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Roots of Equation - Non-Linear Equation (Newton Raphson Method)

x12+x1x2=10(eq. 1)x_1^2 + x_1x_2 = 10 \tag{eq. 1} x2+3x1x22=57(eq. 2) x_2 + 3x_1x_2^2 = 57 \tag{eq. 2} Solve the non-linear set of equations\text{Solve the non-linear set of equations} Take initial guess: x1=1.5,x2=3.5 \text{Take initial guess: } x_1=1.5, \quad x_2 = 3.5 Find 2nd iteration of x1 using Newton Raphson method\text{Find 2nd iteration of } x_1 \text{ using Newton Raphson method}
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x12+x1x2=10(eq. 1)x_1^2 + x_1x_2 = 10 \tag{eq. 1} x2+3x1x22=57(eq. 2) x_2 + 3x_1x_2^2 = 57 \tag{eq. 2} Solve the non-linear set of equations\text{Solve the non-linear set of equations} Take initial guess: x1=1.5,x2=3.5 \text{Take initial guess: } x_1=1.5, \quad x_2 = 3.5 Find 2nd iteration of x2 using Newton Raphson method\text{Find 2nd iteration of } x_2 \text{ using Newton Raphson method}
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