Problem 1: Use the variation of parameters method to show that the solution of equation d'y/dx² CX + k'y=(x) satisfying the initial conditions y(0)=0,y'(0)=0 is y(x)== $(t) sink(x-t) dt.

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A: You have posted multiple questions.As per our policies , solving first question. Please ask the…

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A: Injective is another word for one-one.

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Q: 3. Find the general solution of the following homogeneous equation with constant coefficient. a. 2y"…

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Q: b

A: Please find the answers in next step

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Q: 1. Using (2n +1)Pn= Pn+1-P-1: prove that P(x) = (2n-1) Pn-1(x) + (2n-5) Pn-2+(2n-9) Pn-3+.... - and…

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A: According to our guidelines we can answer only one question and rest can be reposted.

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Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

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