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(d^2y)/(dx^2)+(m+n)(dy)/(dx)+m n y=0...

`(d^2y)/(dx^2)+(m+n)(dy)/(dx)+m n y=0`

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if y=Ae^(mx)+Be^(nx) then prove 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

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

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 .

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

(d^(2)y)/(dx^(2))+(m+n)(dy)/(dx)+mny=0