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Find the general solution of the differ...

Find the general solution of the differential equations `(dy)/(dx)+y=1(y!=1)`

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To solve the differential equation \(\frac{dy}{dx} + y = 1\) where \(y \neq 1\), we can follow these steps: ### Step 1: Rearranging the Equation Start by rearranging the equation to isolate \(\frac{dy}{dx}\): \[ \frac{dy}{dx} = 1 - y \] ...
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Knowledge Check

  • Find the general solution of the differential equation y-x(dy)/(dx)=a(y^(2)+(dy)/(dx)) .

    A
    `y=C(1-ay)(a+x)`
    B
    `y=C(1+ay)(a+x)`
    C
    `y=C(a+x)`
    D
    `y=C(1-ay)`

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