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Beliebt Rechnen >

(D^2-3D+2)y=e^{5x}

Lösung

(D^{2} - 3 D + 2) y = e^{5 x}

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{1}{12} e^{5 x}

Schritte zur Lösung

(D^{2} - 3 D + 2) y = e^{5 x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{1}{12} e^{5 x}

y = c_{1} e^{2 x} + c_{2} e^{x} + \frac{1}{12} e^{5 x}

Graph

Beliebte Beispiele

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

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

y^{''}+3y^'+6=0

y^{^{''}} + 3 y^{^{'}} + 6 = 0

y^{''}-4y^'+4y=1,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 4 y = 1, y^{^{'}} (0) = 0

y^{''}-10y^'+21y=240e^t

y^{^{''}} - 10 y^{^{'}} + 21 y = 240 e^{t}

20(d^4y)/(dx^4)+100(d^2y)/(dx^2)=139

20 \frac{d ^{4} y}{d x ^{4}} + 100 \frac{d ^{2} y}{d x ^{2}} = 139