2) x" = (Power RUle, n any nonzero integer)

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A: y"+5y'-6y=6t+7Auxillary eq f(D)=D2-5D-6Q = 6t+7Particular Integral be denoted by PIPI=1f(D)QPI=1D2+5...

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Q: 8. Find f such that f'(x) = f(9) = 56. f(x) =]

A: Given f'(x)=8xWe know that ∫f'(x)=f(x)f(x)=∫8x dxWe know that ∫xn dx=xn+1n+1+C     =8*2x      =16x+C

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Q: Application

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