By letting

we get derivatives


a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

Examine the lowest degree term
, which gives rise to the indicial equation,

with roots at r = 0 and r = 4/5.
b) The recurrence for the coefficients
is

so that with r = 4/5, the coefficients are governed by

c) Starting with
, we find


so that the first three terms of the solution are

Answer:
y=6x-4
(dark blue)
Step-by-step explanation:
x=0 y=-4
y=6x-4
y=6(0)-4
y=-4
Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0
(x+4)(x-2)=0
x=-4, x=2
Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17
y= -3(2)+5
y=-6+5
y=-1
Final answer: (-4,17) and (2,-1)
Answer:
105
Step-by-step explanation:
(.5)πr²
to get the area of the shaded parts you have to subtract the area of the semicircle from the area of the rectangle




subtract the areas

≅ 
Answer:
Step-by-step explanation: