1.

The degree and order of the differential equation `y=px+root3(a^(2)p^(2)+b^(2)),` where `p = (dy)/(dx) ` are respectivelyA. 3,1B. 1,3C. 1,1D. 3,3

Answer» Correct Answer - b
Given differential equation is
` y = x(dy)/(dx)+ [ a^(2) ((dy)/(dx))^(2)+b^(2)]^(1/3)`
` rArr ( y - x(dy)/dx)^(3) = a^(2) ((dy)/dx)^(2) +b^(2)`
` :. ` Order and degree of the above differential equaiton are 1 and 3 respectively .


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