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Beliebt Rechnen >

y^{''}+y=2e^t

Lösung

y^{^{''}} + y = 2 e^{t}

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + e^{t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + e^{t}

y = c_{1} cos (t) + c_{2} sin (t) + e^{t}

Graph

Beliebte Beispiele

y^{''}-y^'-6y=50e^{-2x}

y^{^{''}} - y^{^{'}} - 6 y = 50 e^{- 2 x}

y^{''}+4y^'+5y=e^{-4x},y(0)=-2,y^'(0)=1

y^{^{''}} + 4 y^{^{'}} + 5 y = e^{- 4 x}, y (0) = - 2, y^{^{'}} (0) = 1

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

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

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

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

y^{''}+16y=sec^3(4t)

y^{^{''}} + 16 y = sec^{3} (4 t)