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Popular >

(1+x)ydx+xdy=0

Solution

(1 + x) y d x + x d y = 0

Solution

y = \frac{e ^{- x + c_{1}}}{x}

Solution steps

(1 + x) y d x + x d y = 0

Solve separable ODE:

y = \frac{e ^{- x + c_{1}}}{x}

y = \frac{e ^{- x + c_{1}}}{x}

Popular Examples

(dy)/(dx)=(7x^2)/(y^3)

\frac{d y}{d x} = \frac{7 x ^{2}}{y ^{3}}

2(dy)/(dt)+2y=3

2 \frac{d y}{d t} + 2 y = 3

(dV)/(dt)=10-(2V)/(100)

\frac{d V}{d t} = 10 - \frac{2 V}{100}

(dy)/(dx)=3x^2y^3

\frac{d y}{d x} = 3 x^{2} y^{3}

3y^4-1+12xy^3(dy)/(dx)=0

3 y^{4} - 1 + 12 x y^{3} \frac{d y}{d x} = 0

Frequently Asked Questions (FAQ)

What is the solution for (1+x)ydx+xdy=0 ?
The solution for (1+x)ydx+xdy=0 is y=(e^{-x+c_{1}})/x