Calculus Lesson 25

y=sinx

For the differential equation xy'-3y+0, verify that  is a solution, and find the particular solution determined by the initial condition y=2 when x=-3

Sketch a Slope Field for the differential equation y'=x-y

Sketch a slope field for the differential equation y'=2x+y. Use the slope field to sketch the solution that passes through the point (1,1).

Determine the slopes (if possible) in the slope field at the points given in the table.

Determine the slopes (if possible) in the slope field at the points given in the table.

Remember!

Use Euler's Method to approximate the solution of the differential equation with n steps.

Use Euler's Method to approximate the solution of the differential equation with n steps.