What is expand ((dy)/(dx)+y=e^x)e^x ?

The solution to expand ((dy)/(dx)+y=e^x)e^x is e^x(dy)/(dx)+e^xy=e^x

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expand ((dy)/(dx)+y=e^x)e^x

expand

(\frac{d y}{d x} + y = e^{x}) e^{x}

e^{x} \frac{d y}{d x} + e^{x} y = e^{x}

Solution steps

(\frac{d y}{d x} + y = e^{x}) e^{x}

= e^{x} (\frac{d y}{d x} + = e^{x} y)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = \frac{d y}{d x}, c = y = e^{x}

e^{x} \frac{d y}{d x} + e^{x} y = e^{x}

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What is expand ((dy)/(dx)+y=e^x)e^x ?
The solution to expand ((dy)/(dx)+y=e^x)e^x is e^x(dy)/(dx)+e^xy=e^x