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Beliebt Rechnen >

y^{''}-4y=8e^{2x}

Lösung

y^{^{''}} - 4 y = 8 e^{2 x}

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches 3 of x+12

x \to 3 lim (x + 12)

integral from 0 to 2pi of sin(θ)

\int_{0}^{2 π} sin (θ) d θ

(dy)/(dx)=e^{x+y+3}

\frac{d y}{d x} = e^{x + y + 3}

tangent 4x^3-13x^2+4

t an g e n t 4 x^{3} - 13 x^{2} + 4

derivative 9(sin(x)+xcos(x))

d er i v a t i v e 9 (sin (x) + x cos (x))