Attachment 22522

Having some trouble, thanks. Im not sure what d_t(u) and :u(with the . above it) means. Would appreciate some help.

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- Oct 8th 2011, 01:40 PMsampfSolving 1st order ODE
Attachment 22522

Having some trouble, thanks. Im not sure what d_t(u) and :u(with the . above it) means. Would appreciate some help. - Oct 8th 2011, 04:14 PMAckbeetRe: Solving 1st order ODE
The symbol := means that the thing on the colon side is being defined as what's on the equals side. So the notation there is merely that

$\displaystyle \frac{du}{dt}$ is entirely equivalent to $\displaystyle d_{t}u,$ which is entirely equivalent to $\displaystyle \dot{u}.$

The actual differential equation is

$\displaystyle \dot{u}=g(t)u+h(t),\;u(0)=u_{0}.$

That, and the hint provided should get you started. What ideas do you have now? - Oct 8th 2011, 05:20 PMsampfRe: Solving 1st order ODE
Thanks, will give it a try!