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" 14.If "y=Ae^(nx)+Be''," show that "(d^...

" 14.If "y=Ae^(nx)+Be''," show that "(d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0

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If y=Ae^(mx)+Be^(nx), show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0

y=Ae^(mx)+Be^(nx) show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0

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If y= Ae^(mx) +Be^(nx) , show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0 .

If y= Ae^(mx) +Be^(nx) , show that (d^(2)y)/(dx^(2))-(m+n)(dy)/(dx)+mny=0 .

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If y=A e^(m x)+B e^(n x) , show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n y=0