Question

Question 11:

What is the general solution of the following homogeneous second-order differential equation?

d^2y/dx^2 + 10 dy/dx + 25.y =0

	(a)	y = e 12.5.x (Ax + B)
	(b)	y = e -5.x (Ax + B)
	(c)	y = e -10.x (Ax + B)
	(d)	y = e +5.x (Ax + B)

Question 12:

What is the general solution of the following homogeneous second-order differential equation?

Non-integers are expressed to one decimal place.

d^2y/dx^2 − 38.y =0

	(a)	y = e -6.2.x (Ax + B)
	(b)	y = e -6.2.x(A.sin(6.2.x)+ B.cos(6.2.x))
	(c)	y = e 6.2.x (Ax + B)
	(d)	y = Ae -6.2.x + Be 6.2.x

Question 13:

What is the general solution of the following homogeneous second order differential equation?

d2^y/dx^2 − 4dy/dx + 13.y = 0

	(a)	y = A e2.x + B e3.x
	(b)	y = e2.x (A cos(3.x ) + B sin (3.x))
	(c)	y = e-2.x.(A cos(3.x) + B sin (3.x))
	(d)	y = e3.x (A cos(2.x) + B sin (2.x))

Question 14:

What is the general solution of the following homogeneous second order differential equation?

d^2y/dx^2 + 9 dy/dx + 20.y = 0

	(a)	y = A e4.x + B e-5.x
	(b)	y = A e4.x + B e5.x
	(c)	y = A e-4.x + B e-5.x
	(d)	y = A e-4.x + B e5.x

Question 15:

What is the general solution of the following homogeneous second order differential equation?

d^2y/dx^2+ 5 dy/dx − 36.y = 0

	(a)	y = A e4.x + B e9.x
	(b)	y = A e-4.x + B e9.x
	(c)	y = A e-4.x + B e-9.x
	(d)	y = A e4.x + B e-9.x

Answer 1