Given an initial value ( y(x_0) = y_0 ), Euler's method approximates the solution of the ODE by stepping forward in small increments. Consider the ODE: [ \frac{dy}{dx} = x + y ] with the initial ...
This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods are quite ...
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