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Popular >

(dy)/(dx)=5x

Solution

\frac{d y}{d x} = 5 x

Solution

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

Solution steps

\frac{d y}{d x} = 5 x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

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

If

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

then

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

y = \int 5 x d x

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

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

Graph

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Frequently Asked Questions (FAQ)

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