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Use the limit comparison test to determine whether the series converges or
diverges.
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- obtain the solution of the differential equations of number 7solve the differential equation (3-x2)y''-3xy'-y=0 by means of power series about the ordinary point x=0 .Find the recurrence relation; also find the first four terms in each of two linearly independent solutions. If possible, find thegeneral term in each solution.Obtain a differential equation associated with the primitive Ax^2+By^3=9
- Let the ordinary differential equation of order 2: (1-x)y''+y=0 Suppose a power series solution around any ordinary point and determine the recurrence equation.(5) Obtain the particular solution satisying the indicated condition for the non-exact differential equationTest this DIFFERENTIAL EQUATION problem, if it is: 1. SEPARABLE 2. HOMOGENOUS 3. EXACT 4. LINEAR 5. BERNOULLI