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Chebyshevs Differential Equation Math Assignment Docsity

Chebyshevs Differential Equation Math Assignment Docsity

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(1-x 2)y''-2xy'+2y=0

(1-x 2)y''-2xy'+2y=0-Y 22y12xy=0, from which y 2 2(x1)y1=0, from which y=1x±√((x1) 21) by the quadratic formula or alternatively, y=1x±√(x 22x) Either way, you can pick any value of one variable that makes sense in the expression, to get the corresponding value(s) of the other variable in the solution; Next, multiply 2 1 discusses Polynomials in one or more variable This is a 37 item multiple choice test Multiple Choice Math Problems with Solutions Games by same creator Games by same creator Here you will find our 2 Digit Multiplication Worksheet collection, which will help you learn to multiply 2digit numbers by 1 or 2 digits Online

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 See below Assuming a power series solution like this y = a_0 a_1 x a_2 x^2 a_3 x^3 ldots = sum_0^oo a_n x^n implies y^' = sum_1^oo n a_n x^(n1) qquad qquadDy dx P (x)y = Q(x) We have y' − 2xy = 1 with y(0) = y0 1 This is a First Order Ordinary Differential Equation in Standard Form So we compute and integrating factor, I, using;

Incoming Term: (1+x^2)y'-2xy=0, (1-x^2)y''-2xy'+2y=0, (1-x^2)y''-2xy'+2y=0 power series, (1-x^2)y''-2xy'+6y=0, (1-x^2)y''-2xy'+2y=0 power series solution, (1-x^2)y''-2xy'+12y=0, (1-x^2)y''+2xy'=0 y1=1, (1-x 2)y''-2xy'+2y=0, (1-x^2)y''-2xy'+n(n+1)y=0, (1-x^2)y''-2xy'+2y=0 y1=x,

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