
Math 2142 Homework 4 Part 1: Due Friday March 11
... Therefore, the general solution to the homogeneous equation is c1 e−x + c2 e−2x . To guess a solution to the non-homogeneous equation, we try y = Ax2 + Bx + C. Calculating the derivatives, we have y 0 = 2Ax + B y 00 = 2A Plugging these values into the non-homogeneous equation gives us y 00 + 3y 0 + ...
... Therefore, the general solution to the homogeneous equation is c1 e−x + c2 e−2x . To guess a solution to the non-homogeneous equation, we try y = Ax2 + Bx + C. Calculating the derivatives, we have y 0 = 2Ax + B y 00 = 2A Plugging these values into the non-homogeneous equation gives us y 00 + 3y 0 + ...
... 9-5 Solving Quadratic Equations by Using the Quadratic Formula The discriminant is −14.91. Since the discriminant is negative, the equation has no real solutions. Thus, Eva will not reach a height of 10 feet. Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary ...