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Popular >

xy^'=x+y

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of (Kx+11/(x^2+(K+1)x+11))

\frac{d}{d x} (\frac{K x + 11}{x ^{2} + ( K + 1 ) x + 11})

integral of sin(9x)cos(5x)

\int sin (9 x) cos (5 x) d x

limit as x approaches 0 of 8xcot(3x)

x \to 0 lim (8 x cot (3 x))

sum from n=1 to infinity of ((n+1)/n)^n

n = 1 \sum \infty (\frac{n + 1}{n})^{n}

y^{''}-2y^'+y=xe^{-x}

y^{^{''}} - 2 y^{^{'}} + y = x e^{- x}

Frequently Asked Questions (FAQ)

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