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...