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.
Hey Sarah :) Welcome to OpenStudy! Oh boy I thought we were starting from x=0, 15 steps, that woulda been brutal lol
Hi, thanks! Yeah that would have been bad
can u help me
Select all sets that contain the number 1/2. A. Integer B. Irrational C. Natural D. Rational E. Whole Select all that apply
Baby ask a new question on the left side :) Don't interrupt someone else's question silly!
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:\[\Large\rm y_{n+1}=y_1+h\cdot f(y_n,x_n)\]
Hmm let's see if we can figure this out..
my post does'nt work that why
So our starting point is \(\Large\rm y(1)=y_1=1\)
yes
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:\[\Large\rm y_2=y_1+\frac{1}{10}f(y_1,x_1)\]
\[\Large\rm f(y_1,x_1)=y'(y_1,x_1)=y'(1,1)=3(1)+2(1)(1)\]
Do you understand how I figured out that derivative value? :o
Too much crazy math stuff? Did you brain esplode already? :( uh oh
Yeah i do not understand
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