Express the solution of the given initial value problem in terms of a convolution integral y" + 10y' + 21y = cos(at); y(0) = 1, 7 y(t) 3 -7t e drX -3t +. cos(a t – a t) (e-37 – e-1") -- 4 4

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A: Find the general solution of (a) Using undetermined coefficients.(b) Using variation of parameters.

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Q: A particular solution of x²y" + xy' + (x? – 0.25)y = 3x3/2sinx, x>0, y,(x)=x-1/2sinx, y2(x)=x1/2…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the D. E. to the I. V. P. sinx(e + 1)x'- cosx 1, y() = 0 O (1 + e') (1 + cos x) = 2 O (1 + e)…

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Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = - 400 sin(2t) Y(t)…

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Q: Q4 B) Find y' for the functions cos(xy) + 3*+cos ly+ In(xy) + log-7 dy

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Q: 2a + 56+c —а — 36 — 2с 3a + 76 +c -4a – 96 –c 2. T(а + bx + сх*). |

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A: Note: as per our guidelines we have to solve 1st question. So please repost other questiin . sorry…