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6) Use Laplace transform to solve the following The motion of a body falling in a resisting medium may be described by d² X(t) m dt² =mg-b when the retarding force is proportional to the velocity. Find X(t) and dX(t)/dt for the initial conditions X(0)= dX dt dX(t) dt t=0 = 0.

6) Use Laplace transform to solve the following The motion of a body falling in a resisting medium may be described by d² X(t) m dt² =mg-b when the retarding force is proportional to the velocity. Find X(t) and dX(t)/dt for the initial conditions X(0)= dX dt dX(t) dt t=0 = 0.

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(6) Mathematical Physics

Topic: Fourier and Laplace Transform and their Applications 

 

6) Use Laplace transform to solve the following The motion of a body falling in a resisting medium may be described by d²X (t) = mg - b dt² m- when the retarding force is proportional to the velocity. Find X (t) and dX(t)/dt for the initial conditions X (0) = dX dt dX(t) dt =0 = 0.
Transcribed Image Text:6) Use Laplace transform to solve the following The motion of a body falling in a resisting medium may be described by d²X (t) = mg - b dt² m- when the retarding force is proportional to the velocity. Find X (t) and dX(t)/dt for the initial conditions X (0) = dX dt dX(t) dt =0 = 0.
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