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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=4e^{2t},y(0)=-3,y^'(0)=5

y^{^{''}} - 3 y^{^{'}} + 2 y = 4 e^{2 t}, y (0) = - 3, y^{^{'}} (0) = 5

y^{^{''}} + 4 y = e^{t}

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

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

(d^2y)/(dx^2)-16(dy)/(dx)+16y=16(x-1)

\frac{d ^{2} y}{d x ^{2}} - 16 \frac{d y}{d x} + 16 y = 16 (x - 1)

y^{''}+9y=9sec^2(3x)

y^{^{''}} + 9 y = 9 sec^{2} (3 x)