MathCastle
Differential EquationsChallengeLaplace II: Steps, Impulses & Convolution

Laplace II: Steps, Impulses & Convolution · Challenge problem

Compute the convolution (1∗t)(t)=∫0t1⋅(t−τ) dτ(1 * t)(t) = \displaystyle\int_0^t 1\cdot(t - \tau)\,d\tau evaluated at t=2t = 2.