thanks
how the exponential equation is differentiated?
You should be excited to see the exponential; natural logarithms are again promising because they turn multiplication of inputs into addition of outputs, we want [MATH]k[/MATH] to be added rather than multiplied so that the differentiation wipes it out, and this natural log can cancel out the exponential quite nicely! I would start by moving [MATH]y_0[/MATH] to the left and taking the natural log of both sides.
That makes no sense. You have Y defined in terms of variables x and p while V is defined in terms of variable t.