Example 1 (ii) - Find order and degree of xyy'' + x(y')^2 - yy' = 0 - Examples

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Example 1 Find the order and degree, if defined , of each of the following differential equations : (ii) š‘„š‘¦ (š‘‘^2 š‘¦)/(š‘‘š‘„^2 )+š‘„(š‘‘š‘¦/š‘‘š‘„)^2āˆ’š‘¦ š‘‘š‘¦/š‘‘š‘„=0 š‘„š‘¦ (š‘‘^2 š‘¦)/(š‘‘š‘„^2 )+š‘„(š‘‘š‘¦/š‘‘š‘„)^2āˆ’š‘¦ š‘‘š‘¦/š‘‘š‘„=0 š‘„š‘¦š‘¦^′′+š‘„(š‘¦^′ )^2āˆ’š‘¦š‘¦^′=0 Highest order of derivative = 2 ∓ Order = šŸ Degree = Power of š‘¦^′′ Degree = šŸ

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