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Find the function satisfying the differential equation f′(t)−f(t)=6t

Find the function satisfying the differential equation f′(t)−f(t)=6t
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Find the function satisfying the differential equation f′(t)−f(t)=6t

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User Chriscosma
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Let f(t)=At+B, then f'(t)=A and A-At-B=6t, so A=-6=B and f(t)=-6t-6.
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User Atapaka
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