Mathematics · Differential Equations
λ ∈ &mathbb;R; के लिए, अवकल समीकरणों के निकाय पर विचार करें:
x'1 = x1 + 2x2 + 2x3
x'2 = 2x2 + x3
x'3 = -x1 + 2x2 + λx3
यदि x̅(t) = α̅ t e2t (किसी गैर-शून्य सदिश α̅ के लिए) इस निकाय का एक हल है, तो λ का मान किसके बराबर है?
x'1 = x1 + 2x2 + 2x3
x'2 = 2x2 + x3
x'3 = -x1 + 2x2 + λx3
यदि x̅(t) = α̅ t e2t (किसी गैर-शून्य सदिश α̅ के लिए) इस निकाय का एक हल है, तो λ का मान किसके बराबर है?
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