+ 4. In each case, find a second order, linear, homogeneous ODE that has the given pair of functions as its solutions. Then show that the pair forms a fundamental set of solutions. (a) y₁ = 2e³t - 5e-t, y₂ = 11e-t (b) y₁ = cos(πt), y₂ = sin(nt) Y2 (c) y₁ = e²t cos(5t), y2 = e²t sin(5t) (d) y₁ = e³t, y₂ = te³t

+ 4. In each case, find a second order, linear, homogeneous ODE that has the given pair of functions as its solutions. Then show that the pair forms a fundamental set of solutions. (a) y₁ = 2e³t - 5e-t, y₂ = 11e-t (b) y₁ = cos(πt), y₂ = sin(nt) Y2 (c) y₁ = e²t cos(5t), y2 = e²t sin(5t) (d) y₁ = e³t, y₂ = te³t

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.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 44E

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