Question

Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and y4 of the solution of the initial-value problem y' = y − 3x, y(3) = 2.

y1 =

y2 =

y3 =

y4 =

Answer #1

Given -

Step size 0.5

Using Euler formula -

Use Euler's method with step size 0.5 to compute the approximate
y-values y1, y2, y3 and y4 of the solution of the initial-value
problem y' = y − 3x, y(4) = 0.y1 = y2 = y3 = y4 =

Use Euler's method with step size 0.5 to compute the approximate
y-values y1, y2,
y3 and y4 of the solution
of the initial-value problem y' = y − 2x, y(4) = 2.
y1= ?
y2 = ?
y3 = ?
y4 = ?

Use Euler's method with step size 0.5 to compute the approximate
y-values y1, y2,
y3 and y4 of the solution
of the initial-value problem
y' = y − 4x,
y(4) = 0.
y1 =
y2 =
y3 =
y4 =

Use Euler's method with step size 0.5 to compute the approximate
y-values y1 ≈ y(0.5),
y2 ≈ y(1), y3 ≈
y(1.5), and y4 ≈ y(2) of the
solution of the initial-value problem
y′ = 1 + 2x − 2y,
y(0)=1.
y1 =
y2 =
y3 =
y4 =

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 0.12 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.)

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

1. Use Euler's method
Find Y1,Y2, Y3
y'=Y-2X y(1)=0 h=.5
2. Solve
dy/dx= (xsinx)/y y(0)=-1

Use Euler's method to calculate the first three
approximations to the given initial value problem for the specified
increment size. Round your results to four decimal
places.
y' = 3xy - 3y, y(2) = 4, dx = 0.2
Group of answer choices
A)y1 = 6.4000, y2 = 11.0080, y3
= 20.2547
B)y1 = 8.0000, y2 = 12.3840, y3
= 52.8384
C)y1 = 4.8000, y2 = 6.8800, y3
= 79.2576
D)y1 = 1.6000, y2 = 11.0080, y3
= 42.2707

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

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