Question
Solve the following differential equations : $\frac{d y}{d x}=\frac{y+\sqrt{x^2+y^2}}{x}$
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the interval 0 ≤ f ≤ 4 when the instantaneous velocity of the particle is equal to its average velocity in this interval.
$\int_0^1 \frac{1}{1+\sqrt{x}} d x$