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ay′(x)+by(x)+y″(x)+tan(x)=0 ✓ Mathematica : cpu = 0.463967 (sec), leaf count = 1400
{{y(x)→e12(−a−a2−4b)xc1+e12(a2−4b−a)xc2+8(22F1(1,14i(a2−4b−a);14i(a2−4b−a)+1;−e2ix)a2−22F1(1,−14i(a+a2−4b);14(−ia−ia2−4b+4);−e2ix)a2−ibe2ix2F1(1,−ia4−14ia2−4b+1;−ia4−14ia2−4b+2;−e2ix)a+ibe2ix2F1(1,−ia4+14ia2−4b+1;−ia4+14ia2−4b+2;−e2ix)a−ib2F1(1,14i(a2−4b−a);14i(a2−4b−a)+1;−e2ix)a+2a2−4b2F1(1,14i(a2−4b−a);14i(a2−4b−a)+1;−e2ix)a+4i2F1(1,14i(a2−4b−a);14i(a2−4b−a)+1;−e2ix)a+ib2F1(1,−14i(a+a2−4b);14(−ia−ia2−4b+4);−e2ix)a+2a2−4b2F1(1,−14i(a+a2−4b);14(−ia−ia2−4b+4);−e2ix)a−4i2F1(1,−14i(a+a2−4b);14(−ia−ia2−4b+4);−e2ix)a+ia2−4bbe2ix2F1(1,−ia4−14ia2−4b+1;−ia4−14ia2−4b+2;−e2ix)+4be2ix2F1(1,−ia4−14ia2−4b+1;−ia4−14ia2−4b+2;−e2ix)+ia2−4bbe2ix2F1(1,−ia4+14ia2−4b+1;−ia4+14ia2−4b+2;−e2ix)−4be2ix2F1(1,−ia4+14ia2−4b+1;−ia4+14ia2−4b+2;−e2ix)−ia2−4bb2F1(1,14i(a2−4b−a);14i(a2−4b−a)+1;−e2ix)+4ia2−4b2F1(1,14i(a2−4b−a);14i(a2−4b−a)+1;−e2ix)−ia2−4bb2F1(1,−14i(a+a2−4b);14(−ia−ia2−4b+4);−e2ix)+4ia2−4b2F1(1,−14i(a+a2−4b);14(−ia−ia2−4b+4);−e2ix))(a2−4b−a)(−a+a2−4b−4i)(a+a2−4b)(a+a2−4b+4i)a2−4b}} ✓ Maple : cpu = 0.36 (sec), leaf count = 125
{y(x)=e−x2(a−a2−4b)_C2+e−x2(a+a2−4b)_C1−(∫tan(x)e−x2(−a+a2−4b)dxexa2−4b−∫tan(x)ex2(a+a2−4b)dx)e−x2(a+a2−4b)1a2−4b}
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