5.67   ODE No. 1515

$$\boxed{{\displaystyle x^3\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+3(1-a)x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(4b^2{c}^2{x}^{2c+1}+1-4{\nu }^2{c}^2+3a(a-1)x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+(4b^2{c}^2(c-a)x^{2c}+a(4{\nu }^2{c}^2-a^2))y\left(x\right)=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.121015 (sec), leaf count = 104 $$\text{DSolve}[y(x)(a(4c^2{\nu }^2-a^2)+4b^2{c}^2(c-a)x^{2c})+y^{\prime }(x)(3(a-1)ax+4b^2{c}^2{x}^{2c+1}-4c^2{\nu }^2+1)+3(1-a)x^2{y}^{″}(x)+x^3{y}^{(3)}(x)=0,y(x),x]$$

Maple: cpu = 0 (sec), leaf count = 0 $$\text{hanged}$$