Consider the differential equation (a) Find 71, 72, roots of the characteristic polynomial of the equation above. T1, T2 = 1,2 (b) Find a set of real-valued fundamental solutions to the differential equation above. y₁ (t) = Y2 y₂ (t) = y(t) y" - 3y + 2y = 0. e^t = e^(2t) (c) Find the solution y of the the differential equation above that satisfies the initial conditions y(0) = -3, y' (0) = 4. M M Σ M

Consider the differential equation (a) Find 71, 72, roots of the characteristic polynomial of the equation above. T1, T2 = 1,2 (b) Find a set of real-valued fundamental solutions to the differential equation above. y₁ (t) = Y2 y₂ (t) = y(t) y" - 3y + 2y = 0. e^t = e^(2t) (c) Find the solution y of the the differential equation above that satisfies the initial conditions y(0) = -3, y' (0) = 4. M M Σ M

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 16E: Find the general solution for each differential equation. Verify that each solution satisfies the...

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