Find a linear differential operator that annihilates the given function. f(x) = 3x2 - x sin 3x + x²e-* cos 4x %3D O D (D² – 9)(D² – 2D + 17)² O (D² +9)² (D² + 2D+ 17)³ D° (D² + 9)² (D² + 2D+ 17)³ O D3 + (D² +9)² + (D² + 2D+ 17)3

Q: Let Dx be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

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Q: we have to evaluate the intepd 3-27-n² d7 -(-27-2)-1 write x us

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Q: Using the substitution t = tan(), the integral 2 dx sin(x) – 78 cos(x) can be written as dt 39 – t-…

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A: a) 2[cos(2x + 2y²)+x] dx - [4y sin(2x + 2y²) + 1] dy is not a total differential, because it is…

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Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: Using this part of the Fundamental Theorem of Calculus: :| f(1) dt = f(x) a find (5c4 — Зс + 7) dc.…

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Q: Check if y = sin(t)et is a solution to: d2y/dt2 + dy/dt = et[3cos(t) + sin(t)]

A: We need to check if y = sin(t)et is a solution to: d2y/dt2 + dy/dt = et[3cos(t) + sin(t)]. We have y…

Q: Evaluate sin sin(x) dx + z cos(y) dy + sin(y) dz where C is the elipse 25x² + 16y2 = 49, oriented…

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