Evaluate the surface integral. [[ xz dS, S is the part of the plane 2x + 2y + z = 4 that lies in the first octant

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Q: d²y dt2 4 dy + 5y = 2et y(0) = 3 and y'(0) = 1 dt

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A: Solution :- To find fog1i.e. fg1It is clear from plot that g1=3

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Q: If D=- dt find a complete solution of: (2D+3)x+ Dy=1 (2D+3)y-z = e' 3Dx+3z = 0

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Q: 7. Use Romberg method to calculate 2dx.

A: Romberg Integration is given as :-I=∫abf(x)dx=Rn k+O((b−a2n)2k+2)R0 0R1 0R1 1⋯⋯⋱Rn−1 0Rn−1 1⋯Rn−1…

Q: d²y dt² +4y= cos2t y(0) = -2 and y'(0) = 0

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Q: 4. 5. 2 sinh 6t4t cosh 6t t²e-2t sin 8t

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Q: Find a particular solution for y" - 4y - 12y = x using the Method of Undetermined coefficients.

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Q: 2.    Consider a linear system below: 2x − y + z = 2 x + 2y − z = 5 3x + y + 2z = 5 (a)    For the…

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A: Solution :- Given weekly salary = X dollars Getting raise of 16 % , which is equal to 41

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Q: 3. Let f: A→ B be an injection, and X, Y CA. Show that f(XnY) = f(X) nf(Y).

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Q: a) Which of the following systems of ODEs is autonomous and dynamical? || III, where 1:y₁ = e…

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Q: Find second iteration y₂ of the trapezoidal method for y' = (x + y)x, y(2) = 3 Ax = 0.2

A: Definition follows

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Q: For which value of a the system of ODEs = : tanh(y₁) + a sin(y2), ý₁ Select one: a. b. a = 2 -1/2 <…

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Q: Please

A: Here we find solution by Gauss Jorden Method, Inverse of matrix method and varify it.

Q: = areas and a fost de and to the ai i te S [0, 3] × [0, 2]. Evaluate

A: To Evaluate: ∬Sx2zdS, where S is the part of the plane z=3+x+2y above the rectangle 0,3×0,2.