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

What is the equation of the line passing through (-3,-1) having slope 4?
List 3 effects of slavery in africa
Can someone check plz
What is the length of segment BC?
what are 5 things narrative text have that non-fiction don't
Write the following as a simplified fraction or mixed number (no improper fractions): 0.3 ​
Using Figure 1, which of the following does the Crime Scene Evidence belong to? * Suspect 1 Suspect 2 Suspect 3
ADD. a + ( -8a) The answer is....?
HELP PLEASE I HAVE 10 MINS
Change is the end result of all true learning. – Leo Buscaglia WRITE A SENTENCE EXPLAINING WHAT TOPIC WOULD THIS QUOTE APPLY TO.