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Beliebt Rechnen >

y^{''}+4y^'+4y=8x^2

Lösung

y^{^{''}} + 4 y^{^{'}} + 4 y = 8 x^{2}

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 4 y = 8 x^{2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of xe^xy

\frac{d}{d x} (x e^{x} y)

(d^3)/(dx^3)(cos(x)-sin(x))

\frac{d ^{3}}{d x ^{3}} (cos (x) - sin (x))

integral of 6/(x(x+2))

\int \frac{6}{x ( x + 2 )} d x

limit as x approaches 3+of (|x-2|)/(x-2)

x \to 3 + lim (\frac{∣ x - 2 ∣}{x - 2})

(\partial)/(\partial x)(sqrt(56x^2-8y^2-16x-31)+1-8x)

\frac{\partial}{\partial x} (56 x^{2} - 8 y^{2} - 16 x - 31 + 1 - 8 x)