Discussion Forum



1)

The order and degree of the differential equation whose solution is y = cx + c2 - 3c3/2 + 2, therefore c is a parameter, is


A) order = 4,degree = 4

B) order = 4,degree = 1

C) order = 1,degree = 4

D) None of these

Answer:

Option C

Explanation:

y = cx + c2 - 3c3/2 + 2 .....(1)

Differentiating above with respect to x, we get $\frac{dy}{dx}$ = c

Putting this value of c in (1), we get

$y = x\frac{dy}{dx}+\left(\frac{dy}{dx}\right)^{2}-3\left(\frac{dy}{dx}\right)^{3/2}+2$

Clearly its order is ONE and after removing the fractional power we get the degree FOUR.