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Which substitution transforms the Cauchy's homogeneous linear differential equation x²y''+3xy'+2y=0 into an equation with constant coefficients?
Let x = eᵗ and set y as a function of t
Let y = xv and substitute for y
Let x =t² and write y as a function of t
Let x =log(t) and write y as a function of t
Let x = eᵗ and set y as a function of t
Practice and solve "Which substitution transforms the Cauchy's homogeneous linear differential equation x²y''+3xy'+2y=0 ..." for Part 5 Domain Knowledge - CIL MT Civil 2026. The correct answer is Option A: Let x = eᵗ and set y as a function of t. Detailed step-by-step solution, conceptual clarity, and formulas on Examoogle.
Practice and solve "Which substitution transforms the Cauchy's homogeneous linear differential equation x²y''+3xy'+2y=0 ..." for Part 5 Domain Knowledge - CIL MT Civil 2026. The correct answer is Option A: Let x = eᵗ and set y as a function of t. Detailed step-by-step solution, conceptual clarity, and formulas on Examoogle.
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