how to find Laplace transform of e^-at
Question : How to find Laplace transform of e^-at ? Using this find Laplace transform of (i) e^(-2t) (ii) e^(-4t) Solution : Laplace transform of a function f(t) is obtained…
how to find Laplace transform of e^at
Question : How to find Laplace transform of e^at ? Using this find Laplace transform of (i) e^(t) (ii) e^(3t) Solution : Laplace transform of a function f(t) is obtained…
how to solve second order ode by Laplace transform method example 2
Introduction : Here we present the step by step answer of the question how to solve second order ode by Laplace transform method example 2 given below. Question : how…
how to solve differential equation x”+4x=delta(t-2) x(0) =1 x'(0)=-2 by Laplace transform method
Introduction : Here we shall explain step by step answer of how to solve differential equation x''+4x=delta(t-2) x(0) =1 x'(0)=-2 by Laplace transform method. Question : How to solve differential…
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 \[\frac{dx}{dt}-2x=3\left(1-H\left(t-30\right)\right), x\left(0\right)=1 \]…
inverse Laplace transform example 2
Introduction : In this question, we will provide step by step solution of inverse Laplace transform example of the question which is to find Inverse Laplace transform of 12500/((s^2+100)(s^2+125))? Example…
What is Inverse Laplace transform of 150/(s^2+120)?
Introduction : In this question, we will provide step by step solution of the question What is Inverse Laplace transform of 150/(s^2+120)? Example 1 : What is Inverse Laplace transform…
How to find Laplace transform of sin(at+b) where a, b are constants and verify in MATLAB
Introduction : In this we derive the Laplace transform of sin(at+b) where a, b are constants. We will also obtain Laplace transform of sin(at+b) in MATLAB. Question: find Laplace transform…
How to find Laplace transform of cos(at+b) where a, b are constants
Introduction : In this we derive the Laplace transform of cos(at+b) where a, b are constants. We will also obtain Laplace transform of cos(at+b) in MATLAB. Question: find Laplace transform…
How to apply Laplace transform method to solve differential equation y”+3y’+3y=cos(2t)+delta(t-1) , y(0)=3, y'(0)=2?
Introduction : In this question, we are applying Laplace transform method to solve differential equation y''+3y'+3y=cos(2t)+delta(t-1) , y(0)=3, y'(0)=2?. Step by step solution is given below Question : Apply Laplace…