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Order, degree OF D.E || Formation OF D.E...

Order, degree OF D.E || Formation OF D.E.

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Order, Degree, Formation, Variable Separable

The product of the degree and order of the D.E. : ((d^2y)/(dx^2))^2-((dy)/(dx))^3=y^3 is :

y=log x is a solution of the D.E.

Which of the statements is/are correct in the formation of (E ) from (D) ?

find the order and degree of D.E : (1) ((d^(2)y)/(dx^(2) ))^2 + ((dy)/(dx))^(3) = e^(x) (2) sqrt(1 + 1/((dy)/(dx))^(2))= ((d^(2)y)/(dx^(2)))^(3/2) (3) e^((dy)/(dx))+ (dy)/(dx) =x

Order and degree of the differential equation ((d^(2)y)/(dx^(2)))^(2)+((dy)/(dx))^(3)=e^(x) respectively are