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If y^2 +b^2 =2xy,then dy/dx equals...

If `y^2 +b^2 =2xy,then dy/dx equals`

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`"We have "(f(2x+2y))/(f(2x-2y))=(sin(x+y))/(sin (x-y))`
`"or "(f(alpha))/(sin""(alpha)/(2))=(f(beta))/(sin""(beta)/(2))=K`
`"or "f(x)=K sin""(x)/(2)`
`therefore" "f'(x)=(K)/(2)cos""(x)/(2)`
`"and "f''(x)=(-K)/(4)sin""(x)/(2)`
`"or "4f''(x)+f(x)=0`
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