Solve by picard's method ( until to 3-th aproximation) , y'=x+cos(y) , y(0)=1

We're generating a sequence of functions with

where , so that the sequence converges to as .

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Unless you're familiar with Fresnel integrals, you won't be able to simplify this any further.

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My computer takes a really long time to compute , and even longer to plot it, so I've ultimately omitted from the plot. (I wonder now if by "until to 3-th aproximation" it's intended that you only go up to ...)

I've attached a plot of the approximations (dashed and colored) along with a more precisely computed numerical solution (black)

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300