SOLUTION: If y= A/x + Bx where A and B are constants, show that x²dy/dx +xdy/dx=y

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Question 1204822: If
y= A/x + Bx where A and B are constants, show that x²dy/dx +xdy/dx=y
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
y= A/x + Bx where A and B are constants, show that x²dy/dx +xdy/dx=y
I don't believe that's true. Let's see if we can find a counter-example.





Now if  were true it would be true when A=B=x=1 





So we substitute in







False. That's why I don't believe what you are asking to prove is true.

Edwin
 
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

Wrong statement.
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