Q. 52

# If <span lang="EN

Formula: –

Given: –

y = xn(acos(logx) + bsin(logx))

y = axncos(logx) + bxnsin(logx)

= xn (na + b)[(n – 1) cos(logx) – sin (logx) ] + (bn – a) xn [(n – 1) sin(logx) + cos(logx)] + (1 – 2n)xn – 1cos(logx)(na + b) + (1 – 2n)xn – 1sin(logx)(bn – a) + a(1 + n2)xncos(logx) + bxn(1 + n2)sin(logx)

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