GATE 2016 Civil Engineering: Solution Form of Heat Equation ∂u/∂t=α∂²u/∂x²

Civil Engineering > GATE 2016 SET-1 > Calculus

The solution of the partial differential equation ∂u/∂t=α∂²u/∂x² is of the form

C cos(kt)[C₁e^(√k/α)x+C₂e^-(-√k/α)x]

Ce^kt[C₁e^(√k/α)x+C₂e^-(-√k/α)x]

Ce^kt[C₁cos(√k/α)x+C₂sin(-√k/α)x]

C sin(kt)[C₁cos(√k/α)x+C₂sin(-√k/α)x]

Correct : b

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