# Differential Equations Quiz

15 Questions | Total Attempts: 348

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Time: 30 Minute

• 1.
Write the differential equation representing the family of curves y = mx, where m is an arbitrary constant.
• A.

Xdy – ydx = 0

• B.

Xdy – dx = 0

• C.

Xdy + ydx = 0

• D.

Dy – ydx = 0

• 2.
Form the differential equation of the family of parabolas having vertex at the origin and axis along positive y-axis.
• A.

Xy’ – y = 0

• B.

Xy’ + 2y = 0

• C.

Xy’ – 7y = 0

• D.

Xy’ – 2y = 0

• 3.
Find the solution of the differential equation:
• A.
• B.
• C.
• D.
• 4.
Find the particular solution of the differential equation:
• A.
• B.
• C.
• D.
• 5.
Find the solution of the differential equation:
• A.
• B.
• C.
• D.
• 6.
Find the particular solution of the differential equation (tan-1y- x) dy = (1+y2) dx, given that when x = 0. y = 0.
• A.
• B.
• C.
• D.
• 7.
Find the solution of the differential equation:
• A.
• B.
• C.
• D.
• 8.
Find the solution of the differential equation:
• A.
• B.
• C.
• D.
• 9.
Find the equation of circles in second quadrant which touches the coordinate axis?
• A.
• B.
• C.
• D.
• 10.
Find the particular solution of the differential equation:
• A.
• B.
• C.
• D.
• 11.
Find the solution of the differential equation:
• A.
• B.
• C.
• D.
• 12.
Find the solution of the differential equation:
• A.
• B.
• C.
• D.
• 13.
Solve the following differential equation:
• A.

Y = 4 sinx – 2sinx

• B.

Y = 4 sin3x – 2 sin2x

• C.

Y = 4 sin3x + 2 sin2x

• D.

Y = 2 sin3x – sin2x

• 14.
Solve the following differential equation:
• A.
• B.
• C.
• D.
• 15.
Find the solution of the differential equation:
• A.
• B.
• C.
• D.
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