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13 Nov 2019
16, 17, 20
11, x(t) = Ce": x(0) = 5 12. P=C/t; P = 5 when t 3 13, y v2tfC; the solution curve passes through (1,3) Satishes the equation dP dt 7. Use implicit differentiation to show that za + y2 = r2 is T. 21S 13. a solution to the differential equation dy/day.14. Q 1/(Ct +C);:Q 4 when t 2 Problems 15. Show that y = A + Cekt is a solution to the equation 18. Suppose Q = Cekt satisfies the differential equation dy =k(y-A) dt -0.0302 dt What (if anything) does this tell you about the values of C and k? 16. Find the value(s) of w for which y cos wt satisfies 19. Find the values of k for which y z2 + k is a solution dt2 to the differential equation 17. Show that any function of the form Ci cosh wt + C2 sinh wt 20. For what values of k (if any) does y-5+ 3eka satisfy z the differential equation satisfies the differential equation x,,-w2x = 0. ey=10-2y dx
16, 17, 20
11, x(t) = Ce": x(0) = 5 12. P=C/t; P = 5 when t 3 13, y v2tfC; the solution curve passes through (1,3) Satishes the equation dP dt 7. Use implicit differentiation to show that za + y2 = r2 is T. 21S 13. a solution to the differential equation dy/day.14. Q 1/(Ct +C);:Q 4 when t 2 Problems 15. Show that y = A + Cekt is a solution to the equation 18. Suppose Q = Cekt satisfies the differential equation dy =k(y-A) dt -0.0302 dt What (if anything) does this tell you about the values of C and k? 16. Find the value(s) of w for which y cos wt satisfies 19. Find the values of k for which y z2 + k is a solution dt2 to the differential equation 17. Show that any function of the form Ci cosh wt + C2 sinh wt 20. For what values of k (if any) does y-5+ 3eka satisfy z the differential equation satisfies the differential equation x,,-w2x = 0. ey=10-2y dx
Jean KeelingLv2
25 Jul 2019