Solve the given non homogeneous linear ODE by variation of parameters x²y + xy'-4y=1/x²

Q: x² + y² max x,y subject to: x² + xy + y² = 3

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Fill up the following table for your answers Bisection Method Iteration # 0 1 2 3 4 5 6 7 a 0…

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Q: Convert 14 ft to fluid ounces. Round to the nearest hundredth if necessary. First fill in the blanks…

A: We know that the units in numerator and denominator cancel out. So if ft​​​​​3​​​​ is present in…

Q: b. Use the graphs you have drawn to complete each statement: y=x-6 y=-x+5 a. The solution set of the…

A: (a) Draw the graphs of each equation. L1:y=x3-6L2:2x-6y=-6L3:y=-10x3+5L4:3x-9y=54

Q: 4. This diagram represents 3 batches of light yellow paint. Draw a diagram that represents 1 batch…

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Q: Q-1)Find the optimal solution for the Lpp below by using the graphical method ? Max z=X1+X2 S.TO…

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Q: Suppose f: X→Y, and A, B CY. Prove that (a) f-¹(AUB) = ƒ−¹(A) U ƒ−¹(B). (b) f-¹(ANB) = f¯¹(A) n…

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Q: Find and classify the critical points of z = (x² − 2x) (y² – 5y). Local maximums: Local minimums:…

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Q: et f: X → Y be a function. For any subset A C Y, let ƒ-¹(A) be the re-image of A in X. Show that…

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Q: 2. Let ABC be a triangle with AB = 3, BC = √3 and CA = √√3. Let XYZ be a triangle with XY = 3√3, ZX…

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Q: 1 m(x) 4+4x³22x²+48r Mang Gustin observed that when he uses a units of fertilizer, he is able to…

A: The double derivative test is used to optimize (maximize or minimize) a function. Follow the steps…

Q: Solve the given system of differential equations by systematic elimination. dx =-y+t (x(e), y(t)) =…

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Q: Consider a function ƒ : R³ -> R³ 2x1 + 7x2 - 9x3 ƒ(|x₂|) = ON x1 - 5x2 + 2x3 x2 + 3x3 x1 x3 Is the…

A: A function f(X) that satisfies the superposition principle is called a linear function.…

Q: Problem 5. Prove that n! > 2" for n ≥ 4.

A: Mathematical Induction is a mathematical technique which is used to prove a statement is true for…

Q: Find T(v) by using (a) the standard matrix and (b) the matrix relative to B and B′.T: R3→R3, T(x, y,…

A: We know that ℝ3 is the vector space of three tuple of the form a, b, c, where a, b and c belong to…

Q: Consider the matrix A defined as follows: 0 1 0 A = 1 0 1 0 1 0 Solve for the eigenvalues and…

A: The given matrix is  A = 010101010

Q: Consider the integral , 3y - 4x 3 (3y - 4x) dA where R is the parallelogram bounded by the lines 3y…

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Q: Assume that the annual rate of inflation will average 3.8% over the next 10 years. a) Write an…

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Q: Solve for the convolution of g given that it is with itself (g*g) for g(x) = e-πt^2

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Q: ve That The Scaling nmutative.

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Q: Consider an N x N matrix A  with N orthonormal eigenvectors xi such that Axi = λi xi  , where the λi…

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Q: A = 1 1 10 Го 0 1 0 1 0 Consider an Nx N matrix A with N orthonormal eigenvectors x such that Ax' =…

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Q: Evaluate ₁ (42³ + 3y² + 2x)dV {(x, y, z) | 0≤x≤ 8,0 ≤ y ≤ 8,0 ≤ z ≤9}. B

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Q: Solve the given initial-value problem. =-11x-y = - 25x-y x(x) y(t) de de x(1) = 0, y(1) = 1

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Q: If Tessa's age fifteen years from now is divided by her age fifteen years ago, it will result to the…

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Q: 2y" + 3y' - 2y = 3xez* - 2sinnx (Use Method of Undetermined Coefficients (MUC))

A: The given differential equation 2y''+3y'-2y=3xe12x-2sinπx. We have to find the general solution…

Q: Problem 8. Let the "Tribonacci sequence" be defined by T₁ = T₂ = T3 = 1 and Tn = Tn-1 + Tn-2 + Tn-3…

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Q: 14. {x, xe*, 1} on (-∞, ∞ )

A: 14. The given set of functions is x,xex , 1 where x∈-∞, ∞ Here we are trying to show that the set is…

Q: Determine whether ?: ?^2 → ?^2, ?(?, ?) = (? + ?, ? − ?) is a linear transformation

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Q: For the given function, (a) find the slope of the tangent line to the graph at the given point; (b)…

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: 346. The solid Q is bounded by the cylinder x² + y² = a², the paraboloid b² -z = x² + y², and the…

A: To find: Mass of a solid Q which is bounded by x2+y2=a2 and paraboloid b2-z=x2+y2, where density of…

Q: The solution can be written in the form d'y dt² 14 dy dt +49y0 y=C₁fi(t) + C₂fz(t)

A: Given differential equation is :- y''-14y'+49y =0 we have to calculate the general solution of the…

Q: Let (sn) be a sequence such that |Sn+1 Sn| <2" for all ne N. Prove (sn) is a Cauchy sequence and…

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Q: 1. Let A a, b, c, d. Consider the following relation on A: (a) Draw a diagram of R R-(b, b), (b, d),…

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Q: 10. Recall that at the beginning of the semester we spoke about how to tell whether a given graph in…

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Q: Find the Jacobian for x = u²+ 7uv and y = 7uv². Jacobian (equation format) - Hint: The focus of this…

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Q: Calculating First-Order Partial Derivatives In Exercises 1-22, find af/ax and af/ay. 17. f(x, y) =…

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Q: Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the…

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Q: Find SS₁² z dV, where E is the solid tetrahedron with vertices (0,0,0), (4,0,0), (0,3,0), and…

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Q: f d a h C 6.0 g e b

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Q: (b) Let a, b, n € Z, where n ≥ 2. If a² = 6² (mod n), then a = b (mod n).

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Q: Consider a dynamical system: dx dt = y + 2xy dy = x + x² - y² dt Select the only true statement:…

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Q: A tank initially contains 200 kg of salt in 1000 L of water. At exactly 10:00 am, pure water started…

A: Since you have asked multiple questions here we will solve the first one for you. To  get the…

Q: -10 -12 -17 49 204 A matrix A= -10 -16 -16 51 reduces to 0-4 1 4 -18 -24 -30 89 0002 Find a basis…

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Q: Problem 2. Prove by induction that, for every n ≥ 1 1 εἰ(i + 1) i=1 = η n+1

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Q: Consider the matrix A defined as follows: 0 1 0 A = 1 01 0 1 0 Solve for the eigenvalues and…

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Q: Write y(t) = 2 sin 4πt + 5 cos 4rt in the form y(t) = A sin(wt + p) and identify the amplitude,…

A: Let us consider the equation y=A sinwt+∅ Here, A is amplitude, w is the angular frequency and ∅ is…

Q: The following proposition is clearly wrong. Provide a counterexample, and explain what is wrong with…

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Q: 4. Use the tree rooted at A to answer the following questions. K E L B F M O H N O Q R (a) List the…

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Q: The sum of two numbers is sixty-two. The difference between their squares is nine hundred…

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