TRANSLATION: Derivate n+1 times the equation (t^2-1)v’(t) -2ntv(t)=0 to obtain the following:
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If a(alpha)= n, some of their solutions are polynomial. Show that p(t)=dˆn/dtˆn (tˆ2 - 1)ˆn is a solution by the follow equation
Legendre Polynomials
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TRANSLATION: Derivate n+1 times the equation (t^2-1)v’(t) -2ntv(t)=0 to obtain the following: ------------------------ If a(alpha)= n, some of their solutions are polynomial. Show that p(t)=dˆn/dtˆn...
If a(alpha)= n, some of their solutions are polynomial. Show that p(t)=dˆn/dtˆn (tˆ2 - 1)ˆn is a solution by the follow equation Legendre Polynomials. para obtener lo siguiente +(b) Derive n +1 veces la ecuación (-(0-2ntol) para obtener lo siguiente +(b) Derive n +1 veces la ecuación (-(0-2ntol)
If a(alpha)= n, some of their solutions are polynomial. Show that p(t)=dˆn/dtˆn (tˆ2 - 1)ˆn is a solution by the follow equation Legendre Polynomials ) =ア 교흙(t2-1)" son conocidos corno los polinomios de (d) Los polinomios P(t Legendre. Calcule los primeros cuatro polinomios P, P2, Ps, Ps ) =ア 교흙(t2-1)" son conocidos corno los polinomios de (d) Los polinomios P(t Legendre. Calcule los primeros cuatro polinomios P, P2, Ps, Ps
If a(alpha)= n, some of their solutions are polynomial. Show that p(t)=dˆn/dtˆn (tˆ2 - 1)ˆn is a solution by the follow equation Legendre Polynomials (e) Los polinomios de Legendre tienen una variedad amplia de aplicaciones aparte de tener aplicaciones en la solución de problemas de vibración de ondas y trans- ferencia de calor. También son útiles para crear reglas de integración numérica. manera de ejemplo, considere el polinomio P.(t). Sus raices son t1/3, veri- fique que f(-1/V3)+ f(-1/v3) da el...
Consider the differential equation (1 2 yay 0, where a E R is a constant. (a) By analysing the equation, show that there are two linearly independent power series solutions in powers of for la<1 (b) Find two linearly independent solutions. Note: The recurrence relation you derive should be the following (or equivalent to it) (n-a)(n a) an (n1)(n2) n 2 0. an+2 polynomial solution of (c) Show that if a is (nonnegative) integer n, then there is a degree...
2. In the lecture the general solution to the Legendre equation (1-z?)y', _ 2 ry, + n(n + 1)У-0.TIER. х є R series u(x) and ():(r) don(r) + of convergence of y1 (a), y2(z) considering: (i) the paraneter n is nonnegative înteger, n є N; (ii) the parameter n is not an integer, n ¢ Z. [Do not derive these series, refer to the relevant results obtained in lecture] 2. In the lecture the general solution to the Legendre equation...
Just the answer to check, please be clear. I will give you thumps up Immediately 3. Which ordered pair belongs to the graph of the product of (2x - 1) (2x + 1) 5. Which expression is the simplest form of the following sum of polynomials 6. The line y = x + 8 passes through the point (-1, 7). What is the equation that represents a line that passes through the same point? 7. Look at the diagram showing...