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In this paper we prove the Hyers-Ulam stability of the perfect linear differential equation f ( t ) y ″ ( t ) + f 1 ( t ) y ′ ( t ) + f 2 ( t ) y ( t ) = Q ( t ) , where f , y ∈ C 2 [ a , b ] , Q ∈ C [ a , b ] , f 2 ( t ) = f 1 ′ ( t ) − f ″ ( t ) and − ∞ < a < b < + ∞ . MSC:34K20, 26D10, 39B82, 34K06, 39B72.

Approximate perfect differential equations of second order