Questions from College Mathematics

Q: Is y = 8x + 8 a solution of the differential equation

Is y = 8x + 8 a solution of the differential equation

Q: Is y = 5ex2/2 a solution of the differential equation

Is y = 5ex2/2 a solution of the differential equation y’= xy? Explain.

Q: Is y = -2ex a solution of the differential equation y’’

Is y = -2ex a solution of the differential equation y’’ - 4y= + 3y = 0? Explain.

Q: Is y = e-3x a solution of the differential equation

Is y = e-3x a solution of the differential equation y( - 4y( + 3y = 0? Explain.

Q: Refer to the following slope fields: / Which

Refer to the following slope fields: Which slope field is associated with the differential equation dy/dx = -x? Briefly justify your answer.

Q: Use the limiting matrix P found for each transition matrix P in

Use the limiting matrix P found for each transition matrix P in Problems 29–34 to determine the long-run behavior of the successive state matrices for the indicated initial-state mat...

Q: Refer to the following slope fields: / Solve

Refer to the following slope fields: Solve the differential equation dy/dx = -x and find the particular solution that passes through (0, 3).

Q: Refer to the following slope fields: / Graph

Refer to the following slope fields: Graph the particular solution found in Problem 36 in the appropriate Figure A or B (or a copy).

Q: Find the general or particular solution, as indicated, for each

Find the general or particular solution, as indicated, for each differential equation.

Q: Find the general or particular solution, as indicated, for each

Find the general or particular solution, as indicated, for each differential equation.