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Beliebt Rechnen >

y^{''}-3y^'+2y=-e^t+2e^{2t}

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = - e^{t} + 2 e^{2 t}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{t} + e^{t} t + 2 t e^{2 t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = - e^{t} + 2 e^{2 t}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{t} + e^{t} t + 2 t e^{2 t}

y = c_{1} e^{2 t} + c_{2} e^{t} + e^{t} t + 2 t e^{2 t}

Graph

Beliebte Beispiele

y^{''}+y=3t^2,y(0)=0,y^'(0)=0

y^{^{''}} + y = 3 t^{2}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+4y=cos(4t)

y^{^{''}} + 4 y = cos (4 t)

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

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

(d^2y)/(dx^2)-4(dy)/(dx)+3=e^{-5x}

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 3 = e^{- 5 x}

(d^2-9)y=30sin^3(x)

(d^{2} - 9) y = 30 sin^{3} (x)