(1 point) Use the method of undetermined coefficients to solve the following differential equation: y" + 4y = 4x +C₁ Answer: y(x) +C₂ NOTE: The order of your answers is important in this problem. For example, webwork may expect the answer "A+B" but the answer you give is "B+A". Both answers are correct but webwork will only accept the former.

Q: Example 9.14. Solve yy + (x + 2)y + xy + x² + 2x + 2 = 0.

A: Please find step by step solution below:

Q: 1.4 Compute the value of ₂ (sin x − log x+.e* ) dx using Simpson's th rule. 8 0.2

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Q: 3. Find the maximum and minimum values of z-a - 1 āz on |2 <1 (where a with |a| < 1 is fixed)

A: Given: z-α1-αz To find: Maximum value

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Q: Use Simpson's Rule to evaluate the following. n = 10 3 1 dx -3 1+x²

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Q: d plans to increase output eks 1; 5; 10; 15. Estimate t

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Q: Question (2): Let f,g: R R = R- 0 be any continuous functions. are they homotopic?

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Q: Find the general solution of the ODE. y" +9y = 6 cot²3x

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Q: 1. Let x, y R" be given. (a) If ||||||y|| = 1 and z-y = 1, show that x = y. (b) If |||| ≤ 1 and y||…

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A: This is a problem of Abstract Alhebra.

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Q: 3cos(6x)

A: 3cos(6x) we know formula cos2A=1-2sin2A and Sin(3A)=3SinA-4Sin3A

Q: A 25 C 75 3 ull₂ = 8,ab= 25 then (a + b)2²= B 100 D 50

A: The solution is given as

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Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate. dx 1) So √1+x² n = 4 se as Ars

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 3. Find the maximum and minimum values of z-a 1 āz on |z| ≤ 1 (where a with la| < 1 is fixed)

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Q: M O 82 63 R

A: Given figure as, Here, MQ and NR are diameters and the indicated measure as arc PQ=?

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