SOLUTION: if y=x+(a^2+x^2)^1/2 and a is a constant prove that (a^2+x^2)d^2y/dx^2+x(dy/dx)-y=0

Algebra ->  Probability-and-statistics -> SOLUTION: if y=x+(a^2+x^2)^1/2 and a is a constant prove that (a^2+x^2)d^2y/dx^2+x(dy/dx)-y=0      Log On


   

Question 534584: if y=x+(a^2+x^2)^1/2 and a is a constant prove that (a^2+x^2)d^2y/dx^2+x(dy/dx)-y=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If and is a constant prove that

I'm going to assume that you know how to calculate the indicated derivatives.





Then just plug in the expressions and do the algebra:









Three pairs of additive inverse terms -- has to be zero.


John

My calculator said it, I believe it, that settles it
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