21. The differential equation with solution y = A sin x + B cos x is:
A.
B.
C.
D.
22. The differential equation of all parabolas whose axis is parallel to the y-axis is:
A.
B.
C.
D. All of these
23. A function f : R ² → R is called ____________ of degree n if, where t is a nonzero real number.
A. Linear
B. Exact
C. Homogeneous
D. Separable
24. Which of the following is homogeneous?
A.
B.
C.
D. All of these
25. The degree homogeneous function is
A. 7
B. 9
C. 8
D. 2
26. A homogeneous equation can be transformed into a separable equation by substitution.
A. y = vx²
B. y = vx
C. y = x²
D. y = x
27. is homogeneous, its separable form is
A. [v – g(v)]dx + dv = 0
B. [v – g(v)]dx + xdv = 0
C. [x – g(x)]dx + dv = 0
D. [x – g(x)]dx + vdv = 0
28. The differential equation is:
A. Exact
B. Not exact
C. Homogeneous
D. Non linear
29. By substitution____________________differential equation will
be reduced to homogeneous equation.
A. x = X + h, y = Y + k
B. x = X – h, y = Y – k
C.
D. None of these
30. The differential equation is not exact, but if
then the substitution … will work to reduce it to homogeneous form?
A. x = X + h, y = Y + k
B. x = X – h, y = Y – k
C.
D. None of these