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's 28/42 simplified
Which words in the sentence are the adverb clause? I gave the gift to my friend as soon as she opened the door. a. as soon as she opened the door b. to my frie
Which were disadvantages of farming on the Great Plains in the late 1800s? a. There were frequent crop failures due to lack of rain. b. Slow population growth a
Fiction is narrative prose whose purpose is to entertain. a. True b. False
What did Scottish queens wear in the 11th century
Surface waves cause the most damage, but they are ironically called _____. Loose waves Love waves Light waves Lemon waves
Some settlers were unhappy because they were forbidden from owning A.land B.slaves C.cotton D.tobacco
Sexual reproduction in paramecia is called _____. conjugation fission meiosis
Ice, plants and animals, gravity, running water, and wind are common agents of A: mechanical weathering B: carbonation C: exfoliation D: chemical weathering
Which of the following parts of the historian's argument is a piece of historical evidence? A. "Based on these points, he argues that the French Revolution prod