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Beliebt Rechnen >

y^{''}+4y^'+3y=32xe^x

Lösung

y^{^{''}} + 4 y^{^{'}} + 3 y = 32 x e^{x}

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 3 y = 32 x e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of 3x(18x^4+(13/(x+1)))

\frac{d}{d x} (3 x (18 x^{4} + \frac{13}{x + 1}))

derivative of ln(sin(x^3))

\frac{d}{d x} (ln (sin (x^{3})))

tangent xy=-121

t an g e n t x y = - 121

derivative y=12e^2x

d er i v a t i v e y = 12 e^{2} x

derivative of 2x^2+3x+2

\frac{d}{d x} (2 x^{2} + 3 x + 2)