Seperable first-order equation
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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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.
A population of fish in lake grows at the rate proportional to its population. There're originally 600 fish in the lake and in absence of any outside factors, the population will double in 4 months time
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.
Determine the approximate solution to the initial value problem dy/dx = 4x+1/2y;y(0)=1 at the point x = 1, using a single step of size h = 1.
A 200 liter tank initially haves 100 liters of pure brine. Pure water is added at the rate of 2 L/min, and well-stirred mixture is drained at the rate of 1 L/min. How much brine remains when the tank is full? How concentrated is the remnant?
Transform 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.
A vertical conical tank which is the 10ft tall with radius of 6 feet at the top is full of water. How much work is done to empty bottom two feet of water over the top of tank? THEN, empty the top two feet. Which takes more work?
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