Differential EquationMedium
Question
The differential equation represrnting the family of curves y2 = 2c(x + √c ) where c is a positive parameter, is of
Options
A.order 1
B.order 2
C.degree 3
D.degree 4
Solution
Given , y2 = 2c (x - √c)
On differentiating w. r. t. x, we get
On putting this value of c in Eq. (i), we get
⇒
⇒
⇒
Therefore, order of this differential equation is 1 and degree is 3.
On differentiating w. r. t. x, we get
On putting this value of c in Eq. (i), we get
⇒
⇒
⇒
Therefore, order of this differential equation is 1 and degree is 3.
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