मराठी

Find the order and degree of the differential equation (1+3dydx)23=4(d3ydx3).

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प्रश्न

Find the order and degree of the differential equation `(1 + 3 dy/dx)^(2/3) = 4((d^3y)/(dx^3))`.

बेरीज
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उत्तर

`(1 + (3dy)/dx)^(2/3) = 4((d^3y)/(dx^3))`

Cubing both sides

`(1 + (3dy)/dx)^2 = 64((d^3y)/(dx^3))^3`

∴ Order = 3,

Degree = 3

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