How to do this substitution?

Question:How to do this substitution?

Posted: ComputerUser 535 Product: Maple

February 26 2016

question1 := b(t)*(diff(c(t), t))*(diff(a(t), t))+a(t)*(diff(b(t), t))

how to subs(b(t)=0, question1) result in a(t)*(diff(b(t), t)) ?

in fact b(t) = 0 but diff(b(t), t) != 0

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