Can someone answer this question? stuck!
Find the solution u(t) of the ODE
$\displaystyle
3 \frac {d^2 x} {dt^2} - 2 \frac {du} {dt} - u = 0
$
which satisfies u = 1, $\displaystyle \frac {du} {dt} $ at t=0
Can someone answer this question? stuck!
Find the solution u(t) of the ODE
$\displaystyle
3 \frac {d^2 x} {dt^2} - 2 \frac {du} {dt} - u = 0
$
which satisfies u = 1, $\displaystyle \frac {du} {dt} $ at t=0
Is it meant to be $\displaystyle 3 \frac {d^2 {\color{red}u}} {dt^2} - 2 \frac {du} {dt} - u = 0$ ?
This is a second order homogenous linear differential with constant coefficients and there are a ton of websites that explain how to solve it.