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

Showing 21 to 30 out of 34 Questions

21.

Solution of the differential equation

x \frac{d y}{d x} + y = 0

is .....

22.

The solution of the differential equation

\frac{d y}{d x} + \frac{2 y}{x} = 0

is .....

23.

The solution of the differential equation

2 x \frac{d y}{d x} - y = 0; y (1) = 2

represents ......

24.

Solution of

\frac{d y}{d x} + 3 y = e^{2 x}

is .....

25.

Which is Bernoulli’s equation?

26.

Solution of

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

is ......

27.

Solution of

\frac{d y}{d x} + \frac{1}{x} = \frac{e^{y}}{x^{2}}

is ......

28.

Is equation

(x^{3} + 3 x y^{2}) d x + (y^{3} + 3 x^{2} y) d y = 0

exact?

(a)	Yes
(b)	No

29.

Is equation

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

exact?

(a)	No
(b)	Yes

30.

Condition for exactness for differential equation

M d x + N d y = 0

is ....

(a)	$M d x = - N d y$
(b)	$\frac{\partial M}{\partial x} = \frac{\partial N}{\partial y}$
(c)	$\frac{\partial M}{\partial y} = \frac{\partial N}{\partial x}$
(d)	$M = N$

Showing 21 to 30 out of 34 Questions