10Ma2aPrHW1 - Ma 2a P: Homework N.1 due Tuesday Oct 12, 12...

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Ma 2a P: Homework N.1 due Tuesday Oct 12, 12 noon 1. Solve the following differential equations: ty 0 + 2 y = t 2 - t + 1, for t > 0, with initial condition y (1) = 1 / 2; y 0 + 2 t y = cos( t ) t 2 , for t > 0, with initial condition y ( π ) = 0 xy 0 = (1 - y 2 ) 1 / 2 . 2. Brachistochrone problem: #32 p.67. 1 3. Solve the differential equation y 0 + p ( t ) y = q ( t ) with y (0) = 0, where p ( t ) = ( 2 0 t 1 1 t > 1 q ( t ) = ( 1 0
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