Laplace Transform

Initial Value Problem (IVP)

In the context of Laplace transforms, “IVP” typically refers to an Initial Value Problem. This is a differential equation coupled with specific values at a starting point (initial values).

First saw this term in MATH213, but CS370 also talks about this.

CS370

In general, we are interested in the problem of numerically solving an equation of the form $y^{\prime }(t)=f(t,y(t))\text{with}y(t_0)=y_0$

Translation

The rate that $y$ is changing is given by a function $f$, that depends on the current time t and value of y. We know $f$ and the starting value of $y$.