Reduce the second order differential equation (given in the image) to a system o

Question

Reduce the second order differential equation (given in the image) to a system of first order differential equations and solve the equations using the FOURTH ORDER Runge-Kutta Method for simultaneous equations, to evaluate y(1.2) taking h=0.2 and 0.1, using the following values:

a = + 10
b = + 3
c = + 30
k1 = + 25

k2 = - 4.5

Second Order Differential Equation:

y" + ay' + by = c

With Initial Conditions:

y(1) = k1, [(y')_x=1_] = k2

Consider the following second order diffrential equation d2y/dx2 + a dy/dx + by = 0 with the initial conditions y(1) = k1, (dy/dx)x=1 = k2. Reduce the second order diffrential equation to the system of first order diffrentia equation and solve the equation using the FOURTH ORDER Runge-Kutta method for simultaneous equation, to evaluate y(1.2) taking h = 0.2 and 0.1, using the following marked data.

Explanation / Answer

wiil u give the extra time for 1hour? i wiil solve it

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