anonymous
  • anonymous
Find f(x) if y = f(x) satisfies \frac(dy)(dx) = 45 yx^(14) and the y -intercept of the curve y = f(x) is 3 .
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\frac{ dy }{ dx }= 45yx ^{14}\]
anonymous
  • anonymous
isn't that stated in the proble,?
anonymous
  • anonymous
that's the question...

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anonymous
  • anonymous
if it is... then it is separable and you can integrate
anonymous
  • anonymous
just do implicit differentiation?
anonymous
  • anonymous
no... separate and integrate...\[\frac{ dy }{ dx }= 45yx^{14} \Rightarrow \frac{ dy }{ y }=45x^{14}dx\]
anonymous
  • anonymous
does this make sense?
anonymous
  • anonymous
OH yeah now I remember. Thank you!
anonymous
  • anonymous
the initial condition will help you determine what the constant should be.
anonymous
  • anonymous
yeah I forgot to separate my variables, that was really helpful!

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