Differential Equations Test

Result

Differential Equations Test - 2

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The degree of the differential equation {1 + (dy/dx)²}^5/3 = d²y/dx² is

A
1

B
3

C
5

D
4
Question 2
1 / -0

The differential equation of y = cx + 2c² is

A
y = (dy/dx) + 2(dy/dx)²

B
y = x * (dy/dx) + (dy/dx)²

C
y = x * (dy/dx) + 2(dy/dx)

D
y = x * (dy/dx) + 2(dy/dx)²
Question 3
1 / -0

The differential equation of all parabola whose axis of symmetry is along x-axis is of order

A
2

B
3

C
1

D
4
Question 4
1 / -0

The degree of the differential equation (d²y/dx²)³ + (dy/dx)⁴ - x² y⁵ = 0

A
4

B
5

C
3

D
not defined
Question 5
1 / -0

The order and degree of the differential equation d⁴y/dx⁴ = y + (dy/dx)⁴ are respectively

A
2,4

B
4,1

C
4,2

D
2,2
Question 6
1 / -0

Degree of the differentiable equation log d² y / dx² + sin (dy/dx) = cos³y is

A
1

B
2

C
0

D
not defined
Question 7
1 / -0

The general solution of the differential equation dy/dx = x² /y² is

A
x² - y² = C

B
x³ - y³ = C

C
y³ + x³ = C

D
y³ - x³ = C
Question 8
1 / -0

The differential equation of the family of all circles with centre at origin is

A
x + y₁ = 0

B
x + yy₁ = 0

C
x - yy₁ = 0

D
none of these
Question 9
1 / -0

The slope at any point of a curve y = f (x) is given by dy/dx = 3x² and it passes through ( - 1,1) . The equation of the curve is

A
y = x³ + 2

B
y = - x³ - 2

C
y = 3 x³ + 4

D
y = - x³ + 2
Question 10
1 / -0

Solution of the differential equation dy/dx = 1 + xy is

A
y = ce ^{- x^2/2}

B
y = ce^{x^2/2}

C
y = (x+c) e ^{-x^2/2}

D
none of these

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Differential Equations Test - 2

Result

Differential Equations Test - 2

Score

-

Rank

-

SHARING IS CARING

Question 1

1

3

5

4

Question 2

y = (dy/dx) + 2(dy/dx)2

y = x * (dy/dx) + (dy/dx)2

y = x * (dy/dx) + 2(dy/dx)

y = x * (dy/dx) + 2(dy/dx)2

Question 3

2

3

1

4

Question 4

4

5

3

not defined

Question 5

2,4

4,1

4,2

2,2

Question 6

1

2

0

not defined

Question 7

x2 - y2 = C

x3 - y3 = C

y3 + x3 = C

y3 - x3 = C

Question 8

x + y1 = 0

x + yy1 = 0

​​​​​x - yy1 = 0

none of these

Question 9

y = x3 + 2

y = - x3 - 2

y = 3 x3 + 4

y = - x3 + 2

Question 10

y = ce - x2/2

y = cex2/2

y = (x+c) e -x2/2

none of these

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.

y = (dy/dx) + 2(dy/dx)²

y = x * (dy/dx) + (dy/dx)²

y = x * (dy/dx) + 2(dy/dx)²

x² - y² = C

x³ - y³ = C

y³ + x³ = C

y³ - x³ = C

x + y₁ = 0

x + yy₁ = 0

x - yy₁ = 0

y = x³ + 2

y = - x³ - 2

y = 3 x³ + 4

y = - x³ + 2

y = ce ^{- x^2/2}

y = ce^{x^2/2}

y = (x+c) e ^{-x^2/2}