MCQs of Differential Equations of First Order (Mathematics - II - 3110015)

Showing 11 to 20 out of 34 Questions

11.

A solution of a D.E. in which the number of arbitrary constants is equal to the order of D.E. is called the …… solution.

12.

Choose the appropriate option for differential equation

e^{x} \frac{d y}{d x} + 3 y = x^{3} y

(a)	Neither Separable nor Linear
(b)	Both Linear and Separable
(c)	Linear but not Separable
(d)	Separable but not Linear

13.

Which of the following equation is linear?

14.

The differential equation

\frac{dy}{dx} = - \frac{x + y}{1 + x^{2}}

is ........

15.

The solution of

\frac{d y}{d x} = e^{x + y}

is .......

16.

The differential equation

y^{'} = x y, y (1) = 1

has ..........

(a)	Infinite number of solutions
(b)	No solution
(c)	A unique solution
(d)	Only two solution

17.

General solution of

9 y y^{'} + 4 x = 0

is .......

18.

The solution of

(1 + y^{2}) d x + d y = 0

is ......

19.

Which is the I.F. for differential equation

\frac{d y}{d x} + P y = Q

20.

Solution of

y^{'} - y = e^{2 x}

is ......

Showing 11 to 20 out of 34 Questions