Question

The order of the differential equation obtained by eliminating arbitrary constants in the family of curves $c_1y = (c_2 +c_3 )e^{x+c_4}$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (A)

1

Answer 2

$\left(y = [(\frac{C_2 + C_3}{C_1})e^{C_4}]e^x = A e^x,\right)$
where $A = \left((\frac{C_2 + C_3}{C_1})e^{C_4}\right)$
Order = Number of independent arbitrary constants $= 1$