Initial value problem through origin
, Through the origin
I have never done an initial value problem before, but I took it to mean that it gave me the initial value of the differential equation (0, 0) and that I should find the general value of the differential equation from it. Please correct me if I am wrong about this.
I started off by separating the variables:
I then integrated:
After dividing by -1 and taking the natural log I have:
Here is where my problem is, no matter what I plug in for c I cannot get the function to equal 0 when t = 0. Even for another value of t it does not seem to possible to get 0 with this differential equation.