What command would I use to ask maple to solve the following
$\displaystyle x''=\frac{t+1}{t}x'-\frac{1}{t}x$
with $\displaystyle x_1(t)=e^t$
I know about the dsolve command but I'm not sure how to tell it what the other solution is.
What command would I use to ask maple to solve the following
$\displaystyle x''=\frac{t+1}{t}x'-\frac{1}{t}x$
with $\displaystyle x_1(t)=e^t$
I know about the dsolve command but I'm not sure how to tell it what the other solution is.
Here is a screenshot of the maple commands.
maple.pdf
Now use set
$\displaystyle c_1=0\quad c_2=1$
this gives
$\displaystyle u(t)=(t+1)e^{-t}$
$\displaystyle y=u(t)e^{t}=(t+1)e^{-t}e^{t}=t+1$
So this is the other linearly independent solution.