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Popular >

y^'=e^{6x}-4x

Solution

y^{^{'}} = e^{6 x} - 4 x

Solution

y = \frac{1}{6} e^{6 x} - 2 x^{2} + c_{1}

Solution steps

y^{'} (x) = e^{6 x} - 4 x

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int e^{6 x} - 4 x d x

\int e^{6 x} - 4 x d x = \frac{1}{6} e^{6 x} - 2 x^{2} + c_{1}

y = \frac{1}{6} e^{6 x} - 2 x^{2} + c_{1}

Popular Examples

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\frac{- 200 ln ( \frac{f}{40} )}{( f + 20 )}

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\frac{d}{d x} (\frac{y}{1 + x ^{2}})

integral of (x^3)/5

\int \frac{x ^{3}}{5} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=e^{6x}-4x ?
The solution for y^'=e^{6x}-4x is y= 1/6 e^{6x}-2x^2+c_{1}