Given the recurrence relationship: (n + 2)(n + 1)an+2 – an = 0 for n = 0, 1, 2, … find a6 and a7 in terms of a0 and a1.

Find the particular solution to the given differential equation that satisfies the given conditions.y”+ 4y’ – 21y = 0; y’ = 0 and y = 1 when x = 0

Use Euler’s method to calculate the first three approximations to the given initial value problem for the specified increment size y’ = 2xy – 2y, y(0) = 3, h = 0.2

If you placed a drop of pond water on a slide with no cover, you would have trouble focusing on organisms in the water. This is because your microscope has a low ______

 Coral reefs are typically home to ____.  

Use the method of variation of parameters to solve the differential equation.y” + 2y’ – 15y = -60

Determine if the given differential equation is exact. (cos x + 2xey) + (sin x + x2ey – 1) y’ = 0

 Where in the ocean is oxygen most plentiful?

  One economical drawback of tidal power is that it ____.

Find the auxiliary equation for the following differential equation.x2y” + 4y’ + 2y = 6