Mathematics, 24.02.2020 22:35 zach099

Given the first order IVP y′+6y={5x4e−6x,0,0≤x<1x≥1 with initial condition y(0)=2. (1) Find the explicit solution on the interval 0≤x<1 y(x)= e^(-6x)(x^5+2) . (2) Find the limx→1y(x)= 3e^-6 . (3) Then find the explicit solution on the interval x≥1 y(x)= 1+(3-e^6)e^(-6x) .

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Given the first order IVP y′+6y={5x4e−6x,0,0≤x<1x≥1 with initial condition y(0)=2. (1) Find the e...

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