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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{1}{2} e^{x}

Schritte zur Lösung

y^{'''} (x) + y^{'} (x) = e^{x}

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{1}{2} e^{x}

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + \frac{1}{2} e^{x}

Graph

Beliebte Beispiele

y^{''}+4y=4t,y(0)=1,y^'(0)=5

y^{^{''}} + 4 y = 4 t, y (0) = 1, y^{^{'}} (0) = 5

y^{''}+4y=3csc(x)

y^{^{''}} + 4 y = 3 csc (x)

y^{'''}-6y^{''}+11y^'-6y=2xe^{-x}

y^{^{'''}} - 6 y^{^{''}} + 11 y^{^{'}} - 6 y = 2 x e^{- x}

y^{''}+4y=cos^2(2x)

y^{^{''}} + 4 y = cos^{2} (2 x)

y^{''}-5y^'+6y=(x+1)e^{-x}

y^{^{''}} - 5 y^{^{'}} + 6 y = (x + 1) e^{- x}