Question

to show
2x dy/dx+y = 2√x​

Answer 1

Answer:

Solution

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y=

x

+

x

1

Differentiating with respect to x, we get

dx

dy

=

2

x

1

+(

2

x

x

−1

)

dx

dy

=

2

x

1

−

2x

x

1

.

dx

dy

=

2x

x

x−1

2x

dx

dy

=

x

x−1

2x

dx

dy

=

x

x

−

x

1

.

2x

dx

dy

=

x

−

x

1

2x

dx

dy

=

x

−

x

−

x

1

+

x

2x

dx

dy

=2

x

−y

⇒2x

dx

dy

+y=2

x