Obtain the general solution to the equation. (x² +19) dy dx + xy - 2x = 0 The general solution is y(x) = ignoring lost solutions, if any.

Q: (D²-2D+5)y=e* cos x

A:

Q: B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y² itable graph and…

A:

Q: 1) Solve for y" + (cos x)y = 0, given that cos x can be represented 1 2! + + 4! as a series of .…

A: Solution : Given, y"+cos(x)y=0 Let Expanded form of y is , y=∑n=0∞Cnxn y'=∑n=1∞Cnnxn-1…

Q: 3. How would you find the total volume of the discs shown in the shape below (assume each disc is…

A: The volume of a cylinder is given by V=πr2h Here, r is the radius and h is the height. Now, the area…

Q: მს For the function (x, y) = √√x²y², we have that 8 (0,0) = 0 and (0,0) = 0. From this, it follows…

A: As per the question we are given an argument about the first order linear approximation of the…

Q: Calculate the energy coefficient from the first order if the infinite potential box is as uneasy as…

A: Given: φn=2LsinnπxLφ2=2∂Lsin2πx2L To find: Solution

Q: (a) Assume that g(x, y) is a function of the form g(x, y) = {" 0 if (x, y) = (0,0). (i) Show that…

A:

Q: Let f(x) be a function given by f(x) = { (a) Prove whether f(x) is a Dirichlet function. (b) Find…

A:

Q: (D² -1)y=2(1-e-2x)-1/2

A: Solution: Given a differential equation D2-1y=21-e-2x-12 Now, the characteristic auxiliary equation…

Q: Question 5 ( T A manufacturer assembles personal computers. If the computers are priced at £1,000…

A:

Q: 6 7x Find a simplified series representation of e Σ answer = n=0

A: To answer the given question we will use the following series     ey=∑n=0∞ynn!

Q: 3. Consider the functions_f(x)=(x-a)(x−b), g(x)=(x−p)(x−q)_and_h(x)= g(x) If a‡b‡p‡q, then a) which…

A:

Q: ) Check the differentiability of the function f(x, y) = √√xy | at the point (0,0). Also check the…

A:

Q: Use the Divergence Theorem to evaluate ff F-n do where S F(x, y, z)=(x² +cos yz, y-e², z² + x²) and…

A:

Q: Q2. a) Calculate the 4th roots of (5-j3)

A:

Q: m Squares = 2 SSA = ? = ? SSB 220 1) 8 SSAB? = 30 SSE=? (Variance) MSA MSA = 80 MSB = ? F MSAB 10 F…

A: Given that, Source Degrees of freedom Sum of squares Mean square F

Q: A mark of at least 50 is required to pass a course. The marks this year run from a low of 45 to a…

A: Solution:   Required marks to pass = 50. Marks this year goes from 45 to 83. Let X1, X2, X3,...Xn be…

Q: 1. How many grams of a drug are there in 850 ml of a 1 in 130 w/v solution ? state andwer to 3…

A: Note: according to our guidelines we can answer only first question  1)   Given solution is 850 ml…

Q: Prove that = z² +E=o(-1)" (n + 1) (²22)", where |z-21 < 2. 4

A:

Q: 3.) Evaluate ff cos(x-y) sin(x+y)dA, where R is the triangle with R vertices (0,0), (-л,π), and (,)…

A:

Q: 40. When a vertex Q is connected by an edge to a vertex K, what i the relationship between Q and K?…

A: This is a problem of graph theory.

Q: Jse chain rule to differentiate the following 1 y = sec+ (√x+; )

A: Differentiating given function below

Q: ii) in triple cross of vectors (A × B) × C = C × (B × A). iii) A is 2 x 2 unit matrix, B inverse of…

A:

Q: Prove the following by using induction: 1(1!) + 2(2!) + 3(3!) +...... + n(n!) = (n + 1)! − 1, for n…

A:

Q: 41. Vertex e is OA) an incident vertex OB) insecure vertex OC) isolated vertex OD) adjacent vertex

A:

Q: “Assignment problem is a special case of transportation problem where the number of sources is equal…

A: To discuss: Assignment problem is a special case of transportation problem.

Q: Q2) Let(M₂ (R), +..) be a ring. Prove H = {(a) la, b, c = R}is a subring of (M₂ (R), +..).

A:

Q: - - 2xy' + y = 0 . Final answer must Show the series Solve for- y until term of X7.

A:

Q: On the set X = (1,2,3,4) find the relation R1 which is not reflexive is symmetric, is not…

A:

Q: Discuss using appropriate mathematics the properties and assumptions underlying the OLS technique,…

A: We need to discuss the properties and assumptions underlying the O.L.S.(Ordinary Least Squares)…

Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…

A: given :- f(x) ={ 0                 for   -π≤x&lt;0,            {sinx          for     0≤x≤π.   a)…

Q: Question 7 Trigonometric Identities Prove TWO of the trig identities below [ (a) cos A-cot A 1-sin A…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Let p>5 be a prime number prove that expression p^4-10p^2+9 is divisible by 1920.

A: A top wide variety is a herbal wide variety large than 1 that isn't always the made of lesser herbal…

Q: 3) By changing the independent variables x and y to u and v by means of the relations u xay, v = x +…

A:

Q: c) Find the surface area generated by rotating the curve y = (x²+2)³/2, 0≤x≤3 about the y-axis.

A:

Q: (a) Find the Fourier series of the 2π-periodic function f(x) = x² in - π < x < 1. -2<x<2 else a, (b)…

A: a Given function is fx=x2on −π&lt;x&lt;π. We have to find the Fourier series of the given function.…

Q: •+0.5+/ Determine area the top and all side of a platform below. Note// Parallogram shape 6m 2.65m…

A:

Q: 1. Find the determinants of the following matrices using Laplace Expansion and Triangular matrices…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 3. Find the fixed point(s) of f: [1, ∞)→→ [2, ∞) defined by f(x) = √²+x.

A: 3) To find: fixed points of f:[1,∞)→[2,∞) defined as f(x)=x2+x.

Q: Show that the interval of convergence of the series n=1 1 << √2 √2 27-12-1 (4n - 3)² is given

A:

Q: entiate the following y = sec¹ (√x- 1 + 3)

A:

Q: (c) Let D be a square with sides 0≤x≤ 2 and 0 ≤ y ≤ 2. Estimate the following integral ff (x + 1)"…

A:

Q: (a) Assume that g(x, y) is a function of the form 2+y² g(x, y) = 0 if (x, y) = (0,0). (i) Show that…

A: As per our guidelines we are supposed to answer only first question's first 3 subpart. In this case…

Q: Find the power series of f(z) = z²ez, where |z| = 1.

A: The given function is                      f(z)=z2e-1z , where |z|=1. We know that the power series…

Q: ƒ.[y²e²³ dy 0

A:

Q: In a population of 400,000 people, 120,000 are infected with a virus. After a person becomes…

A:

Q: 2. If f(x) is an even function and g(x) is odd function, then a) f(x) g(x) is an function. b) f(x)…

A: Solution:-

Q: 1. Suppose you invest P5,000 at 10% simple interest. How much money will you have after 5 years? O…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: ) Show that the function defined by if (x,y) = (0,0), f(x, y) = { 0 if (x, y) = (0,0) is not…

A:

Q: Let x and y be functions of t. Find the general solution of the system of equations below by first…

A: