Given a second order differential equation d°y dy 3 + 2y = 6 dt? dt where y(0)= 2 and y' (0) = 6 P+ 2s? (а) Using Laplace transform, y(t) = L-1 + Qs +R Determine the values of P, Q and R. just B |(b)...


Given a second order differential equation<br>d°y<br>dy<br>3<br>+ 2y = 6<br>dt?<br>dt<br>where y(0)= 2 and y' (0) = 6<br>P+ 2s?<br>(а)<br>Using Laplace transform, y(t) = L-1<br>+ Qs +R<br>Determine the values of P, Q and R.<br>just B<br>|(b)<br>Hence, from the answer part (a), shows that the solution of the second order<br>differential equation:<br>d'y<br>3 dy<br>dt?<br>+ 2y = 6<br>dt<br>is given by y (t) = A+ Be

Extracted text: Given a second order differential equation d°y dy 3 + 2y = 6 dt? dt where y(0)= 2 and y' (0) = 6 P+ 2s? (а) Using Laplace transform, y(t) = L-1 + Qs +R Determine the values of P, Q and R. just B |(b) Hence, from the answer part (a), shows that the solution of the second order differential equation: d'y 3 dy dt? + 2y = 6 dt is given by y (t) = A+ Be" – Cer where the values of A, B, C and D are to be determined.

Jun 11, 2022
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