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Beliebt Rechnen >

y^{''}+4y^'+3y=6e^{-x}

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 6 e^{- x}

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 3 x e^{- x}

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 3 y = 6 e^{- x}

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 3 x e^{- x}

y = c_{1} e^{- x} + c_{2} e^{- 3 x} + 3 x e^{- x}

Graph

Beliebte Beispiele

integral of 1/(sqrt(ax+b))

\int \frac{1}{a x + b} d x

derivative y=ln(x^2+y^2)

d er i v a t i v e y = ln (x^{2} + y^{2})

(\partial)/(\partial y)(e^{x^2-y^2})

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

derivative of x*sqrt(9-x)

\frac{d}{d x} (x \cdot 9 - x)

integral from 4 to 4 of f(x)

\int_{4}^{4} f (x) d x