Differential Equations Test

Result

Differential Equations Test - 9

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Weekly Quiz Competition

Question 1
4 / -1

The solution of differential equation

A

B

C

D
None of the above
Question 2
4 / -1

A

B

C

D
Question 3
4 / -1

A particular solution of log (dy/dx) = 3x + 4y, y(0) = 0 is

A
e^3x + 3e^-4y = 4

B
4e^3x - 3e^-4y = 3

C
3e^3x + 4e^-4y = 7

D
4e^3x + 3e^-4y = 7
Question 4
4 / -1

The solution of the differential equation e^-x (y + 1)dy + (cos² x - sin 2x)y dx = 0 subjected to the condition that y = 1, when x = 0 is

A
y + log y + e^x cos² x = 2

B
log (y + 1) + e^x cos²x = 1

C
y + log y = e^x cos² x

D
(y + 1) + e^x cos² x = 2
Question 5
4 / -1

A
(4x + y + 1) = tan (2x + C)

B
(4x + y + 1)² = 2 tan (2x + C)

C
(4x + y + 1)³ = 3 tan (2x + C)

D
(4x + y + 1) = 2 tan (2x + C)

Solution
Question 6
4 / -1

A
parabola

B
hyperbola

C
circle

D
ellipse

Solution
Question 7
4 / -1

The general solution of the differential equation (1 + y²)dx + (1 + x²) dy = 0 is

A
x - y = C (1 - xy)

B
x - y = C (1 + xy)

C
x + y = C (1 - xy)

D
x + y = C (1 + xy)

Solution
Question 8
4 / -1

A

B

C

D
Question 9
4 / -1

Which of the following is correct solution of

A
x + ye^x/y = C

B
y + xe^x/y = C

C
x + y = Ce^-x/y

D
y = x + Ce^x/y
Question 10
4 / -1

The solution of the differential equation

A

B

C

D