Applied Mathematics for Electrical Engineering (3130908)

Numerical solution of Ordinary Differential Equations

BE | Semester 3 Unit : Numerical solution of Ordinary Differential Equations

Q3 (c ( i )) Winter-2019 Using Euler’s method find $y (0.2)$ , given that $\frac{dy}{dx} = y - \frac{2 x}{y}; y (0) = 1$ taking $h = 0.1$ .

Unit : Numerical solution of Ordinary Differential Equations

Q3 (c ( ii )) Winter-2019 State the formula for Runge-Kutta method of fourth order and use it to calculate $y (0.2)$ , given that $y^{'} = x + y, y (0) = 1$ taking $h = 0.1$ .

Unit : Numerical solution of Ordinary Differential Equations

Q4 (c ( i )) Winter-2019
Attempt the following.

Solve the Ricatti’s equation $y^{'} = x^{2} + y^{2}$ using the Taylor’s series method for the initial condition $y (0) = 0$ . Where, $0 \leq x \leq 0.2$ .

Unit : Numerical solution of Ordinary Differential Equations