Question

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

Answer #1

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 − 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 − 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 0.5 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 =

Solve:
(2x^2 - y) dx + (x + y^2) dy = 0

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 the simplex method to solve the following problem.
Find y1≥0, y2≥0, and y3s≥0 such that
3y1+4y2≥12
3y1+y2≥16
and w=4y1+y2 is minimized
The minimum is w=____ when y1=____ and y2=____

Solve the bernoulli equation
dy/dx+y/x=x/y3

Using Euler's method Calculate the exact solution and
investigate the accuracy of your approximations. dy/dx=x-xy
y(1)=0
dx=0.2

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