If {\displaystyle x = \sin t} and {\displaystyle y = \sin pt } , prove that {\displaystyle (1 – x^2)\frac{d^{2}y}{dx^2} – x\frac{dy}{dx} + p^2y = 0 } .

## If then show that dy over dx times dx over dy equals 1

### Created

September 18, 2022, 9:59 am

### Updated

September 18, 2022, 9:59 am

If {\displaystyle a x^2 + 2hxy + b y^2 + 2gx + 2fy + c = 0 } , then show that {\displaystyle \frac{dy}{dx} . \frac{dx}{dy} = 1 } .