shown below 3 Then y(t) x(3t – 3) – 1 has the shape

Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

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Q: Evaluate I = √x+e²×¯¹dx 2x-1 a) By using Trapezoidal rule with 12 segments b) By using Simpson's one…

A: The given integral is I=∫17x+e2x-1dx. To Evaluate: (a) Using Trapezoidal Rule with 12 segments. (b)…

Q: Apply Euler-Cauchy Runge-Kutta method for the equation: 2y t y (1) = 1 y' = and cbtain У, , Уг and y…

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Q: In the figure, ZY = ZX and YZ is produced to T. Prove that YT> XT. Y

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Q: Find ∂ w/∂ x at the point (x, y, z) = (2, -1, 1) if w = x2 + y2 + z2, z3 - xy + yz + y3 = 1, and x…

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Q: Find the general dafferential equatron (t) t 36y () - o lol00lution of the general solution y Co) =…

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y()= 3x?y² becomes +z(-÷) =…

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Q: a. My =n xyy

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Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1   Find the general solution.

A: The given differential equation is: y''-y=4cost So, we can also write as: D2-1y=4cost So, the…

Q: Find the soln of the ff: U.E a) y - 3y'tɔy = ei yo=Y'o) =0 4 Xt) 6) x't) - 4x) + - 4e* -4

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Q: Find.: if dy æ*y+æz – yz² = 7. - -2y: 2yz-z C. E. None of the others. /Geen van die ander nie. 비 비…

A: Given; x4y+xz-yz2=7

Q: Suppose b, c E R. Define T: R³ → R² by T(x, y, z) = (2x − 4y + 3z + b, 6x + cxyz). Show that T is…

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Q: - Employ Picard's method to obtain y (0-1) of the equation ay = x +y, given that Y, =0 when x, = 0.

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Q: o Find the Vf at the given point 1.f (x,y,2)=x² + y² -2:2 +z In x,P(1,1,1)

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Q: Ifx' +y +z -2aņz =1, then show that V1-x dy 1- y V1-:

A: We have to use the given condition x2+y2+z2-2xyz=1 to find this.

Q: and v= x2y% if z- fcx,y) where show that dz dv u=X-y 出。是、会 dy 24

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Q: Q:2: a) Find implicitly, if y²cosy +x² = 2xy

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Q: Let y"+ 6y'– 16y = 0, show that: %3D y = 2e-8x is a particular/exact solution. %3D

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Verify that wxy = wyx for w= In (4x + 5y). W. ху Wyx Compare wxy and wyx. Choose the correct answer…

A: Given query is to find the correct option for partial derivatives.

Q: 2. W =I+xy- Z finds Wzz WZX NJ 3.

A: Given W = 1 + xy2 - z2

Q: Solve. a) y - e" cosy b) +2y= + 2y 6e **-+(Let u - )

A: Since you have asked multiple subparts of this question, we will solve the first three subparts…

Q: 5. Find the particular solution of D' + 3D° + 2D° ]y=0 provided that when x = 0, y = 0, y' = 4, y" =…

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Q: For z + y, lim ()(1,1) Va - A. 0 В. 2 C.1 D. Does not exist.

A: This is simple question can be solve by rationalising the given function Solution is given below

Q: . If x, y E R with x < y, prove that x < tx + (1 – t)y < y for all t e (0,1).

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Qe/ Salve the Euler- Cauchy equation xy'- xy+9y=o ?

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Q: If f(x,y) = 3e2y cos (x-2), then the linear approximation at (2,0) is %3D (A) 3-3x (B) 3+ 6y (C)…

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Q: What is P,(y) if the given DE is xydx – (3y – x²)dy = 0? Select the correct response: y 2y O -2y O…

A: Topic:- non exact differential equations

Q: 3. (z, y)(1.5x, 1.5y) A' will be located at ( B' will be located at ( C' will be located at (

A: We have given the scalar factor i.e . (x,y)=(1.5x,1.5y)

Q: If f(x, y) = 3e-2x cos (y – 2), then the linear approximation at (0, 2) is (A) 3 – 3x (B) 3+ 6y (C)…

A: A function of 2 variables can be linearized using the partial derivatives. The formula for the…

Q: Given f(x,y,z) = x³yz². Find fy(1,1,1)

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Q: 1. Let T1,T2 : R3 → R² be given by: T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and T2((x, y, z)) =…

A: Solution is given by using the matrix representation of given transformation as

Q: In the given figure, X > K. Prove that WY> JL. K X Y W

A: Here , we have ∠X&gt;∠K we have to prove that WY&gt;JL

Q: f[x'+zy2,y²2x2], then prove that [y?-zx] (a?-yz] dy [z-xy] du -o. If

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Q: 9. Find y", given y = %3D Vx-1

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Q: H.w use Gramer Rule to Fird XIZ -2X-y+2 -3 %3D -2x43y- 221

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Q: (x + 2y), 0sx<1,0<y<1 fx: 0, elsewhere PG<x<를 &y<b a.

A: Given,f(x)=23(x+2y); 0≤x≤1 , 0≤y≤10; elsewhere

Q: What is P-(y) if the given DE is xydx – (3y – x²)dy = 0? -2y 2y 2 y -2y-1

A: Given : Linear differential equation  Need re write in x form as follows dx/dy +P(y)x=Q(y)

Q: If y = In(x² + y²) then the value of d at the point (1,0) is %3D Select one: O a. 0 O b. 1/2 O c.1 O…

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Q: PART C dy 12. Show that dx 2 for the relation %3D V%3D10, x, y X. # 0. y

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Q: ( a) 2.xdV where E = {(x, y,z) |0 < y < 2, 0 <xs/4- y² ,0 < z< y } E

A: As per Bartleby's answering guidelines, we are supposed to answer one question if more than one has…

Q: The general soslution of x' = x + 2y and y' = -3x -4y is given by: a) x = 2c1e-t + c2e-2t, y =…

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Q: | 2.xdV where E = {(x, y, z) |0 < y < 2, 0sxs 4- y²,0<z< y}

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Q: graph the points z = x + iy that satisfy the given conditions. 5. a. |z | = 2 6. | z - 1| = 2 7. |z…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Given f(x, y, z) = x³yz². Find fy(1,1, 1).

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Q: The singular points for the D.E. (x² – 2x– 3)y" + 4xy' + 2y= 0, are:

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y(-)= 3x²y² becomes A none…

A: We have to write the differential equation in terms of dz/dx.

Q: |Given that y, = t? is a solution to the DE t'y"- 3ty' + 4y 0 on (0, 00), use reduction of order to…

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Q: Is AX'Y'Z' a reflection of AXYZ across line g? g X. Z' Y X'

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.