numerical methods
posted by zefron .
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
Similar Questions

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? 
logarithmic eq:
3logx = 62x Thanks This is a problem that is best solved by iteration, or graphing. I recommend graphing. There is no closedform solution. You need to solve it by graphical or iteration (trial and error) methods. The answer is approximately … 
exponential eq: how to solve
4x^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. 
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 … 
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. Midpoint method with h= 10,5,4,2,1. 4. Trapezoidal method with h= 10,5,4,2,1. 5. Simpson's … 
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. Midpoint method with h= 10,5,4,2,1. 4. Trapezoidal method with h= 10,5,4,2,1. 5. Simpson's … 
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 … 
math
An initialvalue problem is given by the differential equation, f(x,y)=x(1y^2), y(1)=0.07 Use the Eulertrapezoidal method with a stepsize h = 0.1, to obtain the approximate value of y(1.1). Give your answer to 4 decimal places. 
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 … 
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)).