Question

If y=s
$if y = ex \: sinx \: prove \: that \: y2 - 2y1 + 2y = 0$
in ​

Answer 1

Answer ⇲

➯Given y = ex(sinx + cosx)

➯ dy/dx = ex(sin x + cos x) + ex(cosx – sinx)

➯ dy/dx = 2excos x ⇒ d2y/dx2 = 2ex (cosx – sinx)

➯ Now, d2y/dx2 – 2dy/dx + 2y

➯ = 2ex(cosx – sinx) – 4excos x + 2ex(sinx + cosx)

➯ = 2ex(cosx – sinx – 2cosx + sinx + cos x) = 2ex (0)

➯ = prove-that-y2-2y1-2y-0

➯ 0

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