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Popular >

xy^'=-y-x,y(1)=1

Solution

x y^{^{'}} = - y - x, y (1) = 1

Solution

y = - \frac{x}{2} + \frac{3}{2 x}

Solution steps

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

Solve linear ODE:

y = - \frac{x}{2} + \frac{3}{2 x}

y = - \frac{x}{2} + \frac{3}{2 x}

Popular Examples

limit as x approaches-2 of (-x)/(-x+2)

x \to - 2 lim (\frac{- x}{- x + 2})

derivative of (7x)^x derivative of

(7 x)^{x}

integral of (2x+5)/(x^2+x)

\int \frac{2 x + 5}{x ^{2} + x} d x

integral of ((1-2/3 x^2)^6)(x)

\int ((1 - \frac{2}{3} x^{2})^{6}) (x) d x

(\partial)/(\partial y)(sqrt(x^2+y^2-1))

\frac{\partial}{\partial y} (x^{2} + y^{2} - 1)

Frequently Asked Questions (FAQ)

What is the solution for xy^'=-y-x,y(1)=1 ?
The solution for xy^'=-y-x,y(1)=1 is y=-x/2+3/(2x)