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(Solved): Solve the initial value problem, using the Laplace Transform. Only use the transforms listed on the ...


Solve initial value problem, using the Laplave tronsform \( y^{\prime}+y=0 \quad y(0)=0 \) Here \( f(t) \) is defined as \[ fCommon Laplace Transforms \[ \begin{array}{r} y(t) \rightarrow Y(s) \\ 1 \rightarrow \frac{1}{s} \\ t \rightarrow \frac{1}{s^Solve the initial value problem, using the Laplace Transform. Only use the transforms listed on the table provided please, and if the Heaviside function I have written is correct please work from there or correct it if it is wrong.

Solve initial value problem, using the Laplave tronsform \( y^{\prime}+y=0 \quad y(0)=0 \) Here \( f(t) \) is defined as \[ f(t)=\left\{\begin{array}{ll} t & 0 \leq t \leq 1 \\ 36 & 1


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