Find the value of X(1) for the initial-value problem X d.x dt x(0.5) = 1 2(t+1) using Euler's method with step size h = 0.1.

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Q: (9) 2z+p²+qy+2y² = 0 z = ax x² 2 2 +c + C₂ -2

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Q: OS: S ≤²≤ √√4-(2₂²2. that lies above th sing spherical coor

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Q: and the xy plane.

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Q: Consider the recurrence relation an = -2an-1 +15an-2 with first two terms ao = 4 and a₁ = 10. a.…

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Q: [7] Find the complex Fourier series of f(x) = COS X 1 0≤x≤ π, -π < x < 0.

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Q: 2. Prove that n² > 2n for n >2

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Q: 2x²y" − xy' + (x - 5)y = 0

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Q: (b) compute an estimate of x(1) for the initial-value problem dx 1+x x(0) = -2 dt sin (t+1)'

A: Problem is solved using second-order predictor-corrector method.

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Q: Suppose that f AR is continuous at a number a E A with f(a) > 0. Show that there exist numbers L and…

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