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Differential Equation with Boundary Condition ❓ What is the General Solu...
The characteristic equation for a first-order linear homogeneous differential equation is: r + 5 = 0 which has a root at r = -5 The form of the solution is then: y = Ce⁻ᶿᵗ where θ = a and a = 5 for this problem C is determined from the boundary condition. 1 = Ce⁻⁵(⁰) C = 1 Then, y = e⁻⁵ᵗ THE CORRECT ANSWER IS: (B)
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