What is expand ((dy)/(dx)-2y)e^{2x} ?

The solution to expand ((dy)/(dx)-2y)e^{2x} is e^{2x}(dy)/(dx)-2e^{2x}y

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expand ((dy)/(dx)-2y)e^{2x}

expand

(\frac{d y}{d x} - 2 y) e^{2 x}

e^{2 x} \frac{d y}{d x} - 2 e^{2 x} y

Solution steps

(\frac{d y}{d x} - 2 y) e^{2 x}

= e^{2 x} (\frac{d y}{d x} - 2 y)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{2 x}, b = \frac{d y}{d x}, c = 2 y

= e^{2 x} \frac{d y}{d x} - e^{2 x} \cdot 2 y

= e^{2 x} \frac{d y}{d x} - 2 e^{2 x} y

- \frac{2 ( - 2 x - 3 )}{x ^{4}}

h (t - 4) \cdot e^{t - 4}

(6 x + 4 z = 36) 2

e^{x} (a cos (x) + b sin (x))

n o t ab l es (2 - 5 x) (5 x + 2)

What is expand ((dy)/(dx)-2y)e^{2x} ?
The solution to expand ((dy)/(dx)-2y)e^{2x} is e^{2x}(dy)/(dx)-2e^{2x}y