1.

If the order of a differential equation (d^2y)/(dx^2)-2 ((dy)/(dx))^3 +sin ((dy)/(dx)) +y =0 is l and the degree of the differential equation (1+(d^2y)/(dx^2))^(2/3)=[2-((dy)/(dx))^3]^(3/2)is m, then the differential equation corresponding to the family of curves y= Ax^l +Be ^(mx), where A and B are arbitrary constants is

Answer»

`(4x^2-2x)y^('') +(16x^2-2)y^'+(32x=8)y=0`
`(2x^2-x)y^('')+(8x^2-2)y^'+(16x-4)y=0`
`(2x^2-4t)y^('')-(8x^2-1)y^'+(16x-4)y=0`
`(4x^2-2x)y^('')+(8x^2-1)y^'+(16x-4)y=0`

ANSWER :C


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