After selecting a character, the player then selects a starting stage through an overworld map.
To say that you have found the general homogeneous solution means that this function solves the homogeneous equation for every choice of the constant $C_1$ and every solution of the homogeneous equation is of this form for some choice of $C_1$. You can actually have more than one particular solution to a DEQ.
This lesson investigates finding analytical solutions to differential equations by using the TI-89's deSolve command and explores finding solutions to initial-value problems. An equation containing a derivative such as y' = 2 x, where y' denotes the derivative, is called a differential equation.