Prove that the equation is homogeneous and find the solution.

Q: General solution of (ylny − e¯xy)dx + ( + xlny) dy = 0

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Q: 17 The Joint pro. density functione 19 of two discrete discrete variable X and Y is given by P(X,Y)=…

A: Marginal probability of X and Y is given by PX=x=∑ yPx,yPY=y=∑ xPx,y

Q: 1. The value of (1.000)-27 is O 327 0.327 O 1.000 O Non of them (242²-121²) 242*121 O 1 O 2/3 O 11/3…

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Q: ) Solve by using Laplace transform the partial differential equation 2², a² y dt² =9. ox² y(0,1)= 0,…

A: Solution :-

Q: If a, b are complex constants and a real parameter, what does the equation z = a cost+bsint…

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Q: 2. Ifƒ (x, y) = log (x² + y²), then f +f, is equal to yy 1 (a) x² + y² (b) 0 y²-x² (c) (d) • (x² +…

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Q: Use Fourier transform to solve the partial differential equation: du d'u du(0, y) 01 du(x, y) əx " =…

A: Fourier cosine transform with respect to x Fcs=2π∫0∞fxcossxdx Inverse Fourier cosine transform…

Q: If f(x) is a polynomial of degree <3, f(a) a x-a

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Q: Can the graph G be orientable ? G:

A: We say that a connected graph is orientable if and only if every edge belongs to a cycle. We see…

Q: 2. Find the general solution of cos² x sin x dy + (y cos³x - 1) dx = 0

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Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution :-

Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: A connected graph G is said to be Eulerian if the graph G has a Euler circuit. A graph has an Euler…

Q: owing assertion: n

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Q: If a is a non-real complex nth root of unity, find the values of:

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Q: Let I (a, b) be a bounded open interval and ƒ : I → be a monotone increasing function on I. (i) If f…

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Q: 2. A particle of mass m moves in a force field whose potential in spherical coordinates is V =- (K…

A: Solution:-

Q: a) find the solution of the equation, using homogeneous equations. dy/dx = 2y-x/2x-y

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: Find the chromatic polynomial of G

A: Let us find the chromatic polynomial of G in the next steps.

Q: Solve using Jacobi’s Iterative Method

A: Given system is 56-3-2952-7-3412-1-743 x1x2x3x4 = -109-28

Q: /Solve the following Assignment problem using the Hungarian method.. 1 2 3 4 5 J1 8 3 7 6 2 J2 51 9…

A: To solve the given Assignment problem using Hungarian Method first we will take the minimum of each…

Q: 4 to onabans ! (0)0 4. Prove that

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Q: y" + y = sec x tan x

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Q: Q2/ The region bounded by the curve y = x² and the line y = 3x, in the first quadrant is revolved…

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Q: IF A=213 [1 2 3] and B= 3 2 1 L34 21 Find AB :

A: In this question, the concept of matrix multiplication is applied. Matrix Multiplication A matrix is…

Q: H.w: Find the Fourier series for the following functions: 2x 1+ 1 -π < x < 0 X 1- f(x) = 2x 1 0 ≤ x…

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Q: The sum of the radii of two spherical balls is 22 cm and the difference of their volumes is 2 3050…

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Q: 6. Let f(n)= o(n)/n. (a) Show that if p is prime, then f(p) = f(p). (b) Find all n such that f(n) =…

A: Introduction: Euler's Totient function is a mathematical multiplicative function that counts the…

Q: Let U and V be vector spaces over the field F and let T be a linear transformation from U into V.…

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Q: Use the given graph to estimate the value of each derivative. ya y = f(x) 0 1 (a) f'(0) 1 (b) f'(1)…

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Q: (b) for 3-3x³ dx

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Q: Solve the following system of equations by Gauss-Jordan in terms of k, then find the values of k for…

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Q: In a day, Julia can produce 12 bushels of wheat or 4 pounds of meat while Carlos can produce 10…

A: For the given question, we can simplify the problem by making a table,   Wheat O.C. (Wheat) Meat…

Q: L (7² +9) (2²+4)² x कर

A: Follow the steps.

Q: C, ++ +

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

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Q: Are the following deterministic or stochastic? Rolling a pair of dice Calculating your savings…

A: Solution

Q: If you borrow $2,400 for 4 years at an annual interest rate of 6%, how much will you pay altogether?…

A: When the interest is simple, then the formula used is A=P(1+rt), where, A is the final amount, P is…

Q: (i) Let A be an n x n matrix over C and II be an m x m projection matrix. Let z E C. Calculate…

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Q: 7/ Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

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Q: Show that the quadrilateral having vertices at (1, −2, 3), (4, 3, −1), (2, 2, 1) and (5, 7, −3) is a…

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Q: Use Laplace transform to solve the partial differential equation: d²u d²u du(x,0) = t> 0, 0<x<1,…

A: Solution

Q: Solve using Gauss-Seidel Iterative Method

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Q: If z₁ = 13-101 and 22-15 +91, determine the following: 42₁-522 (Polar Form) COMPLETE THE MISSING THE…

A: We have z1=13-10i , z2=-15+9i Consider: 4z1-5z2=413-10i-5-15+9i=52-40i+75-45i=127-85i Hence,…

Q: ng Task 4: Given the equation x² + y² = 9. Differentiate using implicit differentiation. Express y…

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Q: 1 If A 1 2 32 O True false is a matrix then A¹ = [13].

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Q: (a) Consider the feasible region in R² shown below (the red shaded region). 10 x+y=8 x+y=2 -3x - y =…

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Q: O Mother bought five kg of rice. She cooked 2 kg for lunch and 1 kg for dinner. How man D) 12/20 C)…

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? 1.2 1.7 1.5 0.4055…

A: Given:− To find: f'(1.5)

Q: 14. Assume that a matrix A has only zero eigenvalues. What is the Jordan-Normal Form of A? What is…

A: Given that matrix A has only zero eigenvalues. Jordan's normal form of A and the main diagonal of…

Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 12. F с A B C D E BADO В E A

A: The given two graphs are not equivalent