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Popular >

derivative of xy=0

Solution

\frac{d}{d x} (x y) = 0

Solution

y = \frac{c _{1}}{x}

Solution steps

\frac{d}{d x} (x y) = 0

If

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

then

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

x y = \int 0 d x

\int 0 d x = c_{1}

x y = c_{1}

Isolate

y : y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

Popular Examples

(dp)/(dt)=p-p^2

\frac{d p}{d t} = p - p^{2}

e^{-x^2}(dy)/(dx)=x(y+2)^2

e^{- x^{2}} \frac{d y}{d x} = x (y + 2)^{2}

sqrt(1-y^2)dx=(1+x^2)ydy,y(0)=0

1 - y^{2} d x = (1 + x^{2}) y d y, y (0) = 0

y^'=((1-2x))/y ,y(1)=-2

y^{^{'}} = \frac{( 1 - 2 x )}{y}, y (1) = - 2

y^'= 1/(y^2),y(1)=1

y^{^{'}} = \frac{1}{y ^{2}}, y (1) = 1

Frequently Asked Questions (FAQ)

What is the solution for derivative of xy=0 ?
The solution for derivative of xy=0 is y=(c_{1})/x