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Solve the following ODE, where δ(t) is the Dirac delta function with initial conditions y(0) = 0 and y′(0) = 0. y′′ + 2y′ − 15y = δ(t)

Solve the following ODE, where δ(t) is the Dirac delta function with initial conditions y(0) = 0 and y′(0) = 0. y′′ + 2y′ − 15y = δ(t)

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  1. (4 points) Solve the following ODE, where δ ( t ) is the Dirac delta function with initial conditions y ( 0 ) = 0 and y ′ ( 0 ) = 0 .
y ′ ′ + 2 y ′ − 15 y = δ ( t )

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