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TomLikesPhysics

  • 2 years ago

I need help with an implicit function.

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  1. TomLikesPhysics
    • 2 years ago
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    The function can be seen on the picture. I should show that y(0)=0 but I stuck at the step you see on the picture. It seems possible at that step that y(0)=0 is a solution but there still might be others too.

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  2. phi
    • 2 years ago
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    without knowing what y(x) looks like, the best we can say is the equation is true for y(0)=0

  3. ZeHanz
    • 2 years ago
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    I can follow all of your steps. The last one is: \[y(0)=\ln (1-y(0))\]Now consider this: there are three possibilities for y(0): 1. y(0)=0 2. y(0)>0 3. y(0)<0 Can you see where this leads to?

  4. ZeHanz
    • 2 years ago
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    Suppose y(0) = 0. Because ln(1-0)=ln(1)=0, this works. What about other values instead of 0? Why wouldn't that be possible?

  5. TomLikesPhysics
    • 2 years ago
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    Ah, I see. All the other possibilities are ruled out because otherwise the last equation would make no sense.

  6. TomLikesPhysics
    • 2 years ago
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    Thank you ZeHanz for your help.

  7. ZeHanz
    • 2 years ago
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    yw!

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