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haganmc Group Title

solve the seperable equation: dx/dt=3xt^2

  • 2 years ago
  • 2 years ago

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  1. alexwee123 Group Title
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    integral?

    • 2 years ago
  2. Yahoo! Group Title
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    Differentiate..lol

    • 2 years ago
  3. saadi Group Title
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    separate the variables (1/x)dx=3t^2dt integrate both sides can you do this ?

    • 2 years ago
  4. haganmc Group Title
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    i got it to ln(x)= t^3 +C

    • 2 years ago
  5. UnkleRhaukus Group Title
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    \[\frac{\text dx}{\text dt}=3xt^2\] \[\frac{\text dx}{x}=3t^2\text dt\] \[\int\frac{\text dx}{x}=\int3t^2\text dt\] \[\ln x=t^3+c\]

    • 2 years ago
  6. haganmc Group Title
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    how to i get from this to x=Ce^(t^3)

    • 2 years ago
  7. UnkleRhaukus Group Title
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    \[\ln x=t^3+c\]\[e^{\ln x}=e^{t^3+c}\]\[x=e^ce^{t^3}\]\[x=ke^{t^3}\]

    • 2 years ago
  8. saadi Group Title
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    ok now you can write in explicit form raise both sides to e power \[\Large e^{\ln(x)}=e^{t^3+C}\] \[\Large x=e^ce^{t^3}\] or \[\Large x=Ce^{t^3}\]

    • 2 years ago
  9. haganmc Group Title
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    thanks

    • 2 years ago
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