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Test: Differential Equations- 1 - Question 1

Differential equations are equations containing functions y = f(x), g(x) and

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Test: Differential Equations- 1 - Question 4

Differential equation of the family of circles touching the y-axis at origin is

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Test: Differential Equations- 1 - Question 5

Which of the following is a homogeneous differential equation?

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Test: Differential Equations- 1 - Question 7

Particular solution of a given differential equation

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Test: Differential Equations- 1 - Question 8

Find a particular solution of = y tanx; y = 1 when x = 0

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Test: Differential Equations- 1 - Question 9

Differential equation of the family of parabolas having vertex at origin and axis along positive y-axis is

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Test: Differential Equations- 1 - Question 10

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

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Test: Differential Equations- 1 - Question 11

Degree of a differential equation, when the equation is polynomial equation in y′ is

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Test: Differential Equations- 1 - Question 12

The number of arbitrary constants in the general solution of a differential equation of fourth order are:

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Test: Differential Equations- 1 - Question 13

For the differential equation xy = (x+2) (y+2) find the solution curve passing through the point (1, –1).

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Test: Differential Equations- 1 - Question 14

Differential equation of the family of ellipses having foci on y-axis and centre at origin is

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Test: Differential Equations- 1 - Question 17

The number of arbitrary constants in the particular solution of a differential equation of third order are:

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Test: Differential Equations- 1 - Question 18

Find the particular solution of the differential equation log = 3x+4y, given that y = 0 and x = 0.

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Test: Differential Equations- 1 - Question 19

Find the equation of a curve passing through the point (0, 0) and whose differential equation is y′ = ex sin x.

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Test: Differential Equations- 1 - Question 23

In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2 = 0.6931).

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Test: Differential Equations- 1 - Question 24

Find the equation of a curve passing through the point (0, –2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

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