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\((\frac{dy}{dx})^2 + \cfrac{1}{\frac{dy}{dx}} = 2\) |
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Answer» \((\frac{dy}{dx})^2 + \cfrac{1}{\frac{dy}{dx}} = 2\) ⇒ \((\frac{dy}{dx})^3\) + 1 = \(2\frac{dy}{dx}\) (Multiply both sides by \(\frac{dy}{dx}\)) ⇒ \((\frac{dy}{dx})^3\) - \(2\frac{dy}{dx}\) +1 = 0 which is differential equation in which highest order derivative is \(\frac{dy}{dx}\) and power raised to 3. \(\therefore\) order = 1 & degree = 3. |
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