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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{t} + c_{2} e^{- 3 t} - \frac{t}{3} - \frac{2}{9}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 3 t} - \frac{t}{3} - \frac{2}{9}

y = c_{1} e^{t} + c_{2} e^{- 3 t} - \frac{t}{3} - \frac{2}{9}

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=x^2e^{3x}-8e^{3x}

y^{^{''}} - 6 y^{^{'}} + 9 y = x^{2} e^{3 x} - 8 e^{3 x}

y^{''}+5y^'+6y=10

y^{^{''}} + 5 y^{^{'}} + 6 y = 10

y^{''}+y^'=3x^2

y^{^{''}} + y^{^{'}} = 3 x^{2}

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

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

y^{''}-y^'-6y=17cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 17 cos (3 x)