MCQs of Ordinary Differential Equations of Higher Orders (Mathematics - II - 3110015) | GTU MCQ

Mathematics - II (3110015) MCQs

MCQs of Ordinary Differential Equations of Higher Orders

Showing 41 to 44 out of 44 Questions

41.

What is wronskian of 1,

e^{x}

?

(a)	$e^{x}$
(b)	$1 + e^{x}$
(c)	0
(d)	None of these

42.

The solution

y_{1} (x) & y_{2} (x)

are said to be L.I. if ......

(a)	$W (y_{1}, y_{2}) = 1$
(b)	$W (y_{1}, y_{2}) = 0$
(c)	$W (y_{1}, y_{2}) \neq 0$
(d)	None

43.

Solution of

y^{''} - 4 y^{'} + 4 y = \frac{e^{2 x}}{x}

is .....

(a)	$e^{2 x} (c_{1} + c_{2} x - x + x \log (x))$
(b)	$e^{2 x} (c_{1} + c_{2} x + x - x \log (x))$
(c)	$e^{x} (c_{1} + c_{2} x - x + x \log (x))$
(d)	$e^{- 2 x} (c_{1} + c_{2} x - x + x \log (x))$

44.

Solution of

x^{2} y^{''} - 2.5 x y^{'} - 2 y = 0

is .....

(a)	$c_{1} x^{- 4} + c_{2} \frac{1}{x}$
(b)	$c_{1} x^{4} + c_{2} \frac{1}{\sqrt{x}}$
(c)	$c_{1} e^{4 x} + c_{2} \frac{1}{e^{\frac{x}{2}}}$
(d)	None

Showing 41 to 44 out of 44 Questions