Differential Equations Test

Result

Differential Equations Test - 9

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

Which of the following is a homogeneous differential equation?

A
(xy) dx − (x³+ y³) dy = 0

B
(x³+ 2y²) dx + 2xy dy = 0

C
(4x + 6y + 5) dy − (3y + 2x + 4) dx = 0

D
y²dx + (x²− xy − y²) dy = 0

Solution

it is a homogeneous differential equation ,because the degree of each individual term is same i.e. 2.
Question 2
1 / -0

A first order linear differential equation, Is a differential equation of the form

A
dy/dx + Py = Q

B
dy/dx = Q

C
dy/dx + Py = 0

D
dy/dx + Px = Q

Solution

Here the degree and order of the equation is 1 and also is of the form dy/dx + Py = Q hence it is linear differential equation in first order
Question 3
1 / -0

Solution of dy/dx = sec y is

A
x = sin²y + C

B
x = cosy + C

C
x = siny + C

D
None of these

Solution

cosydy = dx

∫ cosydy = ∫ dx∫

siny + c = x