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x^(2) + y^(2) =r^(2) is a solution of t...

`x^(2) + y^(2) =r^(2) ` is a solution of the D.E. `y =x(dy)/(dx) + r sqrt(1+((dy)/(dx))^(2))`

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To verify that the equation \( x^2 + y^2 = r^2 \) is a solution of the differential equation \[ y = x \frac{dy}{dx} + r \sqrt{1 + \left(\frac{dy}{dx}\right)^2}, \] we will follow these steps: ...
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