Differential Equations  MCQs

MCQs of Differential Equations

Showing 141 to 145 out of 145 Questions
141.
The differential equation of family of circles passing through origin and whose centre lies on Y - axis is _____.
(a) x2-y2dydx-2xy=0
(b) x2-y2dydx+2xy=0
(c) x2-y2dydx-xy=0
(d) x2-y2dydx+xy=0
Answer:

Option (a)

142.
If a is an arbitrary constant for differential equation then the solution of the equation dydx+1-y21-x2=0 is _____.
(a) x1-y2+y1-x2=a
(b) y1-y2+x1-x2=a
(c) x1-y2-y1-x2=a
(d) y1-y2-x1-x2=a
Answer:

Option (a)

143.
The slope of tangent at any point of the curve is twice the slope of the line joining origin with that point, then the curve is _____.
(a) circle
(b) ellipse
(c) parabola
(d) hyperbola
Answer:

Option (c)

144.
The differential equation dydx=1-y2y represents family of circles having _____ .
(a) variable radius and definite centre (0, 1)
(b) variable radius and definite centre (0, -1)
(c) fixed radius one and variable centre on X - axis
(d) fixed radius one and variable centre on Y - axis
Answer:

Option (c)

145.
The solution of the differential equation xdy - ydx = 0 represents _____.
(a) parabola having vertex at origin
(b) circle having vertex at origin
(c) rectangular hyperbola
(d) lines passing through at origin
Answer:

Option (d)

Showing 141 to 145 out of 145 Questions