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

what is the value of the expression 6^-7×6^4
if it rained 3 days out of 20 days,on what percent of the days did it rain
-5=3/4x-2 solve for x and please show your work!
can an oligarchy be like a dictatorship
What is the value of the expression? 9^8/9^-4 times 9^10 [tex] \frac{9^{8}}{9^{-4}} times 9^{10} [/tex] A. 9−48 B. 9−2 C. 92 D. 922
Which of these phrases best describes a uniting principle of the Progressive Era
Which Central Asian countries does the Aral sea border?
Between which of the following two nations or territories does Baffin Bay form a natural boundary?
Write an expression using variables to show how much 3plain t-shirts and 2printed shirts will cost assuming the prices are not the same
why is a rotten banana not a physical change