Question 16:
What is the general solution of the following homogeneoussecond-order differential equation?
Non-integers are expressed to one decimal place.
d^2y/dx^2 ? 11.y = 9
| (a) | y = Ae -3.3.x + Be 3.3.x + 0.82 |
| (b) | y = Ae -3.3.x + Be 3.3.x - 0.82 |
| (c) | y = e3.3.x (Ax + B)+0.82 |
| (d) | y = e3.3.x (Ax + B)- 0.82 |
Question 17:
What is the general solution of the following homogeneous secondorder differential equation?
d^2y/dx^2 + 3dy/dx ? 4.y = cos(3.x)
| (a) | y = A e1.x + B e4.x - (0.036).sin(3.x) +(-0.052).cos(3.x) |
| (b) | y = A e-1.x + B e4.x + (0.036).sin(3.x) -(-0.052).cos(3.x) |
| (c) | y = A e1.x + B e-4.x + (0.036).sin(3.x) +(-0.052).cos(3.x) |
| (d) | y = A e-1.x + B e-4.x - (0.036).sin(3.x) -(-0.052).cos(3.x) |
Question 18:
What is the general solution of the following homogeneous secondorder differential equation?
d^2y/dx^2 + 13dy/dx + 40.y = sin(2.x)
| (a) | y = A e-5.x + B e-8.x + (0.013).cos(2.x) -(0.018).sin(2.x) |
| (b) | y = A e-5.x + B e-8.x - (0.013).cos(2.x) +(0.018).sin(2.x) |
| (c) | y = A e-5.x + B e-8.x - (0.013).cos(2.x) -(0.018).sin(2.x) |
| (d) | y = A e-5.x + B e-8.x + (0.013).cos(2.x) +(0.018).sin(2.x) |
Question 19:
What is the general solution of the following homogeneous secondorder differential equation?
d^2y/dx^2 + 1dy/dx ? 20.y = 1.x ? 3
| (a) | y = A e4.x + B e-5.x - 0.050.x -(0.15) |
| (b) | y = A e4.x + B e-5.x - 0.050.x +(0.15) |
| (c) | y = A e4.x + B e-5.x + 0.050.x -(0.15) |
| (d) | y = A e4.x + B e-5.x + 0.050.x +(0.15) |
Question 20:
What is the general solution of the following homogeneous secondorder differential equation?
d^2y/dx^2 ? 10dy/dx + 29.y = 1.e(3.x)
| (a) | y = e2.x (A cos(5.x) + B sin (5.x)) +(0.100).e3.x |
| (b) | y = A e5.x + B e2.x +(0.015).e3.x |
| (c) | y = e-5.x.(A cos(2.x) + B sin (2.x)) -(0.13).e3.x |
| (d) | y = e5.x (A cos(2.x ) + B sin (2.x)) +(0.13).e3.x |
