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
381.

The volume of sphere is increasing at the rate of 1200 cu cm/s. The rate of increase in its surface area when the radius is 10 cm is

  • 120 sqcm/s

  • 240 sqcm/s

  • 200 sqcm/s

  • 100 sqcm/s


382.

The slope of the tangent to the curve

y = 0x11 + t3dt at the point, where x = 1 is 

  • 14

  • 13

  • 12

  • 1


383.

The solution of dydx + 1x = eyx2 is

  • 2x = 1 +Cx2 ey

  • x = 1 +Cx2 ey

  • 2x2 = 1 +Cx2 e - y

  • x2 = 1 +Cx2 e - y


384.

The differential equation dydx = 1ax +by +c ,where a, b, c are all non-zero real numbers, is

  • linear in y

  • linear in x

  • linear in both x and y

  • homogeneous equation


Advertisement
385.

Let D be the domain of a twice differentiable function f.For all x  D, f"(x) + f(x) = 0 and f(x)= g(x)dx + constant.If h(x) = f(x)2 + g(x)2  and h(0) = 5, then h(2015) - h(2014) is equal to

  • 5

  • 3

  • 0

  • 1


386.

The solution of the differential equation 1 + y2 + x - etan-1ydydx = 0, is

  • xetan-1y = tan-1y + C

  • xe2tan-1y = tan-1y + C

  • 2xetan-1y = e2tan-1y + C

  • x2etan-1y = 4e2tan-1y + C


387.

The solution of the differential equation 2x - 4y + 3dydx + x - 2y + 1 = 0 is

  • log2x - 4y + 3 = x - 2y + C

  • log22x - 4y + 3 = 2x - 2y+ C

  • log2x - 2y + 5 = 2x + y + C

  • log4x - 2y + 5 = 4x + 2y + C


388.

For x2 - 4  0, the value of ddxlogexx - 2x + 234 at x = 3 is

  • 85

  • 2

  • 1

  • 8e35


Advertisement
389.

If  y = sinh-1x1 + x2, then 1 + x2y2 + 3xy1 + y = ?

  • 2

  • 1

  •  - 1 

  • 0


390.

The solution of the equation

x - 4y3dydx - y = 0, y > 0 is

  • x = y3 + cy

  • x + 2y3 = cy

  • y = x3 + cx

  • y + 2x3 = cx


Advertisement