Find the general solution of the differential equation y" + 2y + 5y = 4 sin(2t).

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A: Given function is v(t)=0.250t4+0.166t3-0.500t2 In interval [0.3; 0.7] Here v(0.3)=-0.0385<0…

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A: We solve the given DE y"+2y'+y=e-tln(t) .......(1)

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A: We solve by Newton Raphson Method.

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Q: e-SP(x) dx x²(x) as instructed, to find a second solution y₂(x). 6y"+y¹ - y = 0; Y₁ = ex/³ Y₂ 11 Y₂…

A: Given DE is  6y"+y'-y=0 .......(1) Also given y1=ex/3. We find y2(x).

Q: 24. Solve the following integral using substitution method: f8x√2x² - 1dx

A: Sol:- ∫ 8x2x2-1dxTake the constant out:  ∫a·fxdx=a·∫fxdx=8·∫ x2x2-1dxIntegral Substitution…

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A: As per the question we are given an improper integral from 0 to ∞ of the function 1/(x6+1) And we…

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A: y''+3y'+2y=16+ex we have to solver above differential equation using variation of parameters.

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Q: 1. Consider the matrix and and Monde Cole 2022 202) Mesh Colleg 202C) Mona that 1 1 0 101 0 1 1 Mo…

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A: We have to find the homogeneous linear differential equation with constant coefficients whose…

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Q: MA [ ;] and [ ; ; ] B 37 a Calculate AB by hand and verify your answer using a CAS/calculator. b…

A: As per Bartleby rules we have answer only first 3 sub parts.

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Q: Define the binary operator* by: a+b = a +8b and V by: aVb=6 Find the following. When simplifying,…

A: Given operators: a * b = a + 8b   .......(1)  a ∇ b = 6    .......(2)

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Q: A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to the end of…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: olve the differential equation by variation of parameters. y" + 3y + 2y = 1 4 + ex

A: Solution of the differential equation using variation parameter method

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Q: Tutorial Exercise Consider the differential equation x²y" - 7xy' + 15y = 0; x³, x5, (0, ∞0). Verify…

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A: I have given the answer in the next step. Hope you understand that

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Q: Suppose T: M₂,2→R¹ is a linear transformation whose action is defined by a+5b+3c+2d -a-5b-3c-2d…

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Q: Day 2 MATH INVESTIGATION Investigate the trend of the graph of equation write your answer in your…

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Q: •S O CO3 MX ox (x+9²) (x+b23 dx ans: ㅠ 93b2 -bm am e e (음 - 등) a

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Q: 6. Evaluate the following real integrals by residue theorem 3 211 • 1 = √√ 201₂ do 0+2sing +3 ans o…

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Q: Find the solution of the given initial value problem. 5y"" +45y' - 1350y = 0; y(0) = 10, y'(0) = 45,…

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Q: Find the general solution of the given higher-order differential equation. y"" - 6y" - 7y' = 0 y(x)

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A: To find the point of intersection of the ray and the plane. Given: equation of ray is: r(t)=o+td…

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Q: Name the function of the graph below: -T/5 -4- 3- 2 0 --1- --2- --3- -4 f(t) = 3 cos (5πt) f(t) = 5…

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Q: 4 Andrea needs to buy many light globes of two types, Bayonet (B) and Screw-in (S). as part of her…

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Q: QUESTION I a) Find the domain and range of the function 3 b) Ifw-/(..), where p--.--. and r that 10w…

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