There is a printing mistake in your questions
(C+(A+B+1)) since it is hyper geometric equation
= Q4. Use the Frobenius method to find the general solution near x O of the...
Use the Frobenius method to find the general solution near x = 0 of the hypergeometric equation x(1 - x)y" + [C - (A + B +1)x]y' - ABy = 0 where A and B are any real numbers, and C is any real nonintegral number.
a) Use the Frobenius method to obtain the general solution of the following equation, valid near x=0. b) Exercise 4.4.7 Determine the two values of the constant a for which all solutions of can be written as v(x) = >A4r* k-0
2. Using the method of Frobenius, find the general solution about the point i = 0 of the ordinary differential equation 1 (1 - 4) y" - ry' +y = 0. Simplify your answer as much as possible and state the domain of validity. 110 3. Consider the general series solution about the point I = 0 of the ordinary differential equation e'y' + 2y = 0. Find the coefficients of all the terms of this series solution up to...
Use Frobenius method at x0 = 0 to find at least one solution to the followindg differential equatio on (0, ∞) x^2y'' + 3xy' + - 8y = 0 Use Frobenius method at xg=0 to find at least one solution to the following differential equation on (0;00) 2 y + 3xy' - Ay=0
the method of Frobenius to find solution (corresponding to bigger ) x=0 of xy + 2y + xy = 0 write complete solution with first terms (co, C₂) use one near 2
Use the power series method to find the general solution near x = 0 of (x2 + 4)y" + xy = x + 2.
9. Use the method of Frobenius to find a solution of 0. about the singular point x xy "+ (1 + x)y' 0. y 16x n 0 9. Use the method of Frobenius to find a solution of 0. about the singular point x xy "+ (1 + x)y' 0. y 16x n 0
section 1 problem 1 455 Section 8.6 Method of Frobenlus blems 13 and 14, use variation of p Prneral solution to the given equation for x >o. arameters to know, yid)-e is a solution to the equation ay" + by' +cy 0, where a, b, and c are cos stants. Use a derivation similar to the one given this section for the case when the indicial equat has a repeated root to show that a second line pendent solution is...
8.6.22 Question Help o Use the method of Frobenius and the larger indicial root to find the first four nonzero terms in the series expansion about x=0 for a solution to the given equation for x>0. xy"+y' - 5y = 0 What are the first four terms for the series? y(x) = + ... (Type an expression in terms of a, that includes all terms up to order 3.)
8.6.19 Question Help Use the method of Frobenius and the larger indicial root to find the first four nonzero terms in the series expansion about x=0 for a solution to the given equation for x > 0. 9x?y" + 6x?y' +2y = 0 What are the first four terms for the series? y(x) = 1 + (Type an expression in terms of a..) + ...