Roots of the simultaneous nonlinear equations
Find out the roots of the simultaneous nonlinear equations (x-4)^2 + (y-4)^2 = 5 x^2 + y^2 = 16 Use a graphical approach to obtain your initial guesses. Determine refined estimates with the two-equation Newton-Raphson method.
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A population of fish in the lake grows at the rate proportional to its population. There are originally 600 fish in the lake and in the absence of any outside factors, the population will double in 4 months time
Find out the roots of the simultaneous nonlinear equations (x-4)^2 + (y-4)^2 = 5 x^2 + y^2 = 16 Employ a graphical approach to obtain your initial guesses.
Transform the homogeneous equation dy/dx=sqrt x^2+xy+y/2x+y into seperable first-order equation by using the appropriate substitution. You do not need to solve the resulting equation.
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