Given: x'(t) + 2y(t) = - 1 where, %3D x(0) = y(0) = 0 x(t) - y'(t) = 2t %3D Find : u(s) = L{x} %3D (4+s²) s2 (s2 +2) (4+5s²) s² (s² +2) (4-s2) s2 (s² +2) (s² –4)

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A: Nothing is clearly mentioned here so i am solving it by considering that you want to differentiate…

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A: See the details solution in below

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Q: 2) Find f'(x) if f(x) = 6x¬2 + 8x3 + 11x.

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