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Popular >

simplify e^{-2x}(y'(x)-2y)

Solution

simplify

e^{- 2 x} (y^{'} (x) - 2 y)

Solution

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

Solution steps

e^{- 2 x} (y^{'} (x) - 2 y)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2 x}} (y^{^{'}} (x) - 2 y)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( y ^{^{'}} ( x ) - 2 y )}{e ^{2 x}}

1 \cdot (y^{'} (x) - 2 y) = y^{'} (x) - 2 y

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

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Frequently Asked Questions (FAQ)

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