Solve the differential equation (21xy + 21y²) + (7x² +21xy) y = 0 using the integrating factor u(x, y) = (ry (10x + 15y)) ¹. NOTE: Do not enter an arbitrary constant.

Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x² - 8x - 20

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A: Table is given

Q: Find the Inverse Fourier transform of Tre-la.

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Q: Find the general solution of the system whose augmented matrix is given below. 1 -7 0 -1 0-2 10 0 -5…

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Q: Solve the differential equation (24xy + 40y²) + (8x² + 40xy)y' = 0 using the integrating factor µ(x,…

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Q: 1. Ir Y= 4 In (In (In(sec(x)) then Y =[4 (tan)/{ In ((In (sec)) In (sex)}] O True O False

A: Y=4lnlnlnsecx remember chain rule ddxlnfx=1f(x)ddxf(x)

Q: nosibe [A2, C1] You successfully climb the tower to save Mr. Henville, but a magical wind blows and…

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Q: Find the general solution of the linear system whose augmented matrix is 1 1 2 1 1] 4 4 9 5 5 x1 =…

A: The given augmented matrix is: 1121144955 Find the Row-echelon form of the matrix.

Q: A² = x²y 2 + 2y = y + 3 z ³² x ² 2 5 근 SD • A dv = ? (Do > y 2 - 2 d 1 divergence)

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: Take the Laplace transform of the following initial value problem and solve for Y (s) = {y(t)}:…

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Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

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Q: ) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the following:…

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Q: a) Find the root of the equation f(x) = 2cosx-x² to 2 decimal places using the Newton-Raphson…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer only in type written…

Q: this question and subsequently, let a₁, A2,..., a5 denote these numbers: 2,2,1,7,3 Let X denote the…

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Q: 3. Write the exact differential: f(x,y)=e-y-el-

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Q: Question 2 A man had 3 children Ama, Fiifi and Ebo, whom he gave an amount of 8000 to be shared…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Find the length of arc of the curve y = √sec²t - 1 dt from the point where x = -to the point where x…

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Q: e² sin y − 2y sin x) + (e² cos y + 2 cos x)y' = 0

A: Solution to the differential equation

Q: Problem 2. Let U = {a+bx+ca²+dr³ € P3 (R): a-b+d=0}, 2(i) Find a finite subset S of P3 (R) such that…

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Q: A matrix could have two  row echelon forms with different pivot positions.  true or false

A: We have to check whether the given statement is true or false.

Q: Cook Security Systems has a $37,500 line of credit, which charges an annual percentage rate of prime…

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Q: 3x²y dx (x³ + y³)dy = 0, y(1) = -2

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Q: Consider the following equation system, [13 9 7 4² 22 30-4 12 2 y = 6 1 15] i) Solve the equation…

A: As per our guideline, we are supposed to solve only first subpart. Kindly repost other subpart as a…

Q: of the function. 4. Find the Fourier transform of of 1/(1+t²).

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Q: 5 Estimate the magnitude of the error involved in using the sum of the first four terms to…

A: The given series and the sum is given as follows: 11+t=∑n=0∞-1ntn, where 0<t<1 Check whether…

Q: A/HM-012 is a matrix then find the M. M 3 4 5 8 ( :) 86 14 149 23 O 1 2 14 23 5 23 50 86 14 50 86 :)…

A: If A=abcd, then AT=acbd.

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A: To Determine: which of the given options are false.

Q: Write a division sentence for each

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Q: 6. Find the transition matrix from basis B to basis when B has elements u₁ = (-2,-2) and u₂ =…

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Q: 10. Compute the central difference approximations of O(h^4 ) for the first derivative of y =cos(x) +…

A: Given  y=cos(x)+sin(x) Differentiation with respect to x, we get y'(x)=-sin(x)+cos(x) At x=π…

Q: Exercise (7) 1.Find the roots of the equation f(x) = x³ - x - 1 using x₁ = 1 For 4 iteration by…

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Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: Solve the equation using Gauss Seidel's method until 5 iterations. 5x₁ - x₂ + 2x3 = 12 3x₁ + 8x₂ -…

A: Given: The system of linear equations, 5x1-x2+2x3=123x1+8x2-2x3=25x1+x2+4x3=6 To find: Solve the…

Q: 4. Solve the following Binomial problems: a) Find the expansion of (a + b)² b) What is the…

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Q: 4. Suppose that u(x, t) is defined by a PDE and by initial values (at t = 0): du + to,u= u for all…

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Q: Below is the partial order diagram of D42. What are the immediate predecessors of 14? 21 14 6 1 7.

A: Given: Partially ordered diagram of D42 is given below: To find: Immediate predecessors of 14.

Q: Determine the dimension of the span of each set. 6 12 A = span -({8·3·0)) 2 1 4 20 10 40 5 (E)·8·8))…

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Q: What is the domain?

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Q: Let S = { 1 - (-¹)" | n € N}. Determine inf S and sup S. Justify. n

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Q: Let A E M₁ (R) be the matrix d₁ d₂ d3 d₁ 0 1 1 1 A: 1 0 1 1 1 1 0 1 where the first row consists of…

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Q: The general solution of the system of coupled equations2r+ay, be + cy can be written as [6] [³₁] +…

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Q: 1. a) Define order and degree of a differential equation with example. dy b) Solve: (x+ y)² =a². dx…

A: As per our guideline, we are supposed to solve only first subpart. Kindly repost other subpart as…

Q: Question 14 Determine the value of 60 for which lim (3-1)-47 X-4 Ⓒ 6-max(-4-√/16-.-4+ √/16+)…

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Q: 2. The value of O True O False -¹2 is 11 13 13

A: Follow the steps.

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Q: Explain in word what conditions must hold in for a particular inconsistent system. What are the…

A: To explain: Conditions to be hold for a inconsistent system and methods to verify it.