Answer :

Let us take y = ex sin 5x

Now,





= exsin5x+excos5x.5


= ex (sin5x + 5cos5x)





= ex (sin5x + 5cos5x) + ex (5cos5x – 25sin5x)


= ex (10cos5x – 24sin5x)


= 2ex (5cos5x – 12sin5x)


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