SOLVE STEP BY STEP BY HAND (LEGIBLE) Solve the following systems of equations: EXERCISE 1. Convert the following system of linear differential equations to a higher order ODE and solve the corresponding ODE: [M] =² 3 M -3J

Solve for the solution of the following ODE.

Solve for the solution of the following ODE usingintegrating factor.

Show that H/B = H-h/W and then use this equation and the known values of B and H to express h in terms of w.

#6- show all work psyc stats

The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the actual speed in relation to the ground) is decreased by the speed of the wind. With a tailwind, ground speed is increased by the speed of the wind. Let A denote the airspeed of a plane and W the speed of the wind, both in miles per hour. Suppose it takes the plane 6 hours to travel the 720 miles from one town to another facing a headwind of W. The return trip, now with a tailwind of W, takes only 3 hours. (a) Express the ground speed on the trip out in terms of A and W. (b) Use the information from part (a) and the fact that distance equals rate times time to find an equation involving A and W for the trip out. (c) Express the ground speed on the return trip in terms of A and W. (d) Use the information from part (c) and the fact that distance equals rate times time to find an equation involving A and W for the return trip. (e) Find the airspeed and the speed of the wind. A = W =

The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the actual speed in relation to the ground) is decreased by the speed of the wind. With a tailwind, ground speed is increased by the speed of the wind. Let A denote the airspeed of a plane and W the speed of the wind, both in miles per hour. Suppose it takes the plane 9 hours to travel the 720 miles from one town to another facing a headwind of W. The return trip, now with a tailwind of W, takes only 6 hours. (a) Express the ground speed on the trip out in terms of A and W. A - W (b) Use the information from part (a) and the fact that distance equals rate times time to find an equation involving A and W for the trip out. 720 = 9(A - W) (c) Express the ground speed on the return trip in terms of A and W. A + W (d) Use the information from part (c) and the fact that distance equals rate times time to find an equation involving A and W for the return trip. 720 = 6(A+ W) (e) Find the airspeed and…

The airspeed of a plane is its speed in the absence of wind. With a headwind, ground speed (the actual speed in relation to the ground) is decreased by the speed of the wind. With a tailwind, ground speed is increased by the speed of the wind. Let A denote the airspeed of a plane and w the speed of the wind, both in miles per hour. Suppose it takes the plane 9 hours to travel the 720 miles from one town to another facing a headwind of W. The return trip, now with a tailwind of W, takes only 3 hours. (a) Express the ground speed on the trip out in terms of A and W. 720 = 9( A – W) (b) Use the information from part (a) and the fact that distance equals rate times time to find an equation involving A and W for the trip out. A – W = 80 (c) Express the ground speed on the return trip in terms of A and W. 720 = 3(4 + W)

Find x and y in terms of a and b.

Which equation can be use to represent the relationship between A and s for these squares