Question

From the diffrential equation by eliminating the aribtary
constants from y2 = ax + b​

Answer 1

Step-by-step explanation:

we have y

2

=a(ax+b)

⇒y

2

=a

2

x+ab

On differentiating w.r.t x we get

2y

dx

dy

=a

2

⇒y

dx

dy

=

2

a

2

⇒y

dx

2

d

2

y

+

dx

dy

.

dx

dy

=0

y.y

2

+(y

1

)

2

=0

Hence order and degree of the given equation is 2 and 1, respectively

Answer 2

Answer:

Differentiate the equation twice and the elliminate a and b with the help of given equation. 2y'=a