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[" 31.If "y=x^(x)," Show that "(d^(2)y)/...

[" 31.If "y=x^(x)," Show that "(d^(2)y)/(dx^(2))-(1)/(y)((dy)/(dx))^(2)-(y)/(x)=0],[" (OR) "]

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If y=x^(x), prove that (d^(2)y)/(dx^(2))-(1)/(y)((dy)/(dx))^(2)-(y)/(x)=0

If y=x^(x) , prove that (d^(2)y)/(dx^(2))-(1)/(y)((dy)/(dx))^(2)-(y)/(x)=0 .

If y=x^(x) , then prove that (d^(2)y)/(dx^(2))-(1)/(y)((dy)/(dx))^(2)-(y)/(x)=0

if y=x^(x), then prove (d^(2)y)/(dx^(2))-(1)/(y)((dy)/(dx))^(2)-(y)/(x)=0

If y=x^(x) , prove that: (d^(2)y)/(dx^(2))-1/y((dy)/(dx))^(2) - y/x=0

If e^(y)(x+1)=1, show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2)

If y=x^(2)e^(x),"show that "(d^(2)y)/(dx^(2))-(dy)/(dx)-2(x+1)e^(x)=0

If e^(y)(x+1)=1 ,show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2)

If e^(y) (x+ 1)=1 , show that (d^(2)y)/(dx^(2))= ((dy)/(dx))^(2)

If e^(y)(x+1)=1 . Show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2)