Question

Take suitable number of cards given in the adjoining diagram [G (x x x) representing x'. R (x x 1) representing x and Y (1 x 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: (i) 2x + 6x + 4 (i1) x + 4x + 4.

Answer 1

Answer:

y=e

x

(acosx+bsinx)

y

′

=e

x

(acosx+bsinx)+e

x

(asinx+bcosx)

y

′′

=e

x

(acosx+bsinx)+e

x

(−asinx+bcosx)+e

x

(−asinx+bcosx)+e

x

(−acosx−bsinx)

y

′′

=e

x

(acosx+bsinx)±,ey

y

′′

=y−2y

′

.