gabbifrankko2026 gabbifrankko2026
  • 11-09-2017
  • Mathematics
contestada

Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt−5x−4=05t^3dxdt−5x−4=0.

Respuesta :

Аноним Аноним
  • 21-09-2017
The constant solution is
x(t) = k

It satisfies the ODE
[tex]5t^{3} \frac{dx}{dt}-5x-4=0[/tex]

Because x' = 0, therefore
-5k - 4 = 0
k = - 4/5

Answer:  [tex]k=- \frac{4}{5} [/tex]


Answer Link

Otras preguntas

the algebraic expression 6(2x)+9x+3 represents the area of a rectangle .what is the the area of the rectangle when x =3 feet
vertical angles are always congruent true or false​
How are Chinese families today different from traditional Chinese families? plz help meh and hurry
A square has side length of 8 in. If the area is multiplied by 36, what happens to the side length? HELP PLEASE!! The side length is multiplied by 36. The side
Roosevelt decided to invade morocco and algeria because ____________________ and also __________________. Generals ___________ and ____________ pushed german tr
Which of the following is NOT a True statement about the life of Andrew Jackson? A) He taught himself enough law to practice on the frontier. B) He was a priso
Louis has three more quarters than dimes in his pocket, for a total of $1.80. Write an equation to represent the number of dimes , x, in his pocket.
what is a atom and what do atom do in the world ​
Show Expanded form for 7,080,266
"A new life awaits you in the off-world colonies" - from what movie is this quote?