Question

Differential equations involves an operator called_________ select one:



a. Arithmetic operator



b. Integral operator



c. Laplace operator



d. Differential operato

Answer 1

Differential equations involves an operator called d. Differential operator

Answer 2

Differential equations involves an operator called Laplace Operator

Function of Laplace Operator:

The Laplace transform is an essential and a powerful integral operator which is used to switch a function from the time domain to the s-domain. The Laplace operator is used in some cases to solve linear differential equations with given initial conditions.

Using Laplace Operator to Solve Differential Equations:

The Laplace Operator can be very vital in solving various differential equations using this four step process.

• Take the Laplace Operator of the differential equation using the derivative property as required.
• Substitute the given initial conditions into the resulting equation.
• Solve for the output result variable.

Hence, Laplace operators are used in solving various differential equations.