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Popular Calculus >

(dy)/(dx)=10x

Solution

\frac{d y}{d x} = 10 x

Solution

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

Solution steps

\frac{d y}{d x} = 10 x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 10 x

If

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

then

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

y = \int 10 x d x

\int 10 x d x = 5 x^{2} + c_{1}

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

Graph

Popular Examples

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(xdy)/(dx)+y=e^x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=10x ?
The solution for (dy)/(dx)=10x is y=5x^2+c_{1}