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Beliebt Rechnen >

-y^{''}+2y^'+3y=1

Lösung

- y^{^{''}} + 2 y^{^{'}} + 3 y = 1

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'=e^x(3sin(x)+cos(x))

y^{^{''}} - y^{^{'}} = e^{x} (3 sin (x) + cos (x))

4(d^2y)/(dx^2)+9y=15

4 \frac{d ^{2} y}{d x ^{2}} + 9 y = 15

y^{''}-y=sin(t),y(0)=0,y^'(0)=0

y^{^{''}} - y = sin (t), y (0) = 0, y^{^{'}} (0) = 0

y^{''}+5y^'+6y=4x+5

y^{^{''}} + 5 y^{^{'}} + 6 y = 4 x + 5

3x^{''}+30x^'+125x=350

3 x^{^{''}} + 30 x^{^{'}} + 125 x = 350