What is a solution to the differential equation $\frac{d y}{d y} = \sqrt{1 - y}$ $dy/dy=sqrt(1-y)$ ?

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What is a solution to the differential equation $\frac{d y}{d y} = \sqrt{1 - y}$ $dy/dy=sqrt(1-y)$ ?

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Answer 1 · 2016-10-02T01:53:06

If this is written correctly, then you know that $\frac{d y}{d y} = 1$ $(dy)/(dy) = 1$ . That makes this really easy. But first, let's write this in the standard form:

$\frac{d y}{d y} - \sqrt{1 - y} = 0$ $(dy)/(dy) - sqrt(1-y) = 0$

Now, let's use the fact that $\frac{d y}{d y} = 1$ $(dy)/(dy) = 1$ to get:

$1 - \sqrt{1 - y} = 0$ $1 - sqrt(1 - y) = 0$

$1 - (1 - y) = 0$ $1 - (1 - y) = 0$

$\Rightarrow y = 0$ $=> color(blue)(y = 0)$

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What is a solution to the differential equation $\frac{d y}{d y} = \sqrt{1 - y}$ $dy/dy=sqrt(1-y)$ ?

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