Well-stirred mixture
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 a rate of 1 L/min. How much brine remains when the tank is full? How concentrated is the remnant?
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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.
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