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y′(x)=−x(−F(y(x)−12e−x2x2)+e−x2x2−e−x2) ✓ Mathematica : cpu = 0.567191 (sec), leaf count = 361
Solve[∫1y(x)−F(K[2]−12e−x2x2)∫1x(e−K[1]2F′(K[2]−12e−K[1]2K[1]2)K[1]3F(K[2]−12e−K[1]2K[1]2)2−e−K[1]2(eK[1]2F(K[2]−12e−K[1]2K[1]2)+1)F′(K[2]−12e−K[1]2K[1]2)K[1]F(K[2]−12e−K[1]2K[1]2)2+F′(K[2]−12e−K[1]2K[1]2)K[1]F(K[2]−12e−K[1]2K[1]2))dK[1]+1F(K[2]−12e−x2x2)dK[2]+∫1x(e−K[1]2(eK[1]2F(y(x)−12e−K[1]2K[1]2)+1)K[1]F(y(x)−12e−K[1]2K[1]2)−e−K[1]2K[1]3F(y(x)−12e−K[1]2K[1]2))dK[1]=c1,y(x)] ✓ Maple : cpu = 0.759 (sec), leaf count = 34
{y(x)=x2e−x22+RootOf(x2−2∫_Z(F(_a))−1d_a+2_C1)}
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