2. Consider ODE y" + 4y' + 3y : 0 (a) Find the two solutions y₁ (t) and y2 (t) of the ODE above and form its general solution. doesn't equal zero for all values of t (b) Verify that the Wronskian of y₁ and y2 (c) With initial conditions y(0) = 1, y'(0) = = -5, find the solution which satisfies the conditions.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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2. Consider ODE
y" + 4y' + 3y = 0
(a) Find the two solutions y₁ (t) and y2(t) of the ODE above and form its general solution.
(b) Verify that the Wronskian of y₁ and y2 doesn't equal zero for all values of t
(c) With initial conditions y(0) = 1, y'(0) = −5, find the solution which satisfies the conditions.
Transcribed Image Text:2. Consider ODE y" + 4y' + 3y = 0 (a) Find the two solutions y₁ (t) and y2(t) of the ODE above and form its general solution. (b) Verify that the Wronskian of y₁ and y2 doesn't equal zero for all values of t (c) With initial conditions y(0) = 1, y'(0) = −5, find the solution which satisfies the conditions.
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