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Mathematics, 26.03.2020 23:42 bluenblonderw

If y1 is a solution of y''' + p1(t)y'' + p2(t)y' + p3(t)y = 0, then the substitution y = y1(t)v(t) leads to the following second order equation for v': y1v''' + (3y1' + p1y1)v'' + (3y1'' + 2p1y1' + p2y1)v' = 0. Use the method of reduction of order above to solve the given differential equation. (2 βˆ’ t)y''' + (2t βˆ’ 3)y'' βˆ’ ty' + y = 0, t < 2; y1(t) = et

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If y1 is a solution of y''' + p1(t)y'' + p2(t)y' + p3(t)y = 0, then the substitution y = y1(t)v(t) l...
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