saykblahwah1758 saykblahwah1758
  • 13-09-2019
  • Mathematics
contestada

Find a general solution of y" + 4y = 0.

Respuesta :

jorgezarate
jorgezarate jorgezarate
  • 16-09-2019

Answer:

[tex]y(x)=C_{1}cos2x+C_{2}sin(2x)[/tex]

Step-by-step explanation:

It is a linear homogeneous differential equation with constant coefficients:

y" + 4y = 0

Its characteristic equation:

r^2+4=0

r1=2i

r2=-2i

We use these roots in order to find the general solution:

[tex]y(x)=C_{1}cos2x+C_{2}sin(2x)[/tex]

Answer Link

Otras preguntas

The sum of three consecutive integers is 180. What are the integers?
Sugar growers in Hawaiian Islands imported a majority of their field workers from what country? (3 points) Japan United States Mexico Cuba
What does Jody learn from running away after Flag dies and then returning home? A. Betrayal can shatter one's trust, integrity, and ability to forgive. B. The c
What does Jody learn from running away after Flag dies and then returning home? A. Betrayal can shatter one's trust, integrity, and ability to forgive. B. The c
Does the field of view get smaller or larger as you increase magnification
after the colonist won independence from Britain what was their main concern
Why did the Royal Proclamation happen
What's the nth term in this sequence 3 8 13 18 23 //If y=4x-1 find the value of y when x = -2
what is a linking verb
4ft & 3ft 1in = in inches