Question: If y = $\frac{x + c}{1 + x^{2}}$where c is a constant, then when y is stationary, xy is equal to –...

Question

If y = $\frac{x + c}{1 + x^{2}}$ where c is a constant, then when y is stationary, xy is equal to –

Answer 1

Q $\frac{dy}{dx}$ = 0 ⇒ y + x²y = x + c

$\frac{dy}{dx}$ + x² $\frac{dy}{dx}$ + y(2x) = 1 ; ∴ xy = ½

Question: If y = \(\frac{x + c}{1 + x^{2}}\)where c is a constant, then when y is stationary, xy is equal to –...