gabrielC06 gabrielC06
  • 03-04-2020
  • Mathematics
contestada

is y=x^3 a solution of the differential equation yy'=x^5+y

Respuesta :

LammettHash
LammettHash LammettHash
  • 16-04-2020

No; we have [tex]y=x^3\implies y'=3x^2[/tex]. Substituting these into the DE gives

[tex]3x^5=x^5+x^3[/tex]

which reduces to [tex]x^3=0[/tex], true only for [tex]x=0[/tex].

Answer Link

Otras preguntas

Which is an example of a direct quotation? A. According to my research, Zeus was instrumental in starting and ending the entire Trojan War. B. Greek scholars ag
Write a poetry under the topic of ‘Coronavirus’
Please help, answer both questions correctly and i'll give brainliest
True or False: The cell membrane consists of ONE layer of phospholipids. A. True B. False​
teachings of islam that relate to gender based violence​?
Susan spent fifty dollars of the $250 she had in her savings account. What percent of her money was still in the bank?*
Select the correct answer. Which of the following macronutrients provides structure to cells, tissue and muscle? A. Calcium B. Fat C. Carbohydrate D. Protei
You buy certain supplies in Nearland. Last year, the currency exchange rate was 1 USD = 3 NRD. Are these supplies more or less expensive to buy now than last ye
The Bronco Corporation exchanged land for equipment. The land had a book value of $125,000 and a fair value of $160,000. Bronco received $15,000 from the owner
8. The diagram below shows the shift in the spectrum for hydrogen light from several different sources in the universe. What is the best argument that can be ma