Question

6. Which method is not applicable for solving differential equation ?
(a) Euler's method
(b) Picard's method
(c) Runge-Kutta method
(d) Gauss-Seidal method.​

Answer 1

From the given question the correct answer is:

(d) Gauss-Seidal method is not applicable for solving a differential equation.

• this is used to solve a linear equation. The Gauss-Seidel method is an iterative technique for solving a square system of n (n=3) linear equations with unknown x.

• Euler's method is used for approximating solutions to certain differential equations and works by approximating a solution curve with line segments.

• The Picard’s method is an iterative method . This method of solving a differential equation approximately is one of successive approximation

• The Runge Kutta method finds approximate value of y for a given x. Only first order ordinary differential equations can be solved by using the Runge Kutta 4th order method.

Answer 2

• The correct option is (d)  the Gauss-Seidel method.​

• Gauss-Seidel method is not applicable for solving a differential equation.

• Gauss-Seidel method is used for solving a linear algebraic equation.

• We know that it is also known as the Liebmann method.

• With the help of the Gauss-Seidel method, we can calculate a linear equation.