i) Obtain the complete and singular integrals of : = px+qy+ pq . -3t ii) Find the Laplace transform of r'e cos 4t.

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A: Given y'=4y3x with y1=1 Here, x0=1, y0=1 (a) We will find the value of y2 by Euler's method with a s...

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Q: 1. 0.001n³ – 1000n² log n – 100n + 5 O (n³).

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A: Gauss- Jordan Method is used

Q: 1. Determine for y(s) if y(0)=3, y'(0)=-2 and y"(0)=7 dy dy dy +5 + 6- =D0 dt dt3 dt2

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Q: that to Sulve the fullowig Apply Jucobis equatisns me =4-5 yu=1-6 - 4 +37

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Q: Q.1 Put the D.E (x – 1)y" + 4.xy' + Ay =0 , in self-adjoin form .

A: If the diiferential equation is a0xd2yd2x+a1xdydx+a2xy=0 then its self-adjoin form will be ddxpxdydx...

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Q: Using Simpson's 3/8th rule, evaluate the following integral with 6 sub-intervals -2 (x+1)dx x2+2x+2"

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A: Let x1 = a, x2 = b, x3 = c So given equations are5a - 2b = 18-2a + 10b - 2c = -60-2b + 15c = 128

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Q: Express the function in unit step and find the Laplace: (-10 0 n

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Q: A Fnd

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Q: 6000 5000 4000 3000 2000 1000 1000 2000 3000 4000 5000 6000

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Q: Find the inverse Laplace transform of 720/(s-5)^7.

A: using know results of inverse Laplace transform.

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Q: My sequence has the following terms: -100, 1000 3 10000 20000 1000000 31 Reply

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Q: Solve the given differential equation by using the Annihilator method 50. y" + 3y' – 10y = x(e* + 1)

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