using Laplace transform method to solve IVP dx/dt-2x=3(1-H(t-30),x(0)=1

Introduction: In this example, we will provide solution of the question using Laplace transform method to solve IVP dx/dt-2x=3(1-H(t-30),x(0)=1.Question: using Laplace transform method to solve IVP \[\frac{dx}{dt}-2x=3\left(1-H\left(t-30\right)\right), x\left(0\right)=1 \] where H is unit step function. Solution:We interested to solve IVP\[\frac{dx}{dt}-2x=3\left(1-H\left(t-30\right)\right),…

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