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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+36y=5sec(6x)

y^{^{''}} + 36 y = 5 sec (6 x)

y^{''}-4y^'=(t^2+1)sin(2t)

y^{^{''}} - 4 y^{^{'}} = (t^{2} + 1) sin (2 t)

(d^2x)/(dt^2)+x=6cos(2t)

\frac{d ^{2} x}{d t ^{2}} + x = 6 cos (2 t)

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

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

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

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