Unformatted text preview: Given the system impulse response, the step response found by solving the differential equation is the same as the one solved by convolution. In other words, convolution is nothing more than the particular solution of the differential equation! 3(35). Solve the differential equation, ), sin( ) ( 2 ) ( = + t t t y dt t dy , with ) ( = y , using classical techniques. Express your answer in the form, ) sin( ) ( + + =-t B Ae t y t . You need to find the numbers for the unknown constants, , , , B A . Express the phase shift, , in degrees. 1 t-1 ) ( t a 1 1 t-1 ) ( t b 1 ) ( t x LTI ) ( t y...
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- Spring '07
- LTI system theory, Impulse response