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Beliebt Rechnen >

y^{''}+y^'=tan(t)

Lösung

y^{^{''}} + y^{^{'}} = tan (t)

Lösung

y = c_{1} + c_{2} e^{- t} - ln (cos (t)) + e^{- t} \cdot \int - e^{t} tan (t) d t

Schritte zur Lösung

y^{''} (t) + y^{'} (t) = tan (t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} - ln (cos (t)) + e^{- t} \cdot \int - e^{t} tan (t) d t

y = c_{1} + c_{2} e^{- t} - ln (cos (t)) + e^{- t} \cdot \int - e^{t} tan (t) d t

Beliebte Beispiele

x^{''}-2x^'+2x=t

x^{^{''}} - 2 x^{^{'}} + 2 x = t

y^{''}-4y^'-2y=2e^{-3t},y(0)=1,y^'(0)=7

y^{^{''}} - 4 y^{^{'}} - 2 y = 2 e^{- 3 t}, y (0) = 1, y^{^{'}} (0) = 7

y^{''}+4y^'+12y=4x^2

y^{^{''}} + 4 y^{^{'}} + 12 y = 4 x^{2}

y^{'''}-9y^{''}+27y^'-27y=9e^{3x}

y^{^{'''}} - 9 y^{^{''}} + 27 y^{^{'}} - 27 y = 9 e^{3 x}

y^{''}+6y^'+5y=t*e^{-t}

y^{^{''}} + 6 y^{^{'}} + 5 y = t \cdot e^{- t}