Q. 2 D5.0( 4 Votes )

# For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation.

x^{2} = 2y^{2} log y :

Answer :

It is given that x^{2} = 2y^{2} log y

Now, differentiating both sides w.r.t. x, we get,

2x = 2.

Now, substituting the value of in the LHS of the given differential equation, we get,

= xy –xy

= 0

Therefore, the given function is the solution of the corresponding differential equation.

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PREVIOUSFor each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation.y = x sin 3x : NEXTForm the differential equation representing the family of curves given by (x – a)2 + 2y2 = a2, where a is an arbitrary constant.

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