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Beliebt Rechnen >

y^'+x/(x^2+1)y=-4x

Lösung

y^{^{'}} + \frac{x}{x ^{2} + 1} y = - 4 x

Lösung

y = - \frac{4 ( x ^{2} + 1 )}{3} + \frac{c _{1}}{x ^{2} + 1}

Schritte zur Lösung

y^{'} (x) + \frac{x}{x ^{2} + 1} y = - 4 x

Solve linear ODE:

y = - \frac{4 ( x ^{2} + 1 )}{3} + \frac{c _{1}}{x ^{2} + 1}

y = - \frac{4 ( x ^{2} + 1 )}{3} + \frac{c _{1}}{x ^{2} + 1}

Graph

Beliebte Beispiele

tangent y=(((x+2))/((x-3)))^2,\at x=4

t an g e n t y = (\frac{( x + 2 )}{( x - 3 )})^{2}, at x = 4

derivative of a(e^x+e^xx)

\frac{d}{d x} (a (e^{x} + e^{x} x))

integral of 1/6 x^2

\int \frac{1}{6} x^{2} d x

integral from 0 to 4 of 8e^{-3x}

\int_{0}^{4} 8 e^{- 3 x} d x

tangent f(x)=x^3-x+1,\at x=3

t an g e n t f (x) = x^{3} - x + 1, at x = 3