If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential equation then, what is the complementary function?

Q: 6. Determine which of these integers are prime. a) 7· 17 b) 1· 19 c) 109 d) 153 e) 187

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Q: Determine the general solution of xdy + ydx = 0. (A xy = c^x B) y =c (c) x = c D) xy = c

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Q: 1. Find the general solution for each of the following Cauchy-Euler equations. (a) x²y"(x) + 3xy'(x)...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: IV. Solve. Round to 1 decimal place when appropriate. 7.) An h-meter telephone pole casts a x-meter ...

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Q: 2. Calculate the value of x, y and z. (Use Gauss-Seidel Iteration) 12x + 3y – 5z = 1 x+ 5y + 32 = 28...

A: We have to solve the system by gauss Seidel method.

Q: 1. Determine the Fourier series of the following 17 (1|5) fle) = lo d>5) a. 15 (-7sts7) o otherwise ...

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Q: Let L be the line in R3 through the origin and the point (1, 2,3), and let T: R3 R³ be the linear tr...

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Q: determine its root using secant method. Start with two points, x1 = 0, and x2 = 1, and carry out the...

A: Formula for secant method  xn+1=xn-1 -f(xn-1)xn-xn-1f(xn)-f(xn-1) If roots lie between x=x1  and x=x...

Q: e. 2 v-1/8

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Q: Five paracetamol and a sodium ascorbate cost Php 87.00. A paracetamol and five sodium ascorbate cost...

A: Given Five paracetamol and a sodium ascorbate cost Php 87.00. A paracetamol and five sodium ascorbat...

Q: 6. " If Alexander exists or x? – 2x + 1 = 0, where x = 1 then it is not true that 1+1 = 3 and mouse ...

A: This is a problem of propositional logic.

Q: 2. A student is to answer 10 out of 13 questions. Find the number of choices where the student must ...

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Q: Suppose that you add 3 to all observations in a sample. How does this change the sample mean? How do...

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Q: Question 8 Find the order and degree of the following differential equation. 7(d*y/dx4)2 + 5(d?y/dx2...

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Q: Problem I. Given z, = 3ell76), z2 = 2eiT/4), find: 4. Z,/Z2 5. Z, *Zz* 6. z,3

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Q: 1. Evaluate: e 3z I = dz (e² + e5z)2

A: given integral I=∫0∞e3zez+e5z2dz claim- evaluate the integral

Q: Which of the following numbers can be the order (aka the number of elements) of a finite field? 701,...

A: The number of elements of a finite field is called its order or, sometimes, its size. A finite field...

Q: How many roots of the given polynomial? 2 -6 -4 -2 -2 3 -2 1 2.

A: Consider the given figure. Definition of the root:- The roots are the points where the function cro...

Q: Solution of dy/dx + 2xy = y is A. y = ce" B y=ce**-x y = ce y=ce-

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Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

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Q: Solve (4xy + 3y2 – x)dx + x(x + 2y)dy = 0 with y(2)=2 . Solve (x²D? + xD – 1)y 1+x2 Obtain f(r) as a...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: 3 Expand (2x? + 3)° 3 Expand (5x° + 5)°. 3 Expand ( 4x 25 +11) 3 4 Expand (* + 20) 3 Expand ( + 2 2 ...

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Q: Answers: Vector F= (440 lb)( i i+ i j+ i k) Scalar components Fx = i Ib Fy= i Ib Fz = i Ib

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Q: Consider the function f : Nx N → Z given by f(n, m) = 2n · m² – 1. What is the image of f? Prove you...

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Q: Question 6 Evaluate 30 Z 80° 10 Z 50° A) 34130° B 3230° 202130° D) 20230°

A: The given problem is to evaluate and simplify the given complex expression and express the final ans...

Q: Q4. The optimal simplex tableau for a maximization problems having two < type constraints and non-ne...

A: We will use basic knowledge of linear programming to answer this question.  

Q: Let f(x, y) = x³ + y³ + 21æ² – 12y² – 1. List the saddle points A local minimum occurs at The value ...

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Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of a...

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Q: Prove that if a is a positive integer, then 4 does not divide a2 + 5.

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Q: The APY for 6.5% compounded continuously is %. Give answer as a percent rounded to one decimal place...

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Q: Question 16 Which among the choices is linear differential equations? dy -+ycosx= sin x dx a. d*y %3...

A: The general form of n-th order linear differential equation is  (dny/dxn) + P1 (dn-1y/dxn-1) + P2 (d...

Q: Values of f(x, y) are shown in the table below. x = 2x = 2.1 x = 2.2 y = 3 9 10 13 y = 3.3 8 9 10 y ...

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Q: 1. Suppose that f is analytic on a domain D and Vz € D,f'(z) = af(z) for some constant a. Show that ...

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Q: 5. Decide which of these integers is congruent to 13 modulo 17. a) 81 b) 18 c) -38 d) 83 e) -11

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Q: Find the root/s.

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Q: au buv u — — су + duv

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Q: 2. (a) Write one of the four vectors 3. 8. as a linear combination of some or all of the others. (b)...

A: a

Q: 1. Let z and w be complex numbers. (a) Show that |1+ z w² + |z – w2 = (1+|z|?)(1+ |w/?). (b) Show th...

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Q: d n=0

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Q: II. Find the area of A ABC with the given measurements. Round to 1 decimal place. 6.) B = 130°, a = ...

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Q: Amount of deposit, $ (x,) 750 2500 3000 6000 12500 Number of depositors (n;) 96 107 130 89 78 Round ...

A: Sample mean is the measure of center of the data. It gives the overall observation of the behavior o...

Q: dy What is the general solution to the differential equation x = x + y? dx y = x In|x|+ x + C y = x2...

A: The given problem is to solve the given differential equation, we can use substitution method to sol...

Q: QUESTION 3 Mrs. Smith conducted a survey to find out what kinds of pizza toppings her students enjoy...

A: Mrs. Smith conducted a survey to find out what kind of pizza toppings her students enjoy.

Q: '7 · (µÃ) = Vq · Å + øỹ · Å "A V × (pÃ) = Vq × Ả + wỹ × Ã a. b.

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Q: 4. All are examples of propositions except x+7 = - 3, if x = 12 x + y = y +x, for every pair of real...

A: We have to find which is not an example of proposition.

Q: 14. (a) Is 2 C {2, 4, 6}? (b) Is {3} E {1, 3, 5}?

A: Introduction: Subsets are a subset of the mathematical concept of Sets. A set is a collection of obj...

Q: Derive the expression of cot-'(2). Find the principal branch of the multiple valued function log(2z ...

A: We will be solving Q.4 as mentioned. (a). Let cot-1z=w, therefore cotw=z. Now consider: z=cotw=cosws...

Q: Exercise 8.7.14. (a) Prove that any inverse of a bijection is a bijection. (b) Show that the inverse...

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Q: [16 6 5 12 If we multiply matrices B =|1 11 and C = |-9 1 -5 , which of the following is 8 14 6 -11 ...

A: Given B = 16-711138andA = 6512-91-5146-11

Q: ·x+yi dz Vaz + b

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.