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Popular >

x+xy^'=y

Solution

x + x y^{^{'}} = y

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of e^{-5x}cos(3x)

\int e^{- 5 x} cos (3 x) d x

derivative of sqrt(5/2+3/2 x)derivative of

\frac{5}{2} + \frac{3}{2} x

derivative of 1/((x-7^2))

\frac{d}{d x} (\frac{1}{( x - 7 ) ^{2}})

integral of (cos(ln(x)))/(3x)

\int \frac{cos ( ln ( x ) )}{3 x} d x

derivative of f(x)=tan(4)x^3 derivative of

f (x) = tan (4) x^{3}

Frequently Asked Questions (FAQ)

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