Given the following differential equation and its initial conditions y" - 10 y' + 9y - St with y(0) = -1 and y'(0) - 2 1. Apply Laplace Transformations to each part of the differential equation. 2. Solve your new equation for "Y(s) 3. Convert your answer back into "y(t) A y(1) - -1+ 21 + 31 e - 2e 31 9 - 2e 50 5 B y(e) 81 81 50 124 779 © () 81 405 405 O >(0) = ; 133 9 9 36 O (1) - 2 + 36 e"" - 2e 5 4 9 9. +

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A: follow next step

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A: I am attaching image so that you understand each and every step.

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A: Here, the given vectors are: u=-7i-4j-2k, v=0i+4j+4k That is: u=-7,-4,-2, v=0,4,4

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A: On solving this we will get:-

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A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the fi...

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A: The detailed solution is given below Thanks 

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A: Two vectors u and v are orthogonal if and only if u.v =0 .

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A: Answer is given below.

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A: 1.      -14,-10,-6,-2,_,_,_ -14+4=-10-10+4=-  6    -6+4=-  2   -2+4=      2        2+4=      6      ...

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