A u substitution has been used to evaluate the following integral. [ ²₁ f(x) dx = [₁, 2²( [²₁x² (7 + 2x³) ³ dx ? -1

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Q: 13. Let T, O E L(V, W). Show that rk(T+0) ≤rk(T) +rk(o)

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A: Here we use the integrating factor to find the solution of differential equation. And to solve the…

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A: Follow the steps.

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Q: 3. a. es ¸²-²5 S Find the inverse Laplace transform of each of the following functions. 5s² - 3s +31…

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Q: 투사 712 (-x)두 [(1-x) = (F-76 3.

A: This is a problem of Laplace Transform.

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A: Introduction:   To make it less hard or difficult; to make it simpler or easier To condense an…

Q: Find an explicit solution of the given initial-value problem. 2 y(6) = 6

A: Given : The initial value problem is ;  dydx = y2-1x2-1 ,   y(6) = 6. To find :  The explicit…

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Q: 3.) Consider f(x) = cos1.5x for xo = 0, x₁ = 0.11, x₂ = 0.22, x3 = 0.33, x4 = 0.44. Calculate f₂'…

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Q: The concentration of pollutant bacteria e in a lake decreases according to c = 70 e 1.5t + 25…

A: Given c = 9, then 9 = 70e-1.5t+25e-0.075t, we can rewrite it as f(t) = 70e-1.5t+25e-0.075t-9

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A: We have to first find the adjugate of the given matrix.

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A: We know r→ = a→+s→+t→ From the equation of line, we get a→ = 3i^-2j^+k^ or we can write it as 3, -2,…

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Q: Using the Laplace transform, solve the IVP. y₁ = 5y1 - 4y2 - 9t² + 2t, y2 = 10y₁1 - 7y2 - 17t² - 2t,…

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Q: 5. g(x-3)= же Ex7-3x х<3 x73

A: Explanation of the answer is as follows

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A: This question related to exact differential equation.

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A: The secant method uses the formula: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iterations and…

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

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Q: Solve the equation. dy dx = 4x5 (8+y²) An implicit solution in the form F(x,y) = C is = C, where C…

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