(D* – 4D³ +14D² – 20D +9)y = 0 - -

Q: find the general solution with egienvalues and the phase potrait

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Q: Find the value of b and c in the form x2 + bx + c = 0 with solution x = 2- V3 and %3D x=2+ 3.

A: b= -(sum of solution)  c= product of solution

Q: why should y>0 ?

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Q: ifZ=5-V2i the absalutevalue is.

A: Given:      z=5-2i    Absolute value of complex number a+bi=a2+b2    here a=5,b=-2

Q: 2 2 +50 +4) у CD4+. S о

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Q: 2. Hノ=1geノ-1 アrンィ 8タ=ー =/ク(=2

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Q: What is s.t in the solution?

A: It is ' such that' .

Q: A 2nd order homogenous LDE has a solution xe-3x Find its general solution.

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Q: Prove that if gcd(a,b)=1 then gcd(a+b,ab)=1.

A: Given, gcda,b=1 Let, d=gcda+b,ab This implies, da+b and dab This gives, dba+b⇒dab+b2Since,…

Q: Va2–x2 ху(х + у)dydx

A: To evaluate the given double integral.

Q: wouldn't there be a t in the second term of the general solution?

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Q: Solve the following systemto find .r(T.02)using RK2 i(1) = 1 +.r² +r?. x(1) = -4, l = 0.01. a = 1…

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Q: Az = 6, where A = --0-0 = 5 12 1 (D) y=1+x (A) y = Using that â = 1/4 the line that best fits the…

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Q: Differentiate the following without solving for y in terms of x. 1. x² + y2 = 81 2. x²-x-y = 6 3. x2…

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Q: 2. Determine the complete solution of xydy – (x + 2y)²dy = 0 %3D

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Q: Suppose p(x, y) = = 2x+y -₂x = 1, 2, 3, y = 1, 2 is the joint pmf of X and Y. Determine P (Y= 1). 33

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Q: x²y" + xy' – 4y = 2x*

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Q: Solve the following linear differential equation system, i.e., find y₂(t). dyn (1) dt dyż (t) dt =…

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Q: Q4:-Solve the following equations (choose tow only):- 1: x²y= - 2xy + 2y = 2x³e* 2: 2x?y= + 4xy + 3y…

A: Solution :- 1

Q: у (х + у+ 1)dx +x(х+3у+2) dy %3D0

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Q: Let 1 2 -1 A = 2 4 -2 -2 Describe all solutions of A = 0. * = x2 +x3 +x4

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Q: Determine the General Particular Solution of the following DES.

A: We have to find the solution of the given differential equation.

Q: y" – 2y' + y = -3 – x + x?.

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Q: Given y1 = Vi a solution of 4t²y" +y= 0. Find a second independent solution.

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Q: (b) Show that general solution of the second-order difference equation: ya+2 - Gys+1 + 8ya = 2+ 3.k…

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Q: Q2/ Classify the following equation as linear or not, and if not, what type of linearity it is: –…

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Q: ) Find the general solution: x" - 9x = 0

A: The given differential equation is       x'' - 9x =0      Then auxiliary equation is     D2 - 9=0…

Q: the set of solutions of X2-X-6%3D0 is

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Q: You have been asked to the following set of equations that have been obtained from the structural…

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Q: Find the general solution of æ²p+ y²q = (x + y)z.

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Q: 4. Which is the solution to the equation 2sin22x + 3sin2x + 1 = 0, x = 6

A: Substitute p for sin 2x in the equation and then solve for p. Factorize the equation by first…

Q: Determine whether the Diophantine equation 15x + 53y = 17 is solvable or not. If it is solvable,…

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Q: Cannot solve

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Q: 1. y = V(x2 + 2) – x (x² +2) - х

A: Topic = Derivatives As per guidelines, At a time only one question can be answered out of different…

Q: 7. (x+2yXdx- dy) = dx + dy. %3D

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Q: 2 2 3 -4 find, Alel. -1 g? A= 3 -2

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve the following linear equation using pseudoinverse method: 0 1 2 3 4 0 5 -2 3 0 0 2 -5 6 0 -1 6…

A: Pseudoinverse: Given an m×n real matrix A, the Moore-Penrose pseudoinverse A+ of the matrix is…