Classify the differential equation + x²y = xe*. dx .. partial differential equation 3. ordinary differential equation C. higher order partial differential equation D. higher order ordinary differential equation

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A: We will prove all by using the definitions

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A: Kindly refer to Step 2 for the solution.

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A: Given system of linear equations:-2b+8c=103a+12b-9c=-99a+34b-19c=-16

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Q: A Moving to another question will save this response. Question 1 Which of the following maps from R2…

A: To identify which of the given function is linear.

Q: 4.3.27. Find the QR factorization of the following matrices: 2 0 -1 1 1 -1 −1 3 1 0 1 2 -1 1 1 -1 1…

A: This is a question of linear algebra.

Q: .ㅠ dx 8"(x + 1) e³x

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Q: If f(a) and g(2) are monic polynomials of minimal degree for which A is a root then f(x) = g(a).…

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A: I have given the answer in the next step. Hope you understand that

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Q: where B = P-¹AP. STEP 1: First note that A 3 00 0 -2 0 0 0 1 P-¹AP = = || |B| = 13 11 13([ STEP 3:…

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Q: (a) Find the divergence and curl of the vector field Ğ(x, y, z) = (x + y + 5z, 4x − 2y², 2³ – 3y). -

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Q: Let f(x, y, z)= prove that. In(z²+2y²) cos(z) 3x² +5y² +7z² Find the limit lim lim f(X), if it…

A: Given: fx,y,z=lnx2+2y2cosxyz3x2+5y2+7z2We need to check and show whether limx→∞fx,y,z exists or not.

Q: Solve: y''' — 5y'' — y' + 5y = 0 y(0) -6, y'(0) y(t) = = = 16, y''(0) = - 78

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