\[ \boxed { \left ( 2\,xy \left ( x \right ) +4\,{x}^{3} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}+112\,{x}^{2}y \left ( x \right ) =0} \]
Mathematica: cpu = 0.408552 (sec), leaf count = 1453 \[ \left \{\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,1\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,2\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,3\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,4\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,5\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,6\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,7\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,8\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,9\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,10\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,11\right ]\right \},\left \{y(x)\to \text {Root}\left [-1521681143169024 \text {$\#$1} x^{22}-697437190619136 \text {$\#$1}^2 x^{20}-145299414712320 \text {$\#$1}^3 x^{18}-18162426839040 \text {$\#$1}^4 x^{16}-1513535569920 \text {$\#$1}^5 x^{14}-88289574912 \text {$\#$1}^6 x^{12}-3678732288 \text {$\#$1}^7 x^{10}-109486080 \text {$\#$1}^8 x^8-2280960 \text {$\#$1}^9 x^6-31680 \text {$\#$1}^{10} x^4-264 \text {$\#$1}^{11} x^2-\text {$\#$1}^{12}+\frac {e^{30 c_1}}{x^6}\& ,12\right ]\right \}\right \} \]
Maple: cpu = 0.218 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{{x}^{28} \left ( {\it RootOf} \left ( {x}^{30}{{\it \_Z}}^{360}-24\,{x}^{30}{{\it \_Z}}^{330} -{\it \_C1} \right ) \right ) ^{330}}} \right \} \]