J[1, x] = (x^2/10)*(J[1, x] + J[3, x]) How to solve

qnach
Has any one any idea to solve this equation J[1, x] = (x^2/10)*(J[1, x] + J[3, x]), in which J are spherical Bessel function normally write as j_1 (x) and j_3(x) Methods 1 serial expansion: j_1(x) = \frac{\sin(x)}{(x)^2} - \frac{\cos(x)}{x} \approx \dfrac{x}{3} - \dfrac{(x)^3}{30} +... Read more