Question

Use Euler's method with step size 0.1 to estimate y(1.5), where y(x) is the solution of the initial-value problem y' = 3y + 2xy, y(1) = 1.

Answer 1

Hey Sarah :) Welcome to OpenStudy!

Oh boy I thought we were starting from x=0, 15 steps, that woulda been brutal lol

Answer 2

Hi, thanks! Yeah that would have been bad

Answer 3

can u help me

Answer 4

Select all sets that contain the number 1/2.
A. Integer
B. Irrational
C. Natural
D. Rational
E. Whole

Select all that apply

Answer 5

Baby ask a new question on the left side :) Don't interrupt someone else's question silly!

Answer 6

So we have our derivative function in terms of the other two variables,\[\Large\rm y'=f(x,y)\]

Euler tells us an iterative method for approximating the solution:\[\Large\rm y_{n+1}=y_1+h\cdot f(y_n,x_n)\]

Answer 7

Hmm let's see if we can figure this out..

Answer 8

my post does'nt work that why

Answer 9

So our starting point is \(\Large\rm y(1)=y_1=1\)

Answer 10

yes

Answer 11

Ok so we're letting our step size be a tenth, that works out nicely.
So we'll take 5 steps then, counting by 1's.

So our first approximation will be:\[\Large\rm y_2=y_1+\frac{1}{10}f(y_1,x_1)\]

Answer 12

\[\Large\rm f(y_1,x_1)=y'(y_1,x_1)=y'(1,1)=3(1)+2(1)(1)\]

Answer 13

Do you understand how I figured out that derivative value? :o

Answer 14

Too much crazy math stuff?
Did you brain esplode already? :( uh oh

Answer 15

Yeah i do not understand

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Answer 21

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