Mathematics, 20.09.2019 17:20 SupremeNerdx
using direct substitution, verify that y(t) is a solution of the given differential equations 17-19. then using the initial conditions, determine the constants c or c1 and c2.
17. y β²β² + 4y = 0, y(0) = 1, y β² (0) = 0, y(t) = c1 cos 2t + c2 sin 2t
18. y β²β² β 5y β² + 4y = 0, y(0) = 1, y β² (0) = 0, y(t) = c1et + c2e4t
19. y β²β² + 4y β² + 13y = 0, y(0) = 1, y β² (0) = 0, y(t) = c1e-2t cos 3t + c2e-3tsin 3t
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using direct substitution, verify that y(t) is a solution of the given differential equations 17-19....
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