How to Verify the Differential Equation y(x^2+2) - 2x dy/dx + x^2 d^2y/dx^2 = 0?

maobadi · Dec 11, 2008

Guys can you help me solve this please
if y = xsinx prove that
y(x²+2)-2x dy/dx+x² d²y/dx²= 0

tiny-tim · Dec 11, 2008

Welcome to PF!

maobadi said:

if y = xsinx prove that
y(x²+2)-2x dy/dx+x² d²y/dx²= 0

Hi maobadi! Welcome to PF!

Find dy/dx using the product rule, then find d²y/dx², and then plug them into the LHS.

maobadi · Dec 11, 2008

tiny-tim
Thanks for the tips and I think I have solved it.

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