2. Find a particular solution to each of these ODES by using the method of variation of parameters: (a) y" +y = tan x. (b) y" – y = sinh 2x . (c) y" – 2y' + y = e* /(1+ e"). - (d) y" – 2y' + y = x² . - (e) 2y" + 2y' + y = e¬® .

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A: Reimann sum

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Q: the

A: We will find the vertical asymptotes if it exists. 

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A: S(t)=B+Ae-ktB=46000(a) at t=1, S(1)=8451084510=46000+Ae-kAe-k=38510  →(1)at t=3, S(3)=6167061670=460...

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A: As per our guide lines we are advised to solve only first question. Please kindly upload other quest...

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A: Graph

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A: Explained below 

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A: I=∫ 3+x+4ex dxI=∫3 dx +∫x dx +∫ 4ex dxI=3∫dx +∫x dx +4∫ ex dxI=3x+x22+4 ex +C

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A:     L-15s-8s2+16=L-15ss2+16-8s2+16=5L-1ss2+16-8L-11s2+16=5cos4t-8·14sin4t=5cos4t-2sin4t

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