In Problems 3 5 − 3 8 , find solutions to given initial value problem. t y ″ − 2 y ′ + t y = 0 ; y ( 0 ) = 1 , y ′ ( 0 ) = 0 [ Hint: L 21 { 1 / ( s 2 + 1 ) 2 } ( t ) = ( sin t − t cos t ) / 2 .]
In Problems 3 5 − 3 8 , find solutions to given initial value problem. t y ″ − 2 y ′ + t y = 0 ; y ( 0 ) = 1 , y ′ ( 0 ) = 0 [ Hint: L 21 { 1 / ( s 2 + 1 ) 2 } ( t ) = ( sin t − t cos t ) / 2 .]
Solution Summary: The author explains how to solve the initial value problem using Laplace transformations.
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