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Differential Equations Mock Tests

98 questions available

Differential Equations Mock Test 1

Questions: 30

Differential Equations Mock Test 2

Questions: 30

Differential Equations Mock Test 3

Questions: 30

Differential Equations Mock Test 4

Questions: 8

Sample Questions

JEE Main Mathematics
The degree and order of the differential equation d²y/dx² + (dy/dx)³ + sin(dy/dx) + 1 = 0 are respectively:
A 2 and 1
B 1 and 2
C 3 and 2
D Not defined
CUET Mathematics
The linear differential equation of the form dy/dx + Py = Q, where P and Q are constants, having solution y = Ce⁻ˣ + 2, is:
A dy/dx + y = 2
B dy/dx − y = 2
C dy/dx + y = −2
D dy/dx = y + 2
Class 12 Mathematics
The differential equation of order 1 and degree 2 is:
A (dy/dx)² + y = x
B d²y/dx² + dy/dx = 0
C dy/dx + y = 0
D d²y/dx² + y² = 0
JEE Main Mathematics
The general solution of the differential equation dy/dx = y/x is:
A y = Cx
B y = C/x
C x = Cy
D y = Cx²
JEE Main Mathematics
The differential equation of all circles passing through the origin and having their centres on the x-axis is:
A x² − y² + 2xyy' = 0
B x² + y² − 2xyy' = 0
C x² − y² − 2xyy' = 0
D x² + y² + 2xyy' = 0
CUET Mathematics
The differential equation representing the family of curves y = Cx², where C is an arbitrary constant, is:
A 2y = x(dy/dx)
B y = 2x(dy/dx)
C dy/dx = 2xy
D dy/dx = y/(2x)
CUET Mathematics
The differential equation obtained by eliminating the arbitrary constant C in y = Ce³ˣ is:
A dy/dx = 3y
B dy/dx = y/3
C dy/dx = 3xy
D dy/dx = 3 + y
CUET Mathematics
The order and degree of the differential equation d³y/dx³ + 2(d²y/dx²)² + (dy/dx)³ = 0 are respectively:
A 3 and 3
B 3 and 2
C 2 and 3
D 3 and 1

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