Question

Use Euler's method with step size 0.2 to estimate y(3), where y(x) is the solution of the initial-value problem y' = 3 − 3xy, y(2) = 0. (Round your answer to four decimal places.) y(3) =

Answer #1

sir if any mistake plz comment

Use Euler's method with step size 0.2 to estimate y(0.6) where
y(x) is the solution to the initial value problem y' = y+x^2, y(0)
= 3

Use Euler's method with step size 0.1 to estimate y(0.5), where
y(x) is the solution of the initial-value problem
y'=3x+y^2, y(0)=−1
y(0.5)=

Use Euler's method with step size 0.4 to estimate y ( 0.8 ) ,
where y ( x ) is the solution of the initial-value problem y' = 4x
+ y^2 ,
y ( 0 ) = 0 .
y ( 0.8 ) =_____________________

Use Euler's method to approximate y(0.2), where
y(x) is the solution of the initial-value
problem
y'' − 4y' + 4y = 0, y(0) = −3, y'(0) =
1.
Use
h = 0.1.
Find the analytic solution of the problem, and compare the
actual value of y(0.2) with y2. (Round
your answers to four decimal places.)
y(0.2)
≈
(Euler approximation)
y(0.2)
=
-2.3869
(exact value)
I'm looking for the Euler approximation number, thanks.

Use Euler's method with step size h=0.2 to approximate the
solution to the initial value problem at the points x=4.2 4.4 4.6
4.8 round to two decimal
y'=3/x(y^2+y), y(4)=1

Use Euler's Method with step size 0.12 to approximate y (0.48)
for the solution of the initial value problem
y ′ = x + y, and y (0)= 1.2
What is y (0.48)? (Keep four decimal places.)

(a) Use Euler's method with each of the following step sizes to
estimate the value of y(0.4), where y is the
solution of the initial-value problem
y' = y,
y(0) = 9.
(i) h = 0.4
y(0.4) =
(ii) h = 0.2
y(0.4) =
(iii) h = 0.1
y(0.4) =
(c) The error in Euler's method is the difference between the
exact value and the approximate value. Find the errors made in part
(a) in using Euler's method to estimate the true value...

Use Euler's method to approximate y(0.7), where y(x) is the
solution of the initial-value problem y'' − (2x + 1)y = 1, y(0) =
3, y'(0) = 1. First use one step with h = 0.7. (Round your answer
to
two decimal places.) y(0.7) = ? Then repeat the calculations
using two steps with h = 0.35. (Round your answers to two decimal
places.) y(0.35) = ? y(0.7) =?

Use Euler's method to approximate y(1.2), where
y(x) is the solution of the initial-value
problem
x2y'' − 2xy' + 2y = 0, y(1) =
9, y'(1) = 9,
where
x > 0.
Use
h = 0.1.
Find the analytic solution of the problem, and compare the
actual value of y(1.2) with y2. (Round
your answers to four decimal places.)
y(1.2)
≈
(Euler approximation)
y(1.2)
=
(exact value)

Given the initial value problem:
y'=6√(t+y), y(0)=1
Use Euler's method with step size h = 0.1 to estimate:
y(0.1) =
y(0.2) =

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