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Beliebt Rechnen >

y^{''}-y^'-2y=2t^2-5

Lösung

y^{^{''}} - y^{^{'}} - 2 y = 2 t^{2} - 5

Lösung

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

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 2 y = 2 t^{2} - 5

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-3y^'-4y=2^{t-2},y(2)=1,y^'(2)=-1

y^{^{''}} - 3 y^{^{'}} - 4 y = 2^{t - 2}, y (2) = 1, y^{^{'}} (2) = - 1

y^{''}+4y=cos(2)(x)

y^{^{''}} + 4 y = cos (2) (x)

(d^2-2d+2)y=(x+e^x)sin(x)

(d^{2} - 2 d + 2) y = (x + e^{x}) sin (x)

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

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

(d^2y)/(dx^2)-2(dy)/(dx)+y=4sin(x)

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = 4 sin (x)