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Popular Calculus >

xy^'=y-x

Solution

x y^{^{'}} = y - x

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

derivative of (5x^3+2^4)

\frac{d}{d x} ((5 x^{3} + 2)^{4})

derivative of 6/(x^2-9)

\frac{d}{d x} (\frac{6}{x ^{2} - 9})

tangent of f(x)=sqrt(7x+4),\at x=3

t an g e n t f (x) = 7 x + 4, at x = 3

derivative of (x^5+9/(x^3))

\frac{d}{d x} (\frac{x ^{5} + 9}{x ^{3}})

integral of 1/((x^2+a^2))

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

Frequently Asked Questions (FAQ)

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