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Beliebt Rechnen >

(d^2y)/(dx^2)-2(dy)/(dx)-3y=5

Lösung

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} - 3 y = 5

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{5}{3}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} - 3 y = 5

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{5}{3}

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{5}{3}

Graph

Beliebte Beispiele

y^{''}+y=sin(t),y(0)=1,y^'(0)=1

y^{^{''}} + y = sin (t), y (0) = 1, y^{^{'}} (0) = 1

(d^2y)/(dx^2)-(dy)/(dx)=x^2

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} = x^{2}

y^{''}+4y^'+4y=(e^{-2x})/(x^2+1)

y^{^{''}} + 4 y^{^{'}} + 4 y = \frac{e ^{- 2 x}}{x ^{2} + 1}

y^{''}-3y^'+2y=5e^{3x}

y^{^{''}} - 3 y^{^{'}} + 2 y = 5 e^{3 x}

y^{''}-16y=e^{4x}

y^{^{''}} - 16 y = e^{4 x}