Determine the partial fraction expansion for the rational function below. - 19s + 75 (s+5) (s² +9) - 19s +75 (s+5) (s² +9)

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A: We recast the higher order initial value problem into an initial value problem for a system of first…

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Q: 12

A: The inverse of matrix A is written as A-1 so that  A A-1 = A-1 A =

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Q: Q3./ Solve the following simultaneous ODE y₁ = -3y₁+ Y₂ −3 y₂ = Y₁ - 3 Y₂

A: To solve the  given problem, we use the standard defination of differential  equations

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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: a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the…

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Q: 3. Let W be the subspace of R3 [x] spanned by the polynomials 1+2x+3x²+4x³, 2+3x+4x²+x³, 3+4x + x² +…

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