d²y 1. (a) Solve the second order differential equation 2- dx2 -12y+25sin(4x) = 0. 14 5 dx 1 (b) Hence find the particular solution if y(0)=-- and y'(0) 10 ==

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A: Please refer the attached image for complete solution.

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A: Given:

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A: Let,  ax+b=c This gives, x=(c-b) /a is the required solution for x.

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A:

Q: d. (b) d.r

A: Given ddx1x+xx2

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A:

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A: 63x+1=22x-3

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A: To solve the below quadratic equation. 2x2+x−6=0

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A: We have to find the speed of the faster cyclist.

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A: Given U.S mint produces quarters that weight about 5.67 grams each .After the quarters are produced…

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A:

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A: Let's solve for x.

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A: