Question

If the roots of the differential equation (D4 + 4) y = 0 solution ​

Answer 1

Answer:

Explanation:

(4+4)=0

44+4=0

The characteristic polynomial is fourth degree. It is not easy to compute the 4 roots of this equation, and the roots have both real and imaginary parts.

4+4=0

(2−2+2)(2+2+2)=0

1=(−1)−,2=(−1)+,3=1−,4=1+

The solutions are combinations of (cos()+sin())

.

()=−cos()+−sin()+cos()+sin()