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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
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$\frac{dy}{dx}=e^{-4}\left(y-6\right)e^x$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(y-6)e^(x-4). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Calculate the power e^{-4}. Multiply the single term \frac{1}{e^{4}}e^x by each term of the polynomial \left(y-6\right). Rearrange the differential equation.