Add 2 on both sides. x - 2 + 2 = 0 + 2. x = 2. x - 3 = 0. Add 3 on both sides. x - 3 + 3 = 0 + 3. x = 3. Hence the roots are 2, 2,3 and 3. After having gone through the stuff given above, we hope that the students would have understood "Factoring 4th degree polynomials". The fourth-order Runge-Kutta method (RK4) is a widely used numerical approach to solve the system of differential equations. In this module, we will solve a system of three ordinary differential equations by implementing the RK4 algorithm in MATLAB. x' = -5x + 5y y' = 14x - 2y - zx

up. Fourth order time-stepping in combination with spectral methods is benecial to numerically resolve the steep gradients in the oscillatory region. We compare the performance of several fourth order methods for the Korteweg-de Vries and the focusing and defocusing nonlinear Schr¤odinger equations in the small dispersion limit: an exponential

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