Mathematics, Differential Equations, Calculus, Physics, Classical Mechanics.
solution: Where c₁ and c₂ are constants. We can now express this in a more convenient way by making use of Euler’s formula on the two exponentials (For the derivation of Euler’s formula check this article): Where c₃ = c₁ + c₂ and c₄ = i(c₁ - c₂). Notice how in the third step I made of cos(-x) =