If y1 is a solution of y''' + p1(t)y'' + p2(t)y' + p3(t)y = 0, then the substitution y = y1(t)v(t) leads to the following second order equation for v': y1v''' + (3y1' + p1y1)v'' + (3y1'' + 2p1y1' + p2y1)v' = 0. Use the method of reduction of order above to solve the given differential equation. (2 − t)y''' + (2t − 3)y'' − ty' + y = 0, t < 2; y1(t) = et

Find the magnitude of the torque about p if an f = 80-lb force is applied as shown. (round your answer to the nearest whole number.) ft-lb

Terri makes a quilt using three sizes of fabric squares the side lenght of each fabric square is the square root of the area

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.