Find the general solution of the differential equations `y log y dx – x dy = 0`

Explanation

`y \log y d x-x d y=0 `

`y \log y d x=x d y `

`frac{d y}{y \log y}=\frac{d x}{x} `

`text { Let } \log y=t `

`frac{1}{y} d y=d t `

`int \frac{d t}{t}=\int \frac{d x}{x} `

`log t=\log x+\log c `

`log y=c x`