We "demystify" it by looking for a magic multiplier. Imagine we multiply the whole equation by a mystery function $\mu(x)$. We want the Left Hand Side to look like the derivative of a product.
Solving differential equations involves finding a function that satisfies the equation. There are several techniques for solving differential equations, including: differential equations demystified pdf
Differential Equations Demystified: Your Self-Teaching Guide to Mastering ODEs We "demystify" it by looking for a magic multiplier
Chapter 2: First-Order Equations – The Foundation Chapter 3: Second-Order Equations – The Workhorses of Physics Chapter 4: Higher-Order Equations Chapter 5: The Power of Laplace Transforms Chapter 6: Systems of Differential Equations Chapter 7: Series Solutions and Special Functions Chapter 8: Partial Differential Equations (PDEs) Chapter 9: Numerical Methods – When Algebra Fails Appendix A: Review of Integration Techniques Appendix B: Table of Laplace Transforms differential equations demystified pdf