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If y=2x+Cex is a solution of the differential equationdydx−y=2(1−x) then find the particular solution satified by x=0, y=3
: Find the general solution of y′−2xy=1
How can I transform a surge function (y=axe^-bx) horizontally and vertically? Does a surge function always have to go through the origin?
Math
Determine a unique polynomial f(x) of degree ≤ 3 such that f(x0)=1, f'(x0)=2, f(x1)=2, f'(x1)=3 where x1-x0=h
Math
Determine the spacing h in a table of equally spaced values for the function f(x)= (2+x)^4 , 1≤x≤2, so that the quadratic interpolation in this table satisfies | error | ≤ 10^-6.
Math
Find the solution of the difference equation y [(k+2) subscript] - 4y [(k+1) subscript] +4y [(k) subscript] =0 k =0,1,...... Also find the particular solution when y[(0) subscript] =1 and y[(1) subscript] = 6.
Math
Use Runge-Kutta method of order four to solve y'=x+y. Start with x=1, y=0 and carry to x = 1.5 with h = 0.1
Math
Using sin(0.1)= 0.09983 and sin (0.2)=0.19867, find the approximate value of sin(0.15) by using Langrange interpolation. obtain a bound on the truncation error.
Math
Find the minimum number of intervals required to evaluate ∫(0,1) e^(-x)^2 dx with an accuracy of 0.5 X 10^-4 , by using the Trapezoidal rule.
Math
Obtain an approximate value of ∫0-1 (dx)/(1+x^2) using composite Simpson’s rule with h =0.25 and h = 0.125 . Find also the improved value using Romberg integration.
