Question

y=√x+y then prove that dy/dx=1/2y-1​

Answer 1

Answer:

dy/dx = 1/(2y -1)

Step-by-step explanation:

y=√x+y then prove that dy/dx=1/2y-1​

y=√x+y

Squaring both sides

y² = x + y

2y(dy/dx) = 1 + dy/dx

=> dy/dx(2y -1) = 1

=> dy/dx = 1/(2y -1)

QED

Hence Proved

dy/dx = 1/(2y -1)