1 :For linear differential equations with constant coefficients
For dynamic systems (electrical, mechanical, control systems)
For discontinuous or piecewise inputs ➡️ It converts differential equations into algebraic equations
2:Initial conditions appear directly in the transformed equation
No need to compute integration constants ➡️ Initial conditions are handled automatically
3 :RLC electrical circuit ➡️ The differential equation becomes an algebraic equation in the �-domain, making the solution ea
4 :Not suitable for nonlinear equations
Less effective for variable coefficients
Not ideal for spatial boundary-value problems ➡️ The Laplace transform is not universal
For dynamic systems (electrical, mechanical, control systems)
For discontinuous or piecewise inputs ➡️ It converts differential equations into algebraic equations
2:Initial conditions appear directly in the transformed equation
No need to compute integration constants ➡️ Initial conditions are handled automatically
3 :RLC electrical circuit ➡️ The differential equation becomes an algebraic equation in the �-domain, making the solution ea
4 :Not suitable for nonlinear equations
Less effective for variable coefficients
Not ideal for spatial boundary-value problems ➡️ The Laplace transform is not universal