SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0 2. x + ( 1+x)y = e -x sin2x dx

Q: For the function p(x) = 7x – 6xª + x³ + x² – 6x, the Question 2. number of critical points is a) The...

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Q: uestion 1. Show that in S7, the equation x² = (1234) has no solutions.

A: Our objective is to show in S7, the equation x2=(1234) has no solution

Q: • 1. Using the method of undertermined coefficients, solve y" +y = g (t), where if 0<tST, Te-, if t2...

A: For 0≤t≤π,  The Differential Equation becomes y''+y=t The characteristic equation for this different...

Q: 1. . x²+25 =0 2. 2x2 +3x +4=0 3. 412 - 5t+7=0

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic oper...

Q: The speed of the traffic flowing past a certain downtown exit between the hours of 1:00 P.M. and 6:0...

A: Given speed of the traffic is v=t3-10.5 t2 +30t +20 miles per hour.  

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; Relation: f(n+1) =5-[f(n)]...

A: As per our guidelines we are supposed to answer only first one. Then i solve Question (2) only. Plea...

Q: A connected simple graph has five vertices (each of degree four). Into how many regions is the plane...

A: Given that  A connected simple graph has five vertices each of degree four.  To find The number of r...

Q: Question 1. Show that in S7, the equation x² = (1234) has no solutions.

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Q: Construct the truth tables for the following compound prepositions. b. (u V w) ^ ~ w

A: We write "T" for true and "F" for false in the truth table.

Q: 3. A'B + B? - 31,

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Q: a) The interscction of two intervals is an interval. b) The union of two intervals is an interval. c...

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Q: Assume X, Y CU. Prove that (U \ X) U (U \ Y) = U \ (X n Y)

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Q: Use the grouping method to simplify the expression (x + 3)(x- 4). Distribute the factor, to the lecr...

A: Given expression is x+3x−4. Distribute the first factor x+3 to the second factor x-4. So both terms ...

Q: 1 (b) 1+j Evaluate (a) 1+j -25 (1+ j2 (3+ j4 2- j5 Show that = 57+j24

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Q: [2 1 A = 3 2 l2 1 21

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Q: Let X be a set and {Ya|a E A} an indexed family of sets. Prove that X U (naEA Ya) =Naɛa (X u Ya).

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Q: Consider an application whose runtime can be expressed as f(n) = 2f(n/3) +3n. Which of the following...

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Q: Solve the initial value problem: dy + y = 0, y(7/3) = 0, y'("/3) = 2

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Q: -(-p a q) v (-p^ q)) v (p ^ q) = O -P O-pA O None of the choices O F OT OPA9 O P

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Q: Find the Taylor's or Laurent's series expansion of the complex variable function which is represente...

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Q: detailed solution with step by step explanation Solve for the laplace transform of the function: f(t...

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Q: 2n=1 4. Prove that the convergence of E=1 an where a, 2 0 implies the convergence of an 5. sin(2n-1 ...

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Q: (유) 8 Find the EXACT value of sin(A + B) if angle A is arctan and angle B is arcsin 17 sin(A + B) -

A: Given ∠A=arctan43 and ∠B=arcsin817. We have to find the exact value of sinA+B. Use formula, sinA+B=s...

Q: 1. Given interaction between 2 sectors in economy Industry Final Demands Gross Output II Industry 20...

A: Given the interaction between 2 sector of economy   industry 1 industry 2 final demand gross outp...

Q: Determine the solution to the I.V.P. y'' + 7y' + 12y = 21e^3t , y(0) = 7/2, y'(0) = -10

A: Solution

Q: Question 90 How many leaves does a full 3-ary tree with 100 vertices have? O 66 O.50 O 67

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Q: If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is u...

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Q: E i(i+ 1) is O(n) O O(n) e(n!) O O(n Ig n) ONone of the above

A: Given that ∑i=1nii+1. ∑i=1nii+1=∑i=1ni2+i=∑i=1ni2+∑i=1ni=16n2n+1n+1+12nn+1=16n2n+1n+1+12nn+1=Θn3

Q: Question 5. Suppose G is an Abelain group, |G| = n < ∞, and |g| # 2 for all g E G. Prove that the ma...

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Q: (0 8 1 1 4 -1

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Q: Let B and C be bases for a vector space V and let the change-of-coordinates 3 . If [v]c = 7 what is ...

A: Given that B and C be bases for a vector space V and let the change of coordinates matrix from B to ...

Q: 1- Solve the following equations using Grammar's rule: a) 3x +8y 4 3x -y = -13

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Q: stion 31 aF: Z to Z and G:Z to Z by the rules F(n) = 2n and G(n) = Ln/2J %3D ery integer n. Is G • F...

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Q: Question 6. defined function is continuous everywhere: Determine for which values of a the following...

A: Given function is fx=a2x−1 if x≤1ax         if x&gt;1. We have to find the value of a for which func...

Q: Let A, B1, B2 and C be sets and let B AC BỊ and C C B2. Bị × B2. Consider the statement, "If A x C C...

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Q: f (t) = e2t V1 + cos 4x %3D

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Q: Electric charge is distributed over the disk 22 + y? < 9 so that the charge density at (x.y) is o(x,...

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Q: Find a non-zero, 2 x 2 matrix such that: -5 -5 25

A: Solution

Q: Consider an undirected, connected, simple graph with n vertices. What are the minimum and maximum nu...

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Q: In Problems 3 to 7 evaluate in a+ jb form given Z = 1+ j2, Z2=4- j3. Z3=-2+ j3 and Z4 =-5- j. Z1 (b)...

A: Please find attachment for the details solution

Q: In Exercises 9 solution to the given initial-value problem over the time interval specified. Your an...

A: The differential equation given is as follows: dydt=y2-y3 Where ft, y=y2-y3. The initial condition i...

Q: Define the subset W1 of M3(R) to be the set of all matrices A e M3(R) satisfying 21,1 + a2,2 + a3,3 ...

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Q: 0.5 x 0.4-=

A: A fraction is a number in the form xy (where x and y are both integers and y≠0). In the above number...

Q: Match each graph with its contour map. Graph A matches Graph B matches Graph C matches Graph D match...

A: The answer for the above problem is given below

Q: 13) Explain whether the following argument is deductive or inductive. I have never seen UPS delivery...

A:   Inductive reasoning is the method, in which specific observations that are believed to be true...

Q: Evaluate: 2 (a) (1+ j)* (b)

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Q: Question 1 Is the ff. argument valid? ( Note: means "-") ..r O Insufficient information to find the ...

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Q: Prove that for any set relation R (we did not pick it to be "on" any particular set) R* =N{Q:RC Q^ Q...

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Q: Explain why the subset --{|- а — b S = a + b a, b e R -2b – 3a of R3 is or is not a subspace of R³.

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Q: 2. Math as an art is indeed a beauty which many people are now showing signs of appreciation particu...

A: The reciprocal function is a function whose denominator consists of a constant or a polynomial. A re...