Given the following initial-value problem: dy dt di² y(1.5)=1. y'(1.5)=1. Determine numerically the value of y(2) by using the 4th-order Runge-Kutta method with h=0.5.

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A: From the given data, In a survey of 80 people, 35 people read newspaper H 20 people read newspaper T…

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Q: 8) y=x²+2x+1 and y = 3x +3 d The area of the plane region is?

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Q: 4 1) L-^ { 2x-3 5²-4x+8.

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Q: 5. The linear least squares approximation which best fits the curve y= |x | over the interval -1 ≤x≤…

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Q: Choose the connect one (1) L[Jo (at)] = p²+9² مد The

A: Solution 1: Since we know J0(t)=∑r=0∞(-1)r22r(r!)2t2r⇒J0(t)=1-t222+t422·42-t622·42·62+...…

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Q: Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the…

A: Sol First Method:-   Le-7tcos3tApply transform rule:  if Lft=Fs then  Leatft=Fs-a

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Q: e order of the given ordinary differential equation, and classify it as linear or non-linear. 2 (n)…

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Q: . Use the result obtained in (i), and the method of Laplace transform to solve the following initial…

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Q: L {y" + 2y²-3y=0} where; y(o)=0 y'(o) = 2

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Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

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Q: Recast the system of higher order differential equations as a first order system. u""=2u-3v…

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Q: Let R={(x,y) ERxR: |x| = |v|). Then R a function on R. оо True False

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Q: Find a differential equation whose general solution is y = c₁et + c₂e-4t . = 0

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Q: 1 1. The system of linear equations Dx=c, where D= 1 H we change c3 by 0.002 and d22by 0.001. has…

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Q: The lower triangular matrix L in the LU decomposition of matrix given below is 25 5 1 0 111 112 113…

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Q: 25. Proof Prove that if A and B are similar matrices, then |A| = |B|. Is the converse true? Answer…

A: Here we use the properties of determinant of matrices to answer the question as follows.