Kernel: SageMath 9.0
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y(x) == _C3*x*e^(-x) + _C1*x*e^x + _C2*e^(-x) + _C4*e^(-5*x) + _C0*e^x
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[y(x) == 5/16*x*e^(-x)*y(0) - 5/24*x*e^x*y(0) - 1/4*x*e^(-x)*y1(0) - 1/4*x*e^x*y1(0) - 3/8*x*e^(-x)*y2(0) + 1/6*x*e^x*y2(0) + 1/4*x*e^(-x)*y3(0) + 1/4*x*e^x*y3(0) + 1/16*x*e^(-x)*y4(0) + 1/24*x*e^x*y4(0) + 1/64*(35*y(0) - 48*y1(0) - 6*y2(0) + 16*y3(0) + 3*y4(0))*e^(-x) + 1/576*(y(0) - 2*y2(0) + y4(0))*e^(-5*x) + 1/144*(65*y(0) + 108*y1(0) + 14*y2(0) - 36*y3(0) - 7*y4(0))*e^x,
y1(x) == -5/16*x*e^(-x)*y(0) - 5/24*x*e^x*y(0) + 1/4*x*e^(-x)*y1(0) - 1/4*x*e^x*y1(0) + 3/8*x*e^(-x)*y2(0) + 1/6*x*e^x*y2(0) - 1/4*x*e^(-x)*y3(0) + 1/4*x*e^x*y3(0) - 1/16*x*e^(-x)*y4(0) + 1/24*x*e^x*y4(0) - 1/64*(15*y(0) - 32*y1(0) + 18*y2(0) - y4(0))*e^(-x) - 5/576*(y(0) - 2*y2(0) + y4(0))*e^(-5*x) + 1/144*(35*y(0) + 72*y1(0) + 38*y2(0) - y4(0))*e^x,
y2(x) == 5/16*x*e^(-x)*y(0) - 5/24*x*e^x*y(0) - 1/4*x*e^(-x)*y1(0) - 1/4*x*e^x*y1(0) - 3/8*x*e^(-x)*y2(0) + 1/6*x*e^x*y2(0) + 1/4*x*e^(-x)*y3(0) + 1/4*x*e^x*y3(0) + 1/16*x*e^(-x)*y4(0) + 1/24*x*e^x*y4(0) - 1/64*(5*y(0) + 16*y1(0) - 42*y2(0) + 16*y3(0) + 5*y4(0))*e^(-x) + 25/576*(y(0) - 2*y2(0) + y4(0))*e^(-5*x) + 1/144*(5*y(0) + 36*y1(0) + 62*y2(0) + 36*y3(0) + 5*y4(0))*e^x,
y3(x) == -5/16*x*e^(-x)*y(0) - 5/24*x*e^x*y(0) + 1/4*x*e^(-x)*y1(0) - 1/4*x*e^x*y1(0) + 3/8*x*e^(-x)*y2(0) + 1/6*x*e^x*y2(0) - 1/4*x*e^(-x)*y3(0) + 1/4*x*e^x*y3(0) - 1/16*x*e^(-x)*y4(0) + 1/24*x*e^x*y4(0) + 1/64*(25*y(0) - 66*y2(0) + 32*y3(0) + 9*y4(0))*e^(-x) - 125/576*(y(0) - 2*y2(0) + y4(0))*e^(-5*x) - 1/144*(25*y(0) - 86*y2(0) - 72*y3(0) - 11*y4(0))*e^x,
y4(x) == 5/16*x*e^(-x)*y(0) - 5/24*x*e^x*y(0) - 1/4*x*e^(-x)*y1(0) - 1/4*x*e^x*y1(0) - 3/8*x*e^(-x)*y2(0) + 1/6*x*e^x*y2(0) + 1/4*x*e^(-x)*y3(0) + 1/4*x*e^x*y3(0) + 1/16*x*e^(-x)*y4(0) + 1/24*x*e^x*y4(0) - 1/64*(45*y(0) - 16*y1(0) - 90*y2(0) + 48*y3(0) + 13*y4(0))*e^(-x) + 625/576*(y(0) - 2*y2(0) + y4(0))*e^(-5*x) - 1/144*(55*y(0) + 36*y1(0) - 110*y2(0) - 108*y3(0) - 17*y4(0))*e^x]
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