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Beliebt Rechnen >

y^{''}+y^'-2y=1+t

Lösung

y^{^{''}} + y^{^{'}} - 2 y = 1 + t

Lösung

y = c_{1} e^{t} + c_{2} e^{- 2 t} - \frac{t}{2} - \frac{3}{4}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 2 t} - \frac{t}{2} - \frac{3}{4}

y = c_{1} e^{t} + c_{2} e^{- 2 t} - \frac{t}{2} - \frac{3}{4}

Graph

Beliebte Beispiele

y^{'''}+25y^'=tan(5x)

y^{^{'''}} + 25 y^{^{'}} = tan (5 x)

y^{''}-2y^'+5y=-8

y^{^{''}} - 2 y^{^{'}} + 5 y = - 8

y^{''}+y^'=tan^2(x)

y^{^{''}} + y^{^{'}} = tan^{2} (x)

(d^2x)/(dt^2)+81x=2sin(9t)

\frac{d ^{2} x}{d t ^{2}} + 81 x = 2 sin (9 t)

(D^2-1)y=e^{-x}(2sin(x)+4cos(x))

(D^{2} - 1) y = e^{- x} (2 sin (x) + 4 cos (x))