- Consider The Equation Y Y 2y 0 Assume That Y T Et And Y T T Form A Fundamental Set Of Solutions E2t 1 (32.87 KiB) Viewed 12 times
Consider the equation y" - y' - 2y = 0. Assume that y₁ (t) = et and y₂(t) = ²t form a fundamental set of solutions. e2t
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Consider the equation y" - y' - 2y = 0. Assume that y₁ (t) = et and y₂(t) = ²t form a fundamental set of solutions. e2t
Consider the equation y" - y' - 2y = 0. Assume that y₁ (t) = et and y₂(t) = ²t form a fundamental set of solutions. e2t (b) Let Y3 (1) Y4 (t) = - 5e²t = y₁ (t) + 5y₂(t) y5 (t) = 5y₁ (1) = 5y₁ (t) - 5y3(t). Are y3 (1), y4 (t), and ys (t) also solutions of the given differential equation? O No O Impossible to tell O Yes