Is there any software to help with systems of differential equations?

Question

I am wondering if anybody knows of a computer software that can help calculate equations like: $$\frac{dx}{dt} + \frac{d^2y}{dt} = e^{4t}$$ $$\frac{dx}{dt} + x + \frac{dy}{dt} - y = 4e^{2t}$$

Answer 1

Consider using: https://www.wolframalpha.com/input/?i=differential+equation+solver, this should solve most of your problems.

Answer 2

Mathematica or Maple are good proprietary software with free trials that can solve this.

Sympy and Sage are good open source solutions that can try to solve this. Sage is more like Mathematica or Maple, Sympy is raw python code.