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Popular >

y^'=5x(x-3)

Solution

y^{^{'}} = 5 x (x - 3)

Solution

y = 5 (\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2}) + c_{1}

Solution steps

y^{'} (x) = 5 x (x - 3)

If

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

then

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

y = \int 5 x (x - 3) d x

\int 5 x (x - 3) d x = 5 (\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2}) + c_{1}

y = 5 (\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2}) + c_{1}

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Frequently Asked Questions (FAQ)

What is the solution for y^'=5x(x-3) ?
The solution for y^'=5x(x-3) is y=5((x^3)/3-(3x^2)/2)+c_{1}