QUESTION 3 x> 0 Given that Y1 = X is a solution of x2y" – x(x+2)y' + (x +2)y = 0 for solution using reduction of order method. Find the second (5 marks)

Q: Find an antiderivative F(x) of the function f(x) = - 2x²5x + 2 such that F(0) = - 15. F(x) = Now,…

A: On solving this we will get

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A: Explanation:Consider the term t1/3.It is known that adding and subtracting a same number to any…

Q: 1 dx - 9 1.

A: ∫1ax+b dx = 1alnax+b+C

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Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

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Q: at x+v11(t-s) 1 (e)ªdyds 2/11 x-/11(t-s)

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Q: The general solution of xy" - xy' + (24x* – 24 y = 0, is .a - C,xY,(2 /6x) b O C,xJ,(2 6x) +…

A: We have to find the general solution of the differential equation…

Q: partial

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Q: x' +5 dx 6. x' - x + x +3 3 |

A: Use partial fraction  for solving integral.

Q: 6. Solve 6. Solve (a) 4x + 3y = 28 2x + 5y = 42 the system Ax = d by matrix inversion, where (b) 4x1…

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Q: Differentiate y = 2sin? (x³) + 3x and evaluate y (0). Enter the value y (0) in the box and upload…

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Q: solve ∫ 1/((x+2)^2(2-x)^2) using partial fractions

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Q: 5.Jf(x) =- 3x + 7 g(x) = 2x - 8 Find f(g(x))

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Q: Hi I have a few questions on my home work! (1 point) Determine coefficients ?a and ?b such that…

A: Consider the equation

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A: Please see the explanation below

Q: Differentiate y = (2x + 1)°(x³ – x + 1)*. Solution: In this example we must use the Product Rule…

A: Given:- y =(2x+1)5(x3-x+1)4  To find:- Derivative of y

Q: 6 C° + 7x° + 15x*+32x³ + 23x² + 25x – 3 dr )²(x² + 1)² 4 (x¯+x+ 2

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Q: Using partial fractions, we can rewrite the equation as 1 dN = dt rN 50000r - rN dN Or rN 50000r –rN…

A: Here we have to use the concept of integration.

Q: h Ex) = 2000-0.32X K(X) = Jx2-8 m(x)=5+7x 3 %3D Em worl.mg 00: is behve hoKonm

A: h(x)= 2000 - 0.32x k(x)=√(x² - 8)  m(x)= 5+7x³

Q: S(x) = 2x" + 4x + 2x + 1 g(x) = (x + 1) Find (fg)(- 1)

A: Given  f(x) = 2x3+4x2+2x+1 g(x) = (x+1)   We have to find (fg)(-1).

Q: 4. Consider the exponential function y = -3-2-*+5 a. Algebraically determine the exact value of the…

A: "Since you have asked multiple questions , we will solve the first question for you. If you want any…

Q: 4х + 1 (Зх — 1)(x2 + 2х + 2) (3x

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Q: i) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep…

A: The function that represent the spreading is given as Nt=45011+249e-0.1 t. (i) Obtain the number of…

Q: Solve the following ODE y +2Y +y=x + ex (C1 + x C2) e* + (x-2) + e²x / 9 .a O (C1 + x C2) e* -2 +…

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Q: Solve by partial fraction 7х — 5

A: Given: The integral is ∫7x-5x3+x2-6x dx .

Q: 9.

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Q: (x2 + 3) dx 46. (x2 + 2x + 3)2

A: