1. Show that there is no maximum principle for the wave equation.

Q: Find the kernel and range of each of the followinglinear operators on P3: L (p(x)) = p(x)−p'(x)

A: The given linear operator on P3x is Lpx=px-p'x We have to find its kernel and range.

Q: D: = [1 0 0 0] 0 1 0 0 0010 0041 E = [1 0 0 0 0 0 0 √200 010 001 ,F= [1000 0001 0010 0100

A: As we apply elementary row operations on identity matrix.

Q: xydx + ydy - xy +3 ху-2: ex 2x ll of the

A: According to questions Option C and D are true

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Q: Which of the following classification of the differential equation, ²+ dx² O A. dependent variable =…

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Q: Prove: The product of any two rational numbers is rational.

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Q: dy Which of the following is TRUE about the differential equation x x + y = /? | dx O A. The…

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Q: D = A= = Γ1 0 0 0 01 00 00 10 00 4 π 0 √2 23140 3 0 1 1 E = 27 0 5 0 0 0 √2 0 00 10 001 F = [100 0]…

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Q: Which of the following classification of the differential equation, +5 d²y dx² O A. dependent…

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Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

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Q: 1/sqrt(1) + 1/sqrt(2) + . . . + 1/sqrt(n) = sqrt (n) for n=1,2,3

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Q: m = b If a = OA and b OB, prove that OP P = n na +mb m+n B

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Q: (a) (b) (c) +8 {√n+1 = √n+ 2 } 2 ONG e n=1 In n +00 n=1 n=1

A: First put 5 terms and find value and look at the limit as n is large.

Q: Let n be a positive integer and p a prime that divides n. Prove that pis prime in Zn.

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Q: Which of the following shows F7 Frieze Design? a) b) d) CCC

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Q: The degree of homogeneity of the function ƒ(x, y) = (x² − 4y²)-1/² OA 1 O B. -1 O C. -1/2 D. None of…

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