Evaluate f(0)= 10
Last edited by yoman360; March 27th 2010 at 02:23 PM.
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Originally Posted by yoman360 Evaluate f(0)=10 heres my attempt then after that i don't know what to do.
the integral equals and in order to have convergence, we require that exists.
Originally Posted by Drexel28 Good job seeing that! But why isn't it , instead of ?
Originally Posted by mathemagister Good job seeing that! But isn't it , not Isn't
Sorry, that's not what I meant. Please refer to my modified post. Thanks!
Originally Posted by mathemagister Sorry, that's not what I meant. Please refer to my modified post. Thanks! Isn't ?
Originally Posted by Drexel28 Isn't ? Haha! Wow, I'm really not into logarithms today... Thanks for clearing that up. Conventionally, are both forms equally simplified?
Originally Posted by mathemagister Haha! Wow, I'm really not into logarithms today... Thanks for clearing that up. Conventionally, are both forms equally simplified? Not being a conventionalist, I wouldn't know. I sometimes put it in a convoluted form to make the OP work. It's medicine for their soul.
Originally Posted by Drexel28 I don't understand how you got that
Originally Posted by yoman360 I don't understand how you got that Are you acquainted with the idea of separable ODEs?
Originally Posted by Drexel28 Are you acquainted with the idea of separable ODEs? I learned separable equations. Is that the same as separable ODEs?
Originally Posted by yoman360 I learned separable equations. Is that the same as separable ODEs? Don't ask me. . Integrate both sides with respect to .
Originally Posted by Drexel28 Don't ask me. . Integrate both sides with respect to . I actually see how you got that now f'(x)=x(1-f(x)) dy/dx=x(1-y) where y=f(x) then using the initial condition f(0) = 10 I can find C thanks for the help i think i can finish the problem from here but if i get stuck i will post it.
Last edited by yoman360; March 27th 2010 at 04:14 PM.
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