Last Updated 10/31/2022

Sage Essentials
Section 8: Differential Equations

Solving Differential Equations (DE) for Symbolic Solutions

The desolve() command can be used to solve for first and second order DE symbolically.

Example 1

Solve the DE $\frac{dy}{dx}=\frac{x}{y}$ $$ .

We are solving for functions $y\left(x\right)$  that satisfy the DE. The first task is to define the symbolic function $y\left(x\right)$  in SageMath.

Next, we assign a name for the DE. In this case, we use the name “de”.

Finally, we execute the desolve() command.

Try this!

Solve the DE $\frac{dy}{dx}=y^2-4$ .