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Popular >

derivative of xy=4

Solution

\frac{d}{d x} (x y) = 4

Solution

y = 4 + \frac{c _{1}}{x}

Solution steps

\frac{d}{d x} (x y) = 4

If

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

then

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

x y = \int 4 d x

\int 4 d x = 4 x + c_{1}

x y = 4 x + c_{1}

Isolate

y : y = 4 + \frac{c _{1}}{x}

y = 4 + \frac{c _{1}}{x}

Graph

Popular Examples

y^'+(1+y^3)/(xy^2(1+x^2))=0

y^{^{'}} + \frac{1 + y ^{3}}{x y ^{2} ( 1 + x ^{2} )} = 0

(dy)/(dx)=-5/3 x^3y^6

\frac{d y}{d x} = - \frac{5}{3} x^{3} y^{6}

(dx)/(dy)=y-4xy

\frac{d x}{d y} = y - 4 x y

(dy)/(dt)+2(t+1)y^2=0,y(0)=-1/15

\frac{d y}{d t} + 2 (t + 1) y^{2} = 0, y (0) = - \frac{1}{15}

10y^'-2y-63=9y^'

10 y^{^{'}} - 2 y - 63 = 9 y^{^{'}}

Frequently Asked Questions (FAQ)

What is the solution for derivative of xy=4 ?
The solution for derivative of xy=4 is y=4+(c_{1})/x