Obtain characteristics y² Uxx + Uyy = O

Q: Absolutely convergent

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A: We use definition of basis to find B.

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Q: Kindly

A: We use Comparison Test.

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A: To find- Use the method of reduction of order to find a second solution of the differential equation…

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A: Given the nonhomogeneous system              dxdt=5x+9y+7dydt=-x+11y+21

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Q: 18. Let Show that when n is a positive integer. A-GJ A = A" = [fn+1 fn Lfn fn-1

A: Given matrix as A=1110

Q: [+]。 + y² = 0 Ans:Order3 degree2, ordinary, non-linear d³y (4) +4 dx3

A: Given differential equation is d3ydx3 + 4dydx3 + y2 = 0

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A: Given,       x'=-103020-30-1x

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Q: 2 315 + O Divergent | I 519 4 3 5 7 Conditionally convergent O Absolutely convergent O None of these…

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Q: 1- Find the order and the degree of the following differential equation -

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Q: 3. Solve 2x²y" + xy' − 3y = 0 with the initial condition y(1) = 1 y′(1) = 4

A: This is a Cauchy Euler equation. The equation is solved by a substitution.

Q: x 3 = (a) Find the first 4 non-zero terms for the Maclaurin series for f(x). 3 1 + x + X 1+x² + 5 x…

A: Maclaurin series for (1-x)^(-1)= 1+x+ x^2 +x^3 +. . .. .

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Q: 36) Prove that if A is an invertible matrix and B is row equiva- lent to A, then B is also…

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Q: What is the number of solutions to the congruence in Z125? x³ + x² + 3 = 0 (mod 125)

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A: The given problem is to find the recurrence relation of n for the given homogeneous differential…

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Q: u(x ) = 2 − 2x + 5x ª + 7x ³ + ſ', (x − t)u(t)dt

A: Consider the given Fredholm integral equation, ux=2-2x+5x4+7x5+∫-11x-tutdt So, it can be expand as,…

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Q: 201 2 20 0 3 1 -1

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Q: Particle motion At time t, the position of a body moving along the s-axis is s = t3 - 6t2 +9t m. (a)…

A: Given that at time t, the position of a body moving along the x-axis is s(t) = t3 −6t2 +9t  m Let…

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

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Q: (b) f: P([5])→→→→ P([7]), defined by f(S) = SU {5,6,7} for SC [5]. (c) f: P([8])→→→→ P([5]), defined…

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