Math, asked by HitakshiHK816, 1 year ago

plz solve que. 3,4,5 as soon as possible....
plz answer fast....​

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Answers

Answered by disha1496
1

Answer:

5.... y=acos(logx)+bsin(logx) _(1)

dy/dx=a[-sin(logx)]×1/x+bcos(logx)×1/x

xdy/dx=-asin(logx)/x+bcos(logx)

xd²y/dx²+dy/dx =-acos(logx)-bsin(logx)/x

by cross multiple...

x²d²y/dx²+xdy/dx= -[acos(logx)+bsin(logx)]

x²d²y/dx²+xdy/dx=-y (from 1)

x²d²y/dx²+xdy/dx+y=0

hence proved

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