Equation with four bessel functions and a parameter

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If $a$ is a parameter how can I solve this equation:$$\left(\frac {x\left(J_{\frac 34}(\frac {x^2}{2})-J_{-\frac 54}(\frac {x^2}{2})\right)}{2J_a(\frac {x^2}{2})}-\frac{1}{2x}\right)^2-\ln \left(\left( \frac{xJ_a(\frac{x^2}{2})}{2}\right)\right)^2=x^2$$ ???