numerical methods

posted by .

x’ = 2x + 3y , x(0) = -2.7
y’ = 2x + y , y(0) = 2.8
[ 0 , 1 ] h = 0.05

EULER, RK4 AND TRAPEZOIDAL.. FIRST 10 ITERATION ONLY

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Would someone clarify this for me... Is antiderivatives just another name for intergral and why is intergral of a function is the area under the curve?
  2. logarithmic eq:

    3logx = 6-2x Thanks This is a problem that is best solved by iteration, or graphing. I recommend graphing. There is no closed-form solution. You need to solve it by graphical or iteration (trial and error) methods. The answer is approximately …
  3. exponential eq: how to solve

    4-x^2 = e^-2x please. This is a transidental equation. Numeric methods, such as iteration, or expanding functions to series and computing, or graphical methods can be used. I recommend graphical.
  4. math

    The base in the Sierpinski triangle has 1 white triangle and zero black triangles. The first iteration has 3 white triangles and 1 black triangle. The second iteration has 9 white triangles and 4 black triangles. The third iteration …
  5. Numerical method - numerical integration

    Evaluate the following integration: I(f) = integral sign from 0 to 20 of e^(-x) dx 1. Analytically 2. Rectangle method with h= 10,5,4,2,1. 3. Mid-point method with h= 10,5,4,2,1. 4. Trapezoidal method with h= 10,5,4,2,1. 5. Simpson's …
  6. Numerical method - numerical integration

    Evaluate the following integration: I(f) = integral sign from 0 to 20 of e^(-x) dx 1. Analytically 2. Rectangle method with h= 10,5,4,2,1. 3. Mid-point method with h= 10,5,4,2,1. 4. Trapezoidal method with h= 10,5,4,2,1. 5. Simpson's …
  7. numerical methods

    An 11m beam is subjected to a load, and the shear force follows the equation V(x)=5+0.25x^2 where V is the shear force, x is the length in distance along the beam, V=dM/dx where M is the bending moment M=Mo+integration of Vdx from …
  8. math

    An initial-value problem is given by the differential equation, f(x,y)=x(1-y^2), y(1)=0.07 Use the Euler-trapezoidal method with a step-size h = 0.1, to obtain the approximate value of y(1.1). Give your answer to 4 decimal places.
  9. Statics

    You have a stainless steel hollow rod (E=193GPa,ν=0.29) that has an inner radius r of 1.2cm, a wall thickness t of 0.7mm, and a length L of 5cm. Calculate the critical loads, in kN, for local buckling and Euler bucking (Pcr,local …
  10. trapezoidal method

    dy dt = 1 + (t − y)^2, t ∈ [2, 3], y(2) = 1 use a step size of h = 1 and the Trapezoidal method to calculate by hand a numerical value for Y1 (≈ y(t = 3)).

More Similar Questions