Important Questions of Differential Equations Mathematics | Zigya

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement
191.

The order and degree of the differential equation d2ydx2 = 1 - dydx43 are respectively

  • 2, 3

  • 3, 2

  • 2, 4

  • 2, 2


192.

Form the differential equation of all family of lines y = mx ± 4m eliminating the arbitrary m constant 'm' is

  • d2ydx2 = 0

  • xdydx - ydydx +4 = 0

  • xdydx2 + ydydx +4 = 0

  • dydx = 0


193.

The differential equation of family of circles whose centre lies on x-axis, is

  • d2ydx2 + dydx2 + 1 = 0

  • yd2ydx2 + dydx2 - 1 = 0

  • yd2ydx2 - dydx2 - 1 = 0

  • yd2ydx2 + dydx2 + 1 = 0


194.

The solution of the differential equation y1 + logxdydx - xlogx = 0 is

  • x log(x) = y + c

  • x log(x) = yc

  • y(1 + log(x) = c

  • log(x) - y = c


Advertisement
195.

The order of the differential equation whose solution is aex + be2x + ce3x + d = 0, is

  • 1

  • 2

  • 3

  • 4


196.

The differential equation of all circles which pass through the origin and whose centres lie on y-axis is

  • x2 - y2dydx - 2xy = 0

  • x2 - y2dydx + 2xy = 0

  • x2 - y2dydx - xy = 0

  • x2 - y2dydx + xy = 0


197.

If m and n are order and degree of the equation

d2ydx25 + 4 . d2ydx23d3ydx3 + d3ydx3 = x2 - 1, then

 

  • m = 3, n = 3

  • m = 3, n = 2

  • m = 3, n = 5

  • m = 3, n = 1


198.

The integrating factor of the differential equation dydxxlogx + y = 2logx is iven by

  • ex

  • log(x)

  • log(log(x))

  • x


Advertisement
199.

The differential equation whose solution is (x - h)2 + (y - k)2 = a2 (a is a constant), is

  • 1+dydx23 = a2d2ydx2

  • 1+dydx23 = a2d2ydx22

  • 1+dydx3 = a2d2ydx22

  • None of these


200.

The differential equation of the family of circles touching Y-axis at the origin is

  • x2 + y2dydx - 2xy = 0

  • x2 - y2 + 2xydydx = 0

  • x2 - y2dydx - 2xy = 0

  • x2 + y2dydx + 2xy = 0


Advertisement