Differential equation by using an appropriate substitution
Solve the given differential equation by using an appropriate substitution: -y dx + ( x + sqrt(xy)) dy = 0. The answer is 4x = y(ln|y| - c)^2 which I'm not getting using v=x/y. Please use detailed steps.
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Determine the maximum value and the minimum value of the function f(x) on the interval [-4, 4] for f(x) = 2x - 3x^2 - 36x.
Describe that if A is any 2x3 matrix, then there can't be a 3x2 matrix C such that CA=I. b) if A is a 2x3 matrix such that it is possible to compute a 3x2 matrix B such that AB=I, what can you say about the pivots of A?
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Suppose the equation a=y-msiny where 0,m,1 is given and is in the set [0,pi]. How would you write down this in the form of fixed point problem for solution y and show it has a unique solution?
On Jan 1, Alex received an inheritance of thirty-year annuity. Starting on the day of the inheritance, the annuity pays $1000 each Jan 1, $2000 each April 1, $1500 each July 1, and $3000 each October 1.
Take one step (by hand) with Newton's method starting with a guess of xo=1 c)take two steps (by hand) toward the root of f (i.e the minimum of h) using bisection with a=0 and b=4.
A franchise agreement between the parent company franchisor and the franchisees who operated 7-Eleven stores said that any dispute between the franchisor and franchisees would be settled by arbiration.
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