Question

the solution of dy/ dx =x+y/x is​

Answer 1

Step-by-step explanation:

Let y = vx ,

diff wrt x , dy/dx = v + xdv/dx

we have v+ xdv/dx = x + vx / x = 1 + v

xdv/dx = 1

d

dv= dx/x

v = logx + logk

as v= y/x

y/x = logx + logk

y = xlogx + (logk)x