Question

Solve the following differential equation: x + 2x + 10x = e⁻¹, x(0) = 0, x(0) = 0 The foreing function e⁻ᵗ is given at t = 0 when the system is at rest.

Answer 1

To solve the differential equation x + 2x + 10x = e⁻¹, you can simplify the equation and isolate x to get x = e⁻¹/13.

Step-by-step explanation:

To solve the given differential equation x + 2x + 10x = e⁻¹, we can combine like terms to simplify the equation: 13x = e⁻¹. Next, we can divide both sides by 13 to isolate x: x = e⁻¹/13.