Use power series to solve y" +x² y = 0 with the initial condition y(0) = a and y' (0) = b. %3D

y' - (1/4t+64)y = 60 ; y(0) = 0

A medical study has shown that the first 20 days of radiation therapy, a particular type of malignant tumor decreases at a rate according to the function M'(t) = (-0.024t^2) + (0.01t) , where M represents the mass (in grams) of the tumor and t is the time (in days) since the beginning of the radiation treatment. If a tumor of this particular type has a mass of 200 grams just prior to the start of radiation treatment, answer the following. Round to 1 decimal place.    a.) At what rate will the tumor be changing in 5 days?  ______grams per day b.)  At what rate will the tumor be changing in 10 days?  ______grams per day  c.) What will the mass of the tumor be in 5 days?  ______grams  d.) What will the mass of the tumor be in 10 days?  ______grams

Find y' if y= y'=0 - 14 3√x