Question

solve the given problem attached above .
find general and auxillary solutions ​

Answer 1

Hii

You are welcome in my ans

Auxillary equation

M^2 + M +1= 0

Since

A = 1

B = 1

C= 1

Putting in formula we get

m= (-1+ isqrt3)/2 and( - 1 - sqrt3)/2

So

Y = e^-x/2[c1cossqrt3*x/2 + c2 sin sqrt3*x/2]

_/\_☹️

hope it may helps you

Answer 2

Hi mate ❤️❤️❤️❤️❤️❤️

Auxillary equation

=>D² + D+1= 0

Since

A = 1

B = 1

C= 1

Putting in formula we get

D= (-1+ isqrt3)/2 and( - 1 - sqrt3)/2

So

Y = e^-x/2[c1cossqrt3*x/2 + c2 sin sqrt3*x/2]