Which of the following functions are solutions of the differential equation y" — 5y' + 4y = 0? - A. y(x) = 0 |B. y(x) = 4x □C. y(x) = €4x D. y(x) = e E. y(x) = xe OF. y(x) = x G. y(x) = e -4x

For which value of the constant c is the function y = 15e * + x + c a solution of the differential equation y = x – y + 26?

Solutions to the differential equation = xy also satisfy = y'(1+ 3x?y²). Let y = S(x) be a particular solution to the differential equation dx 3 xy with f(1) 2. (a) Write an equation for the line tangent to the graph of y = f(x) at x = 1. (b) Use the tangent line equation from part (a) to approximate f(1.1). Given that f(x) > 0 for 1 < x <1.1, is the approximation for f(1.1) greater than or less than f(1.1)? Explain your reasoning.