Solve the following differential equations : The differential equation [x sqrt(x^2 + y^2) - y^2] dx + xy dy = 0.

Here, It is a homogeneous equationPut y = vxAnd So,Integrating both sides we get,Let 1 + v2 = tDifferentiating both sides we get,2vdv = dt

Q21 of 462 Page 23

Solve the following differential equations :

Here,

It is a homogeneous equation

Put y = vx

And

So,

Integrating both sides we get,

Let 1 + v² = t

Differentiating both sides we get,

2vdv = dt

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Solve the following differential equations :

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Solve the following differential equations :

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Solve the following differential equations :

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Solve the following differential equations :