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Linear Differential Equation in Strange Form

  • Thread starter Gooolati
  • Start date
  • #1
22
0

Homework Statement



ydx - 4(x + y^6)dy = 0


Homework Equations



Need to get into the form of dy[tex]/dx[/tex] + f(x)y = G(x)
(Standard Form)

The Attempt at a Solution



ydx = 4(x + y^6)dy

y = 4(x + y^6) dy/dx

y[tex]/4(x + y^6)[/tex] = dy/dx

then I don't know how to get it in the Standard form
All help is appreciated, thanks!
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
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You can't. That's not a linear equation to begin with ([itex]y^6[/tex] is not linear) and you can't just force it into "standard form" for a linear equation.
 
  • #3
22
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Oh I can see that now! I just wonder why it's in the Linear Equations section haha.
 
  • #4
38
0
See , sometimes in order to solve problems of this sort, we treat y as the independent variable and x as the dependent variable and convert it into a linear equation in the variable x.So now in place of dy/dx we have dx/dy and then we solve it using the integrating factor which in this case is 1/y.
 
  • #5
66
0
Try dx/dy -4/y*x = 4y^6
 

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