dy/dx=x+(y/(x^2))
where
y(1)=1.5
and
x=1(0.3)1.6
advanced euler method
dy/dx=x+(y/(x^2)) where y(1)=1.5 and x=1(0.3)1.6 advanced euler method
For the following differential equation: (x^3)dy/dx+y^4+3=0 where dy/dx is the first derivative of y with respect to x, () means power. The equation has initial values y=2.00 at x=1.00 Using Euler method with a step in the x direction of h=0.30: Show the equation to use to generate values of (2 marks) Calculate the missing values of y in the table below I .1.30 1.00 2.00 1.60 For (2 marks)
Please show steps. Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Euler's method is most nearly 5.333 1.010 -0.499 17.822 Given 3 dy/dx + 2xy^2 = 5x^2 - x + 1, where y(0) = 5 and using a step size of dx = 1, the value of y(1) using Runge-Kutta 4^th order method is most nearly 5.333 1.010 -0.499...
Help with these questions please. A mathematical model has been described by an engineer into the following differential equation: dy dx y(0) 2.5 Demonstrate an Euler method simulation of y versus x with a tabular algorithm using Ax 0.5 and 0.0 X 3.0. Demonstrate a 4th-order Runge Kutta method simulation of y versus x with a tabular algorithm using What can you say about y(x) and the methods used? a. b. Ax 0.5 and 0.0 3.0 x c. A mathematical...
The differential equation : dy/dx = 2x -3y , has the initial conditions that y = 2 , at x = 0 Obtain a numerical solution for the differential equation, correct to 6 decimal place , using , The Euler-Cauchy method The Runge-Kutta method in the range x = 0 (0.2) 1.0
dy Use Euler's Method with step size h = 0.2 to approximate y(1), where y(x) is the solution of the initial-value problem + 3x2y = 6x2, dx y(0) = 3.
1. Use Green's theorem to evaluate the integral $ xy dx - x^2 y^3 dy, where C is the triangle with vertices (0,0), (1,0) y (1,2)
(a) [1[*(2x*y + 4y2) dy dx (b) ["" ["(y cos(x) + 6) dy dx cos [**(buye* * *) ay ox (a) LiS.*r-* log(4) dy dx (-x log(y)) dy dx -Il
Find dy/dx by implicit differentiation. x?y? - y = x dy/dx =
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a) x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
Use Green's Theorem to calculate the line integral f. 2xy dx + 2(x+y) dy, where C is the unit circle centered at the origin and it is counter-clockwise oriented. $c 2xy dx + 2(x + y) dy =