Consider the differential equation ay′′ + by′ + cy = 0, where b2 − 4ac < 0 and the characteristic equation has complex roots λ ± iμ. substitute the functions u(t) = eλt cosμt and v(t) = eλt sinμt for y in the differential equation and thereby confirm that they are solutions.

Please see attachment

Step-by-step explanation:

Step-by-step explanation:

P(-1,1), Q(2,3), R(2,1)

Let P(-1,1)be x1and y1

Q(2,3)be x2 and y2

therefore, by distance formula

d(PQ)= root (x2-x1)^2+(y2-y1)^2

= root[ 2-(-1)] + (3-1)

=root (2+1)^2+2^2

= root (3square +2square )

= root 9+4

d( PQ) = root 13(1)

Now find distance QR and PR then prove that the three sides are not equal and therefore it is a scalene triangle

2nd also do the same.