How do you take the 2nd derivative for a function without an x on the right side of the equation?
Ie: y'= 0.05y with y(0)=1000 which would yield y'(0)=50, right?
How do I find y'' for this equation?
Thank you,
Jen
How do you take the 2nd derivative for a function without an x on the right side of the equation?
Ie: y'= 0.05y with y(0)=1000 which would yield y'(0)=50, right?
How do I find y'' for this equation?
Thank you,
Jen
Hmm...this is what I think you should do.
I suggest you solve the differential equation with the initial condition
By separation of variables, this leads to
Integrate both sides, and we see that
Now applying the initial condition , you get
Thus, your function is
Now go ahead and find
Does this make sense? Can you take it from here?
Well, yes...thank you. I wish I could do it that way, but I forgot to mention that the answer must be computed using the Taylor series method.
I'm still not sure how to create derivatives up to the 4th power to make this equation work with Taylor series. Any suggestions?