Write the differential equation representing the family of straight lines `y=C x+5,\ w h e r e\ C` is an arbitrary constant.

Explanation

We have,


`y=C x+5 ldots . .(1) `

`Rightarrow frac{d y}{d x}=C`

Substituting the value of `C` in `(1)`, we get


`y=frac{d y}{d x} times x+5 `

`Rightarrow x frac{d y}{d x}-y+5=0`

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