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ODE: Runge Kutta 2^nd method for 2^nd order equation (System of ODE)

x_1 = 0,\ \ y_1 = 0,\ \ z_1 = 0

\frac{dy}{dx} = f(x,y,z) = x+z

\frac{dz}{dx} = g(x,y,z) = (1.5z - 4.5y +4.5)

Find\ y(0.5)

Given,\ \ n = 2

a: 0.778 Explanation

Explanation

b: 1.342 Explanation

Explanation

c: 1.897 Explanation

Explanation

d: 0.124 Explanation

Explanation

x_1 = 0,\ \ y_1 = 1,\ \ z_1 = 1

\frac{dy}{dx} = f(x,y,z) = yz

\frac{dz}{dx} = g(x,y,z) = xy

Find\ y(0.2)

Given,\ \ n = 2

a: 1.99 Explanation

Explanation

b: 1.22 Explanation

Explanation

c: 2.21 Explanation

Explanation

d: 2.89 Explanation

Explanation