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Popular >

simplify e^{-4x}(y'(x)-4y)

Solution

simplify

e^{- 4 x} (y^{'} (x) - 4 y)

Solution

\frac{y ' ( x ) - 4 y}{e ^{4 x}}

Solution steps

e^{- 4 x} (y^{'} (x) - 4 y)

Apply exponent rule:

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

= \frac{1}{e ^{4 x}} (y^{^{'}} (x) - 4 y)

Multiply fractions:

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

= \frac{1 \cdot ( y ^{^{'}} ( x ) - 4 y )}{e ^{4 x}}

1 \cdot (y^{'} (x) - 4 y) = y^{'} (x) - 4 y

= \frac{y ^{^{'}} ( x ) - 4 y}{e ^{4 x}}

Popular Examples

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7 e^{- 0.093 \cdot 20}

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8.67 \cdot 1 0^{- 3} (0.19) (0.11)

simplify (5^{x+1})/(3.75^{x+1)}simplify

\frac{5 ^{x + 1}}{3.7 5 ^{x + 1}}

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3 y^{2} (3 y^{4})

simplify 5*1.6*10^{-19}simplify

5 \cdot 1.6 \cdot 1 0^{- 19}

Frequently Asked Questions (FAQ)

What is e^{-4x}(y'(x)-4y) ?
The solution to e^{-4x}(y'(x)-4y) is (y'(x)-4y)/(e^{4x)}