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Write order and degree (if defined) of the differential equation :d2y/dx2 + 5x (dy/dx)2 - 6y = log x |
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Answer» Since the highest order derivative present in the given differential equation is \(\cfrac{d^2y}{dx^2}\) . So, its order is 2. It is a polynomial equation in \(\cfrac{d^2y}{dx^2}\) and \(\cfrac{dy}{dx}\) . The highest power of the highest order derivative \(\cfrac{d^2y}{dx^2}\) in the differential equation is 1. So, its degree is 3. Hence, the order and the degree of the differential equation \(\cfrac{d^2y}{dx^2}\) + 5x ( \(\cfrac{dy}{dx}\))2 − 6y = log x is 2 and 1, respectively. |
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