Gate-2014 Question Papers

1. With K as a constant, the possible solution for the first order differential equation dy/dx =
e
-3x
is

a. - 1/3 e
-3x + K  (Ans)

b. - 1/3 e
3x + K

c. -3e
-3x + K

d. -3e
-x + K

Ans : dy/dx = e
-3x
dy = e
-3x dx
Taking integration on both sides,
y = e
-3x
/-3 + K = - 1/3 e-3x + K

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