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(iv) Find the order and degree of the differential equation \( \frac{d^{2} y}{d x^{2}}=\sqrt{1-\left(\frac{d y}{d x}\right)^{4}} \) |
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Answer» Consider \(\frac{d^{2} y}{d x^{2}}=\sqrt{1-\left(\frac{d y}{d x}\right)^{4}} \) \(\Rightarrow\) d2y/dx2 = {1-(dy/dx)4}1/2 \(\Rightarrow\)[d2y/dx2]2 = 1-(dy/dx)4 Here the highest order derivative is 2 and its power is 2. Thus order is 2 and power is 2. |
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