- #1
Pietair
- 59
- 0
Hello,
1st order autonomous, homogeneous differential equation have the general form:
[tex]\dot{x}(t)=ax(t)[/tex]
It can be shown that the unique solution is always:
[tex]x(t)=e^{at}x(t_{0})[/tex]
I don't get this, could anyone help me?
Thanks!
1st order autonomous, homogeneous differential equation have the general form:
[tex]\dot{x}(t)=ax(t)[/tex]
It can be shown that the unique solution is always:
[tex]x(t)=e^{at}x(t_{0})[/tex]
I don't get this, could anyone help me?
Thanks!