Q10 of 76 Page 931

Find the general solution of each of the following differential equations:
y log y dx – x dy = 0

Integrating on both the sides,

LHS:

RHS:

Let

So,

Therefore the solution of the given differential equation is

Find the general solution of each of the following differential equations:

x² (y + 1) dx + y² (x – 1) dy = 0

Find the general solution of each of the following differential equations:

x(x² – x² y²) dy + y(y² + x²y²) dx = 0

Find the general solution of each of the following differential equations:

(1 – x²) dy + xy (1 – y) dx = 0

Find the general solution of each of the following differential equations:y log y dx – x dy = 0