J_1(x) = (x^2/10)*(J_1(x) + J_3(x)) How to solve?

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} -... Read more