husainconsul
husainconsul husainconsul
  • 03-01-2022
  • Mathematics
contestada

IF Y = e ^ (- 3x) then prove that (d ^ 2 * y)/(d * x ^ 2) + (dy)/(dx) - 6y = 0​

IF Y e 3x then prove that d 2 yd x 2 dydx 6y 0 class=

Respuesta :

Choncc
Choncc Choncc
  • 03-01-2022

Step-by-step explanation:

dy/dx = -3e^(-3x) = -3y

d^2y/dx^2 = 9e^(-3x) = 9y

The equality becomes

-3y +9y -6y = 0

Which is true, 0=0

Answer Link

Otras preguntas

The study of plate boundaries and the frequency of past earthquakes in order to forecast earthquakes is known as The study of plate boundaries and the frequency
what is meant by responsibilities and duties​
Given the differential Equation (dy/dx)+(2/x)y=x^2y^3 ;solve this equation using the Bernoulli method; Final answer should be (1/y^2)=?
A spring-loaded toy gun is used to shoot a ball of mass 1.5 kg straight up in the air, as shown. The spring has spring constant 777 N/m. If the spring is compre
A red train travelling at 72 km/h and a green train travelling at 144 km/h are headed toward each other along a straight, level track. When they are 950 m apar
It is legal to have a function with no arguments. TRUE FALSE
How can an environmental law affect a business
Use the given parent function f(x)=|x| to graph g(x)=|x|+5 Use the ray tool and select two points to graph each ray.
Which prophet did god instruct to eat a scroll?
What was Kentuck’s nickname for Tommy Luck?