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Exercise

$y^{'\:}=\sqrt{\frac{y}{x-1}}$

Step-by-step Solution

1

Apply the formula: $\left(\frac{a}{b}\right)^n$$=\frac{a^n}{b^n}$, where $a=y$, $b=x-1$ and $n=\frac{1}{2}$

$y^{\prime}=\frac{\sqrt{y}}{\sqrt{x-1}}$

Final answer to the exercise

$y^{\prime}=\frac{\sqrt{y}}{\sqrt{x-1}}$

Try other ways to solve this exercise

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Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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