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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

नमूना प्रश्न

BITSAT Mathematics
The solution of the differential equation dy/dx + y tan x = sin x is
A y = -cos x * ln(cos x) + C cos x
B y = x sin x + C sin x
C y = x + C cos x
D y = cos x + C sin x
VITEEE Mathematics
The order and degree of the differential equation d³y/dx³ + 2(d²y/dx²)² + 3dy/dx + sin x = 0 are respectively:
A 3 and 1
B 3 and 3
C 5 and 1
D 5 and 5
JEE Main Mathematics
The general solution of dy/dx = e^(x−y) + x²e^(−y) is:
A e^y = e^x + x³/3 + C
B e^−y = e^x + x³/3 + C
C e^y = e^(−x) + x³/3 + C
D y = e^x + x³/3 + C
VITEEE Mathematics
The differential equation of all circles with center at origin is:
A x + y·dy/dx = 0
B x - y·dy/dx = 0
C x·dy/dx + y = 0
D x·dy/dx - y = 0
VITEEE Mathematics
The integrating factor of dy/dx + (1/x)y = x² is:
A x
B 1/x
C x²
D ln x
VITEEE Mathematics
The general solution of the differential equation dy/dx = xy is:
A y = C·e^(x²/2)
B y = C·eˣ
C y = C·eˣ²
D y = Cx
CUET Mathematics
The order and degree of the differential equation d³y/dx³ + 2(d²y/dx²)² + 5(dy/dx)³ = x² are respectively:
A 3 and 3
B 3 and 1
C 1 and 3
D 2 and 2
BITSAT Mathematics
The differential equation of all circles passing through the origin and having their centre on the x-axis is:
A 2xy(dy/dx) - 2y^2 + x^2 = 0
B xy(dy/dx) + y^2 - x^2 = 0
C x(dy/dx) + y = 0
D (dy/dx) - y = 0

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