Solve the differential equation (x^2+3)y" - try' + 16y = 0, y(0) = -1, 7(0) = 3 by means of a power series about = 0. (a) find the recurrence relation, and also (b) find the first four nonzero terms in each of two linearly independent solutions.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

answer: huh

step-by-step explanation:

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step-by-step explanation:

good luck

i have no