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Popular >

y^'=e^{5x}-9x

Solution

y^{^{'}} = e^{5 x} - 9 x

Solution

y = \frac{1}{5} e^{5 x} - \frac{9 x ^{2}}{2} + c_{1}

Solution steps

y^{'} (x) = e^{5 x} - 9 x

If

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

then

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

y = \int e^{5 x} - 9 x d x

\int e^{5 x} - 9 x d x = \frac{1}{5} e^{5 x} - \frac{9 x ^{2}}{2} + c_{1}

y = \frac{1}{5} e^{5 x} - \frac{9 x ^{2}}{2} + c_{1}

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Frequently Asked Questions (FAQ)

What is the solution for y^'=e^{5x}-9x ?
The solution for y^'=e^{5x}-9x is y= 1/5 e^{5x}-(9x^2)/2+c_{1}