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Beliebt Rechnen >

y^{''}+3y^'+2y=7x

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = 7 x

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{7 x}{2} - \frac{21}{4}

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) + 2 y = 7 x

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{7 x}{2} - \frac{21}{4}

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{7 x}{2} - \frac{21}{4}

Graph

Beliebte Beispiele

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

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

(D-1)(D-2)(D-3)y=e^x

(D - 1) (D - 2) (D - 3) y = e^{x}

y^{''}+5y^'+4y=24

y^{^{''}} + 5 y^{^{'}} + 4 y = 24

d^2(d^2+4)y=96x^2

d^{2} (d^{2} + 4) y = 96 x^{2}

(d^2y)/(dt^2)+12(dy)/(dt)+32=32\H(t)

\frac{d ^{2} y}{d t ^{2}} + 12 \frac{d y}{d t} + 32 = 32 H (t)