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Popular >

(dx)/(dy)=y

Solution

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

Solution

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

Solution steps

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

Substitute

\frac{d x}{d y}

with

x^{'} (y)

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

If

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

then

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

x = \int y d y

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

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

Popular Examples

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x^2+y^2=2xy(dy)/(dx)

x^{2} + y^{2} = 2 x y \frac{d y}{d x}

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\int \frac{( x + 2 )}{x ^{2} - 6 x + 5} d x

derivative of sin(1)derivative of

sin (1)

Frequently Asked Questions (FAQ)

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