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Beliebt Rechnen >

y^{''}+4y^'+3y=x

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = x

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + \frac{x}{3} - \frac{4}{9}

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 3 y = x

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + \frac{x}{3} - \frac{4}{9}

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + \frac{x}{3} - \frac{4}{9}

Graph

Beliebte Beispiele

tangent f(x)=sqrt(x+5),\at x=11

t an g e n t f (x) = x + 5, at x = 11

tangent sqrt(3x-5)

t an g e n t 3 x - 5

integral of 1/(sqrt(x))e^{-sqrt(x)}

\int \frac{1}{x} e^{- x} d x

derivative of (x+1/x (x-1/x))

\frac{d}{d x} ((x + \frac{1}{x}) (x - \frac{1}{x}))

integral of e^{2x}+sin(-x)

\int e^{2 x} + sin (- x) d x