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Popular >

xy^'=7

Solution

x y^{^{'}} = 7

Solution

y = 7 ln (x) + c_{1}

Solution steps

x y^{'} (x) = 7

Isolate

y^{'} (x) : y^{'} (x) = \frac{7}{x}

If

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

then

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

y = \int \frac{7}{x} d x

\int \frac{7}{x} d x = 7 ln (x) + c_{1}

y = 7 ln (x) + c_{1}

Popular Examples

(\partial)/(\partial y)(3x^2e^{x^2y})

\frac{\partial}{\partial y} (3 x^{2} e^{x^{2} y})

area f(x)=cos(x),0, pi/2 area

f (x) = cos (x), 0, \frac{π}{2}

limit as x approaches infinity of-3x^2+5

x \to \infty lim (- 3 x^{2} + 5)

integral of xe^{x^{-2}}

\int x e^{x^{- 2}} d x

derivative of 3/(x^2+1)

\frac{d}{d x} (\frac{3}{x ^{2} + 1})

Frequently Asked Questions (FAQ)

What is the solution for xy^'=7 ?
The solution for xy^'=7 is y=7ln(x)+c_{1}