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Popular Calculus >

y^'=e^{8x}-6x

Solution

y^{^{'}} = e^{8 x} - 6 x

Solution

y = \frac{1}{8} e^{8 x} - 3 x^{2} + c_{1}

Solution steps

y^{'} (x) = e^{8 x} - 6 x

If

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

then

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

y = \int e^{8 x} - 6 x d x

\int e^{8 x} - 6 x d x = \frac{1}{8} e^{8 x} - 3 x^{2} + c_{1}

y = \frac{1}{8} e^{8 x} - 3 x^{2} + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for y^'=e^{8x}-6x ?
The solution for y^'=e^{8x}-6x is y= 1/8 e^{8x}-3x^2+c_{1}