Last Updated 10/31/2022

Sage Essentials
Section 8: Differential Equations

Solving Differential Equations: Initial Value Problems (IVP)

If initial values are given, we can solve the DE similarly.

Example 2

Solve the IVP $\frac{dy}{dx}=\frac{x}{y}$ , $y\left(4\right)=3$ .

The initial condition is when $x=4$, $y=3$. It is encoded with the argument ics=[4,3]within the desolve() command.

Try this!

Solve the IVP $y^{\prime }-3y=6$ , $y\left(0\right)=1$.