If we are asked to solve the 1. Order Differential Equation y’+4y=8 we see that it is Linear in y and thus use option B in Differential Equations Made Easy at www.TiNspireApps.com as shown below:

Next enter the coefficients 4 and 8 and leave the 2. box empty since we are not given any initial conditions.

To get the general solution :

If we are given this first order homogeneous Differential Equation :

dy/dx + 5yx^3 = 0 we think of it as dy/dx = – 5yx^3 which calls for Separable Differential Equations which are solved using option 3 as follows :

Here we add an initial condition which allows to find a particular solution:

and finally the separation of variables method yields the particular solution: