Consider the differential equation (d...

Consider the differential equation
`(dy)/(dx)=(y^(3))/(2(xy^(2)-x^(2))):`
Statement-1 : The substitution `z=y^(2)` transforms the above equation into a first order homogeneous differential equation.
Statement-2 : The solution of this differential equation is `y^(2)e^(-y^(2)//x)=C`.

A

A) Both statements are false

B

B) Statement-1 is true and statement-2 is false

C

C) Statement-1 is false and statement-2 is true

D

D) Both statements are true

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The correct Answer is:

4

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