1. 1/2
2. -1/2
3. 1/3
4. -1/3
-1/2
1. i3π
2. -i3π
3. iπ/3
4. none of these
iπ/3
1. C1 e-2t +C2 e3t
2. C1 sin 2t + C2 cos 2t
3. C1 e2t+ C2 e-2t
4. C1 e-2t + C2 e-3
C1 e-2t + C2 e-3
1. etanx
2. Cos 2x
3. e-tax
4. sin 2x
e-tax
1. 0 < K < 7
2. 6.25 < K < 10
3. - 6 < K ≤6.25
4. 0 ≤K≤ 7
- 6 < K ≤6.25
1. 1
2. 1/2
3. 1/4
4. 1/8
1/8
1. (C1 + C2 t) e-5t
2. C1 e-2t
3. C1 e-5t + C2 e5t
4. C1e-5t+ C2e2t
(C1 + C2 t) e-5t
1. 10 ln 2
2. 201n 2
3. 50 ln 2
4. 1001n 2
201n 2
1. x2 -y2 = ce-4x
2. x2 + y2 = ce+4z
3. x2 + y2 = ce-4x
4. x2 - y2 = ce4x
x2 + y2 = ce-4x
1. first order and linear
2. first order and non-linear
3. second order and linear
4. second order and non-linear
second order and non-linear