Question

The general solution of the differential equation: x²dy + y²dx = 0 is ______. 

Options

• x³ + y³ = k

• `1/y-1/x=k`

• `1/y+1/x=k`

• log y² + log x² = k

Answer 1

The general solution of the differential equation: x²dy + y²dx = 0 is

`bbunderline(1/y+1/x=k)`.

Explanation: 

⇒ `intdy/-y^2=intdx/x^2`

⇒ `1/y=(-1)/x+k`

⇒ `1/y+1/x=k`