Find the solution of the following Differential Equations 2) y' =-xy

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Q: fund the laplace of Cos it CoS Bt dt

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Q: prove that C+Ã +3 = ARC Using the truth table

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Q: name of the law used in every step of the proof. (na a) A7 alan=T

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Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the feas...

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Q: =3n² + 3n 2. 2 3+6+9+...+3n cam

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Q: y

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Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value ...

A: The given question is related with differential equations. Given that,                   y' = x - y ...

Q: An ingot of mass 1,148 kg contains copper, tin, and lead in the ratio 9:4:1. Calculate the value of ...

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Q: ebt + e-bi ebt – e-bt Find the Laplace transform of coshbt. Recall that coshbt = - and sinhbt = 2 2 ...

A: Given coshbtWe have to find the Laplace transform and in following of them.L{coshbt}=sb2-s2L{coshbt}...

Q: PROPOSITION 4.8. (1) If {U1, ..., Un} is a collection of closed sets, then JUk is also a closed k=1 ...

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Q: stion 12 Using the known standard Taylor power series formula, evaluate anx) dx with n=3 nonzero ter...

A: Evaluate the integral integral

Q: Determine which of the following transformations are linear transformations. OA. The transformation ...

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Q: The vector field F(x,y)= can be written as: OL. F(x,y)=(xy+x2 )i - (8)j O II. F(x.y)=(xy+x2 )i + (2-...

A: TThe vector field        F(x,y)= <xy - 2, x2 - 10>

Q: The directional derivative of f(x, y, z) = xyz at point (-1, 1, 3) in the direction of vector î - 2ĵ...

A: Remark: We know that the directional derivative gives the rate of change of a function at a specific...

Q: 11)For what value of 'x', the expression x - 5x + 6 is poS A) x 3 B) x > 2 and x 4 and x 3

A: 11 Given expression is x2−5x+6. We have to find the value of x for which the expression x2−5x+6 is p...

Q: 3. Show that if a and b are integers such that alb, then ak|b* for every positive integer k.

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Q: One of the following relations is a function from A to B : .a F={ (1,2), (2,4),(2,6)},A={1,2,3},B={2...

A: To choose: The option which denotes a function from A to B: - (a.) F=1,2,2,4,2,6, A=1,2,3, B=2,4,6 (...

Q: Why multiplication/division and addition/subtraction have different rules in terms of identifying th...

A: If we add or substract zero from a number then it will give the same number. But when we multiply of...

Q: The set S contains some real numbers, according to the following three rules (i) 1/1 is in S (ii) ...

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Q: 2x1 + 12 I3 = 0 %D + 13 = 4 T1 + 12 + 13 = 0 %3D

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

Q: 1. ऊँचाई 14 cm वाले एक लम्ब वृत्तीय बेलन का वक्र पृष्ठीय क्षेत्रफल 88 cm है। बेलन के आधार का व्यास ज...

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Q: d WX)=y, y2" -V½ y,". Let W(x)=W[y, Y½] for any two differentiable functions, Then dx Select one: O ...

A: Introduction: The Wronskian is the determinant of functions and their derivatives. Suppose, S=y1,y2,...

Q: Directions: Justify each statement by stating the property, theorem, postulate, or definition that s...

A: 4) The statement is "If x<10, then 4x<40". The property depicted here is the multiplication pr...

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How ...

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Q: Solve the DE (x² + 1)dx + x²y²dy =0

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Q: 2. Solve the following equations using matrix methods: X2 + *3 + x3 2x1 + 12 - (a) =D1 + 13 + x2 + r...

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Q: 10. Prove the following statement by contradiction. “V odd inte- gers a and b, 4 { (a² + b²)."

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Q: A management consulting firm has four types of professionals on its staff: Managing consultants, sen...

A: The complete solutions are given below  

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Q: Find the value of J/2(x)

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Q: Question 57 A scientific sample of radium-2 decayed to 81% of its original amount after 2 years pass...

A: To determine the amount of time required to decay to 20% of the starting amount.

Q: Find the Laplace transform of the given function. [1, 0 8 L{f(t)} s > 0.

A: To find- Find the Laplace transform of the given function. ft = 1,0 ≤ t < 80,t ≥ 8     Formula Us...

Q: Find the length of the vector (12, 4, 4). O 8.75 О 5.18 O 13.27 O 7

A: Length of the vector

Q: The directional derivative of f(x, y, z) = xyz at point (-1, 1, 3) in the direction of vector î - 2j...

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Q: Using integration by parts, find the Laplace transform of the given function; n is a positive intege...

A: Given f(t)=tneatwhere n is a positive integer and a is real constant. We have to find the Laplace tr...

Q: Suppose that m,n are two integers such that m3-2n2=1 Does it follow that m and n are relatively prim...

A: Suppose that m, n are two integers such that m3−2n2=1. We have to check whether m and n are relative...

Q: 5. prove that S"erf cx) dx =0

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Q: Proof: Statements Reasons 1. AABC with BC > AB 2. There is a point D on BC such that DB = BA 2. Why?...

A: We know that, a three sided closed plane figure is called triangle.  We can draw a triangle iff " su...

Q: 16 $ 20 $ 12 $ 200 A 14 $ 8$ 18$ 160 B 26 $ 24 $ 16 $ 90 C 180 120 150 450 DEMAND Formulate an initi...

A: given data   D E F capacities A 16 20 12 200 B 14 8 18 160 C 26 24 16 90 demand 180 120 1...

Q: 3.) Prove: Given an integer n, show that a. If n is even, then n - 1 is odd. b. If n - 1 is odd, the...

A: Given  we have given that n is an integer  then we have to prove (a)  if n is even then n-1 is odd i...

Q: f the line + 2x?u n ioining

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Q: cally integra then in any ng curves is

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Q: 2. Show that if a and b are positive integers and alb, then a < b. 3. Show that if a and b are integ...

A: Basic facts about division will be used in solving this problem.

Q: 5. your answer. If they are not then supply a proof of the claim. Which of the following pairs of gr...

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Q: Determine whether the relations represented by the zero-one matrix are equivalent and explain your a...

A: Matrix representation of an equivalence relation is symmetric.

Q: Find the Laplace transforms of the given functions. g(d) = e31 + cos(6) – e³ªcos(61) sins Coss S - 3...

A: Given function is gt=e3t+cos6t−e3tcos6t. We have find the Laplace transform of the gt. Take Laplace ...